1,1,60,0,3.823393," ","integrate(x**3*atan(b*x**4+a),x)","\begin{cases} \frac{a \operatorname{atan}{\left(a + b x^{4} \right)}}{4 b} + \frac{x^{4} \operatorname{atan}{\left(a + b x^{4} \right)}}{4} - \frac{\log{\left(a^{2} + 2 a b x^{4} + b^{2} x^{8} + 1 \right)}}{8 b} & \text{for}\: b \neq 0 \\\frac{x^{4} \operatorname{atan}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*atan(a + b*x**4)/(4*b) + x**4*atan(a + b*x**4)/4 - log(a**2 + 2*a*b*x**4 + b**2*x**8 + 1)/(8*b), Ne(b, 0)), (x**4*atan(a)/4, True))","A",0
2,-1,0,0,0.000000," ","integrate(x**(-1+n)*atan(a+b*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3,1,129,0,7.248051," ","integrate(x**5*atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2)),x)","\begin{cases} \frac{5 i d^{3} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{96 e^{3}} - \frac{5 i d^{2} x \sqrt{d + e x^{2}}}{96 e^{\frac{5}{2}}} + \frac{5 i d x^{3} \sqrt{d + e x^{2}}}{144 e^{\frac{3}{2}}} + \frac{i x^{6} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{6} - \frac{i x^{5} \sqrt{d + e x^{2}}}{36 \sqrt{e}} & \text{for}\: e \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((5*I*d**3*atanh(sqrt(e)*x/sqrt(d + e*x**2))/(96*e**3) - 5*I*d**2*x*sqrt(d + e*x**2)/(96*e**(5/2)) + 5*I*d*x**3*sqrt(d + e*x**2)/(144*e**(3/2)) + I*x**6*atanh(sqrt(e)*x/sqrt(d + e*x**2))/6 - I*x**5*sqrt(d + e*x**2)/(36*sqrt(e)), Ne(e, 0)), (0, True))","A",0
4,1,102,0,2.455408," ","integrate(x**3*atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2)),x)","\begin{cases} - \frac{3 i d^{2} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{32 e^{2}} + \frac{3 i d x \sqrt{d + e x^{2}}}{32 e^{\frac{3}{2}}} + \frac{i x^{4} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{4} - \frac{i x^{3} \sqrt{d + e x^{2}}}{16 \sqrt{e}} & \text{for}\: e \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*I*d**2*atanh(sqrt(e)*x/sqrt(d + e*x**2))/(32*e**2) + 3*I*d*x*sqrt(d + e*x**2)/(32*e**(3/2)) + I*x**4*atanh(sqrt(e)*x/sqrt(d + e*x**2))/4 - I*x**3*sqrt(d + e*x**2)/(16*sqrt(e)), Ne(e, 0)), (0, True))","A",0
5,1,71,0,0.991701," ","integrate(x*atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2)),x)","\begin{cases} \frac{i d \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{4 e} + \frac{i x^{2} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{2} - \frac{i x \sqrt{d + e x^{2}}}{4 \sqrt{e}} & \text{for}\: e \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*d*atanh(sqrt(e)*x/sqrt(d + e*x**2))/(4*e) + I*x**2*atanh(sqrt(e)*x/sqrt(d + e*x**2))/2 - I*x*sqrt(d + e*x**2)/(4*sqrt(e)), Ne(e, 0)), (0, True))","A",0
6,0,0,0,0.000000," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2))/x,x)","\int \frac{\operatorname{atan}{\left(\frac{x \sqrt{- e}}{\sqrt{d + e x^{2}}} \right)}}{x}\, dx"," ",0,"Integral(atan(x*sqrt(-e)/sqrt(d + e*x**2))/x, x)","F",0
7,1,53,0,4.595034," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2))/x**3,x)","- \frac{\operatorname{atan}{\left(\frac{x \sqrt{- e}}{\sqrt{d + e x^{2}}} \right)}}{2 x^{2}} - \frac{\sqrt{e} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{2 d}"," ",0,"-atan(x*sqrt(-e)/sqrt(d + e*x**2))/(2*x**2) - sqrt(e)*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(2*d)","A",0
8,1,83,0,5.127690," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2))/x**5,x)","- \frac{\operatorname{atan}{\left(\frac{x \sqrt{- e}}{\sqrt{d + e x^{2}}} \right)}}{4 x^{4}} - \frac{\sqrt{e} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{12 d x^{2}} + \frac{e^{\frac{3}{2}} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{6 d^{2}}"," ",0,"-atan(x*sqrt(-e)/sqrt(d + e*x**2))/(4*x**4) - sqrt(e)*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(12*d*x**2) + e**(3/2)*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(6*d**2)","A",0
9,1,352,0,6.502352," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2))/x**7,x)","- \frac{d^{4} e^{\frac{9}{2}} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{30 d^{5} e^{4} x^{4} + 60 d^{4} e^{5} x^{6} + 30 d^{3} e^{6} x^{8}} - \frac{d^{3} e^{\frac{11}{2}} x^{2} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{45 d^{5} e^{4} x^{4} + 90 d^{4} e^{5} x^{6} + 45 d^{3} e^{6} x^{8}} - \frac{d^{2} e^{\frac{13}{2}} x^{4} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{30 d^{5} e^{4} x^{4} + 60 d^{4} e^{5} x^{6} + 30 d^{3} e^{6} x^{8}} - \frac{2 d e^{\frac{15}{2}} x^{6} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{15 d^{5} e^{4} x^{4} + 30 d^{4} e^{5} x^{6} + 15 d^{3} e^{6} x^{8}} - \frac{4 e^{\frac{17}{2}} x^{8} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{45 d^{5} e^{4} x^{4} + 90 d^{4} e^{5} x^{6} + 45 d^{3} e^{6} x^{8}} - \frac{\operatorname{atan}{\left(\frac{x \sqrt{- e}}{\sqrt{d + e x^{2}}} \right)}}{6 x^{6}}"," ",0,"-d**4*e**(9/2)*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(30*d**5*e**4*x**4 + 60*d**4*e**5*x**6 + 30*d**3*e**6*x**8) - d**3*e**(11/2)*x**2*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(45*d**5*e**4*x**4 + 90*d**4*e**5*x**6 + 45*d**3*e**6*x**8) - d**2*e**(13/2)*x**4*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(30*d**5*e**4*x**4 + 60*d**4*e**5*x**6 + 30*d**3*e**6*x**8) - 2*d*e**(15/2)*x**6*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(15*d**5*e**4*x**4 + 30*d**4*e**5*x**6 + 15*d**3*e**6*x**8) - 4*e**(17/2)*x**8*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(45*d**5*e**4*x**4 + 90*d**4*e**5*x**6 + 45*d**3*e**6*x**8) - atan(x*sqrt(-e)/sqrt(d + e*x**2))/(6*x**6)","B",0
10,1,575,0,9.154778," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2))/x**9,x)","- \frac{5 d^{6} e^{\frac{19}{2}} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{280 d^{7} e^{9} x^{6} + 840 d^{6} e^{10} x^{8} + 840 d^{5} e^{11} x^{10} + 280 d^{4} e^{12} x^{12}} - \frac{9 d^{5} e^{\frac{21}{2}} x^{2} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{280 d^{7} e^{9} x^{6} + 840 d^{6} e^{10} x^{8} + 840 d^{5} e^{11} x^{10} + 280 d^{4} e^{12} x^{12}} - \frac{5 d^{4} e^{\frac{23}{2}} x^{4} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{280 d^{7} e^{9} x^{6} + 840 d^{6} e^{10} x^{8} + 840 d^{5} e^{11} x^{10} + 280 d^{4} e^{12} x^{12}} + \frac{5 d^{3} e^{\frac{25}{2}} x^{6} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{280 d^{7} e^{9} x^{6} + 840 d^{6} e^{10} x^{8} + 840 d^{5} e^{11} x^{10} + 280 d^{4} e^{12} x^{12}} + \frac{15 d^{2} e^{\frac{27}{2}} x^{8} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{140 d^{7} e^{9} x^{6} + 420 d^{6} e^{10} x^{8} + 420 d^{5} e^{11} x^{10} + 140 d^{4} e^{12} x^{12}} + \frac{5 d e^{\frac{29}{2}} x^{10} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{35 d^{7} e^{9} x^{6} + 105 d^{6} e^{10} x^{8} + 105 d^{5} e^{11} x^{10} + 35 d^{4} e^{12} x^{12}} + \frac{2 e^{\frac{31}{2}} x^{12} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{35 d^{7} e^{9} x^{6} + 105 d^{6} e^{10} x^{8} + 105 d^{5} e^{11} x^{10} + 35 d^{4} e^{12} x^{12}} - \frac{\operatorname{atan}{\left(\frac{x \sqrt{- e}}{\sqrt{d + e x^{2}}} \right)}}{8 x^{8}}"," ",0,"-5*d**6*e**(19/2)*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(280*d**7*e**9*x**6 + 840*d**6*e**10*x**8 + 840*d**5*e**11*x**10 + 280*d**4*e**12*x**12) - 9*d**5*e**(21/2)*x**2*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(280*d**7*e**9*x**6 + 840*d**6*e**10*x**8 + 840*d**5*e**11*x**10 + 280*d**4*e**12*x**12) - 5*d**4*e**(23/2)*x**4*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(280*d**7*e**9*x**6 + 840*d**6*e**10*x**8 + 840*d**5*e**11*x**10 + 280*d**4*e**12*x**12) + 5*d**3*e**(25/2)*x**6*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(280*d**7*e**9*x**6 + 840*d**6*e**10*x**8 + 840*d**5*e**11*x**10 + 280*d**4*e**12*x**12) + 15*d**2*e**(27/2)*x**8*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(140*d**7*e**9*x**6 + 420*d**6*e**10*x**8 + 420*d**5*e**11*x**10 + 140*d**4*e**12*x**12) + 5*d*e**(29/2)*x**10*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(35*d**7*e**9*x**6 + 105*d**6*e**10*x**8 + 105*d**5*e**11*x**10 + 35*d**4*e**12*x**12) + 2*e**(31/2)*x**12*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(35*d**7*e**9*x**6 + 105*d**6*e**10*x**8 + 105*d**5*e**11*x**10 + 35*d**4*e**12*x**12) - atan(x*sqrt(-e)/sqrt(d + e*x**2))/(8*x**8)","B",0
11,1,124,0,11.608475," ","integrate(x**6*atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2)),x)","\begin{cases} \frac{16 i d^{3} \sqrt{d + e x^{2}}}{245 e^{\frac{7}{2}}} - \frac{8 i d^{2} x^{2} \sqrt{d + e x^{2}}}{245 e^{\frac{5}{2}}} + \frac{6 i d x^{4} \sqrt{d + e x^{2}}}{245 e^{\frac{3}{2}}} + \frac{i x^{7} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{7} - \frac{i x^{6} \sqrt{d + e x^{2}}}{49 \sqrt{e}} & \text{for}\: e \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((16*I*d**3*sqrt(d + e*x**2)/(245*e**(7/2)) - 8*I*d**2*x**2*sqrt(d + e*x**2)/(245*e**(5/2)) + 6*I*d*x**4*sqrt(d + e*x**2)/(245*e**(3/2)) + I*x**7*atanh(sqrt(e)*x/sqrt(d + e*x**2))/7 - I*x**6*sqrt(d + e*x**2)/(49*sqrt(e)), Ne(e, 0)), (0, True))","A",0
12,1,97,0,3.563405," ","integrate(x**4*atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2)),x)","\begin{cases} - \frac{8 i d^{2} \sqrt{d + e x^{2}}}{75 e^{\frac{5}{2}}} + \frac{4 i d x^{2} \sqrt{d + e x^{2}}}{75 e^{\frac{3}{2}}} + \frac{i x^{5} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{5} - \frac{i x^{4} \sqrt{d + e x^{2}}}{25 \sqrt{e}} & \text{for}\: e \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((-8*I*d**2*sqrt(d + e*x**2)/(75*e**(5/2)) + 4*I*d*x**2*sqrt(d + e*x**2)/(75*e**(3/2)) + I*x**5*atanh(sqrt(e)*x/sqrt(d + e*x**2))/5 - I*x**4*sqrt(d + e*x**2)/(25*sqrt(e)), Ne(e, 0)), (0, True))","A",0
13,1,70,0,1.239379," ","integrate(x**2*atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2)),x)","\begin{cases} \frac{2 i d \sqrt{d + e x^{2}}}{9 e^{\frac{3}{2}}} + \frac{i x^{3} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{3} - \frac{i x^{2} \sqrt{d + e x^{2}}}{9 \sqrt{e}} & \text{for}\: e \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*I*d*sqrt(d + e*x**2)/(9*e**(3/2)) + I*x**3*atanh(sqrt(e)*x/sqrt(d + e*x**2))/3 - I*x**2*sqrt(d + e*x**2)/(9*sqrt(e)), Ne(e, 0)), (0, True))","A",0
14,1,39,0,1.058207," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2)),x)","\begin{cases} i x \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)} - \frac{i \sqrt{d + e x^{2}}}{\sqrt{e}} & \text{for}\: e \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*x*atanh(sqrt(e)*x/sqrt(d + e*x**2)) - I*sqrt(d + e*x**2)/sqrt(e), Ne(e, 0)), (0, True))","A",0
15,1,60,0,5.543037," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2))/x**2,x)","- \frac{\operatorname{atan}{\left(\frac{x \sqrt{- e}}{\sqrt{d + e x^{2}}} \right)}}{x} + \frac{\sqrt{- e} \operatorname{atan}{\left(\frac{1}{\sqrt{- \frac{1}{d}} \sqrt{d + e x^{2}}} \right)}}{d \sqrt{- \frac{1}{d}}}"," ",0,"-atan(x*sqrt(-e)/sqrt(d + e*x**2))/x + sqrt(-e)*atan(1/(sqrt(-1/d)*sqrt(d + e*x**2)))/(d*sqrt(-1/d))","A",0
16,1,82,0,11.583388," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2))/x**4,x)","- \frac{\operatorname{atan}{\left(\frac{x \sqrt{- e}}{\sqrt{d + e x^{2}}} \right)}}{3 x^{3}} - \frac{\sqrt{e} \sqrt{- e} \sqrt{\frac{d}{e x^{2}} + 1}}{6 d x} + \frac{e \sqrt{- e} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{e} x} \right)}}{6 d^{\frac{3}{2}}}"," ",0,"-atan(x*sqrt(-e)/sqrt(d + e*x**2))/(3*x**3) - sqrt(e)*sqrt(-e)*sqrt(d/(e*x**2) + 1)/(6*d*x) + e*sqrt(-e)*asinh(sqrt(d)/(sqrt(e)*x))/(6*d**(3/2))","A",0
17,1,148,0,19.726915," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2))/x**6,x)","- \frac{\operatorname{atan}{\left(\frac{x \sqrt{- e}}{\sqrt{d + e x^{2}}} \right)}}{5 x^{5}} - \frac{\sqrt{- e}}{20 \sqrt{e} x^{5} \sqrt{\frac{d}{e x^{2}} + 1}} + \frac{\sqrt{e} \sqrt{- e}}{40 d x^{3} \sqrt{\frac{d}{e x^{2}} + 1}} + \frac{3 e^{\frac{3}{2}} \sqrt{- e}}{40 d^{2} x \sqrt{\frac{d}{e x^{2}} + 1}} - \frac{3 e^{2} \sqrt{- e} \operatorname{asinh}{\left(\frac{\sqrt{d}}{\sqrt{e} x} \right)}}{40 d^{\frac{5}{2}}}"," ",0,"-atan(x*sqrt(-e)/sqrt(d + e*x**2))/(5*x**5) - sqrt(-e)/(20*sqrt(e)*x**5*sqrt(d/(e*x**2) + 1)) + sqrt(e)*sqrt(-e)/(40*d*x**3*sqrt(d/(e*x**2) + 1)) + 3*e**(3/2)*sqrt(-e)/(40*d**2*x*sqrt(d/(e*x**2) + 1)) - 3*e**2*sqrt(-e)*asinh(sqrt(d)/(sqrt(e)*x))/(40*d**(5/2))","A",0
18,-1,0,0,0.000000," ","integrate(x**(9/2)*atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
19,1,75,0,150.301827," ","integrate(x**(5/2)*atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2)),x)","\frac{2 x^{\frac{7}{2}} \operatorname{atan}{\left(\frac{x \sqrt{- e}}{\sqrt{d + e x^{2}}} \right)}}{7} - \frac{x^{\frac{9}{2}} \sqrt{- e} \Gamma\left(\frac{9}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{9}{4} \\ \frac{13}{4} \end{matrix}\middle| {\frac{e x^{2} e^{i \pi}}{d}} \right)}}{7 \sqrt{d} \Gamma\left(\frac{13}{4}\right)}"," ",0,"2*x**(7/2)*atan(x*sqrt(-e)/sqrt(d + e*x**2))/7 - x**(9/2)*sqrt(-e)*gamma(9/4)*hyper((1/2, 9/4), (13/4,), e*x**2*exp_polar(I*pi)/d)/(7*sqrt(d)*gamma(13/4))","C",0
20,1,75,0,3.961802," ","integrate(x**(1/2)*atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2)),x)","\frac{2 x^{\frac{3}{2}} \operatorname{atan}{\left(\frac{x \sqrt{- e}}{\sqrt{d + e x^{2}}} \right)}}{3} - \frac{x^{\frac{5}{2}} \sqrt{- e} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{e x^{2} e^{i \pi}}{d}} \right)}}{3 \sqrt{d} \Gamma\left(\frac{9}{4}\right)}"," ",0,"2*x**(3/2)*atan(x*sqrt(-e)/sqrt(d + e*x**2))/3 - x**(5/2)*sqrt(-e)*gamma(5/4)*hyper((1/2, 5/4), (9/4,), e*x**2*exp_polar(I*pi)/d)/(3*sqrt(d)*gamma(9/4))","C",0
21,1,71,0,5.368904," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2))/x**(3/2),x)","- \frac{2 \operatorname{atan}{\left(\frac{x \sqrt{- e}}{\sqrt{d + e x^{2}}} \right)}}{\sqrt{x}} + \frac{\sqrt{x} \sqrt{- e} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{2} \\ \frac{5}{4} \end{matrix}\middle| {\frac{e x^{2} e^{i \pi}}{d}} \right)}}{\sqrt{d} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-2*atan(x*sqrt(-e)/sqrt(d + e*x**2))/sqrt(x) + sqrt(x)*sqrt(-e)*gamma(1/4)*hyper((1/4, 1/2), (5/4,), e*x**2*exp_polar(I*pi)/d)/(sqrt(d)*gamma(5/4))","C",0
22,1,78,0,146.125360," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2))/x**(7/2),x)","- \frac{2 \operatorname{atan}{\left(\frac{x \sqrt{- e}}{\sqrt{d + e x^{2}}} \right)}}{5 x^{\frac{5}{2}}} + \frac{\sqrt{- e} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{2} \\ \frac{1}{4} \end{matrix}\middle| {\frac{e x^{2} e^{i \pi}}{d}} \right)}}{5 \sqrt{d} x^{\frac{3}{2}} \Gamma\left(\frac{1}{4}\right)}"," ",0,"-2*atan(x*sqrt(-e)/sqrt(d + e*x**2))/(5*x**(5/2)) + sqrt(-e)*gamma(-3/4)*hyper((-3/4, 1/2), (1/4,), e*x**2*exp_polar(I*pi)/d)/(5*sqrt(d)*x**(3/2)*gamma(1/4))","C",0
23,-1,0,0,0.000000," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2))/x**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,-1,0,0,0.000000," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2))/x**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
25,-1,0,0,0.000000," ","integrate(x**(7/2)*atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
26,1,75,0,13.070747," ","integrate(x**(3/2)*atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2)),x)","\frac{2 x^{\frac{5}{2}} \operatorname{atan}{\left(\frac{x \sqrt{- e}}{\sqrt{d + e x^{2}}} \right)}}{5} - \frac{x^{\frac{7}{2}} \sqrt{- e} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{e x^{2} e^{i \pi}}{d}} \right)}}{5 \sqrt{d} \Gamma\left(\frac{11}{4}\right)}"," ",0,"2*x**(5/2)*atan(x*sqrt(-e)/sqrt(d + e*x**2))/5 - x**(7/2)*sqrt(-e)*gamma(7/4)*hyper((1/2, 7/4), (11/4,), e*x**2*exp_polar(I*pi)/d)/(5*sqrt(d)*gamma(11/4))","C",0
27,1,71,0,8.901104," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2))/x**(1/2),x)","2 \sqrt{x} \operatorname{atan}{\left(\frac{x \sqrt{- e}}{\sqrt{d + e x^{2}}} \right)} - \frac{x^{\frac{3}{2}} \sqrt{- e} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{e x^{2} e^{i \pi}}{d}} \right)}}{\sqrt{d} \Gamma\left(\frac{7}{4}\right)}"," ",0,"2*sqrt(x)*atan(x*sqrt(-e)/sqrt(d + e*x**2)) - x**(3/2)*sqrt(-e)*gamma(3/4)*hyper((1/2, 3/4), (7/4,), e*x**2*exp_polar(I*pi)/d)/(sqrt(d)*gamma(7/4))","C",0
28,1,78,0,13.090308," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2))/x**(5/2),x)","- \frac{2 \operatorname{atan}{\left(\frac{x \sqrt{- e}}{\sqrt{d + e x^{2}}} \right)}}{3 x^{\frac{3}{2}}} + \frac{\sqrt{- e} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{2} \\ \frac{3}{4} \end{matrix}\middle| {\frac{e x^{2} e^{i \pi}}{d}} \right)}}{3 \sqrt{d} \sqrt{x} \Gamma\left(\frac{3}{4}\right)}"," ",0,"-2*atan(x*sqrt(-e)/sqrt(d + e*x**2))/(3*x**(3/2)) + sqrt(-e)*gamma(-1/4)*hyper((-1/4, 1/2), (3/4,), e*x**2*exp_polar(I*pi)/d)/(3*sqrt(d)*sqrt(x)*gamma(3/4))","C",0
29,-1,0,0,0.000000," ","integrate(atan(x*(-e)**(1/2)/(e*x**2+d)**(1/2))/x**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
30,1,41,0,0.887891," ","integrate(atan(x**2+x+1)/x**2,x)","\frac{\log{\left(x \right)}}{2} - \frac{\log{\left(x^{2} + 1 \right)}}{2} + \frac{\log{\left(x^{2} + 2 x + 2 \right)}}{4} + \frac{\operatorname{atan}{\left(x + 1 \right)}}{2} - \frac{\operatorname{atan}{\left(x^{2} + x + 1 \right)}}{x}"," ",0,"log(x)/2 - log(x**2 + 1)/2 + log(x**2 + 2*x + 2)/4 + atan(x + 1)/2 - atan(x**2 + x + 1)/x","A",0
31,0,0,0,0.000000," ","integrate((a+b*atan((-c*x+1)**(1/2)/(c*x+1)**(1/2)))**n/(-c**2*x**2+1),x)","- \int \frac{\left(a + b \operatorname{atan}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)}\right)^{n}}{c^{2} x^{2} - 1}\, dx"," ",0,"-Integral((a + b*atan(sqrt(-c*x + 1)/sqrt(c*x + 1)))**n/(c**2*x**2 - 1), x)","F",0
32,-1,0,0,0.000000," ","integrate((a+b*atan((-c*x+1)**(1/2)/(c*x+1)**(1/2)))**3/(-c**2*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
33,-1,0,0,0.000000," ","integrate((a+b*atan((-c*x+1)**(1/2)/(c*x+1)**(1/2)))**2/(-c**2*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
34,-1,0,0,0.000000," ","integrate((a+b*atan((-c*x+1)**(1/2)/(c*x+1)**(1/2)))/(-c**2*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
35,0,0,0,0.000000," ","integrate(1/(-c**2*x**2+1)/(a+b*atan((-c*x+1)**(1/2)/(c*x+1)**(1/2))),x)","- \int \frac{1}{a c^{2} x^{2} - a + b c^{2} x^{2} \operatorname{atan}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)} - b \operatorname{atan}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)}}\, dx"," ",0,"-Integral(1/(a*c**2*x**2 - a + b*c**2*x**2*atan(sqrt(-c*x + 1)/sqrt(c*x + 1)) - b*atan(sqrt(-c*x + 1)/sqrt(c*x + 1))), x)","F",0
36,0,0,0,0.000000," ","integrate(1/(-c**2*x**2+1)/(a+b*atan((-c*x+1)**(1/2)/(c*x+1)**(1/2)))**2,x)","- \int \frac{1}{a^{2} c^{2} x^{2} - a^{2} + 2 a b c^{2} x^{2} \operatorname{atan}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)} - 2 a b \operatorname{atan}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)} + b^{2} c^{2} x^{2} \operatorname{atan}^{2}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)} - b^{2} \operatorname{atan}^{2}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)}}\, dx"," ",0,"-Integral(1/(a**2*c**2*x**2 - a**2 + 2*a*b*c**2*x**2*atan(sqrt(-c*x + 1)/sqrt(c*x + 1)) - 2*a*b*atan(sqrt(-c*x + 1)/sqrt(c*x + 1)) + b**2*c**2*x**2*atan(sqrt(-c*x + 1)/sqrt(c*x + 1))**2 - b**2*atan(sqrt(-c*x + 1)/sqrt(c*x + 1))**2), x)","F",0
37,1,158,0,2.699720," ","integrate(x**m*atan(tan(b*x+a)),x)","\begin{cases} b \log{\left(x \right)} - \frac{\operatorname{atan}{\left(\tan{\left(a + b x \right)} \right)} + \pi \left\lfloor{\frac{a + b x - \frac{\pi}{2}}{\pi}}\right\rfloor}{x} & \text{for}\: m = -2 \\- b x \log{\left(x \right)} + b x + \left(\operatorname{atan}{\left(\tan{\left(a + b x \right)} \right)} + 2 \pi \left\lfloor{\frac{a + b x - \frac{\pi}{2}}{\pi}}\right\rfloor\right) \log{\left(x \right)} & \text{for}\: m = -1 \\- \frac{b x^{2} x^{m}}{m^{2} + 3 m + 2} + \frac{m x x^{m} \left(\operatorname{atan}{\left(\tan{\left(a + b x \right)} \right)} + \pi \left\lfloor{\frac{a + b x - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{m^{2} + 3 m + 2} + \frac{2 x x^{m} \left(\operatorname{atan}{\left(\tan{\left(a + b x \right)} \right)} + \pi \left\lfloor{\frac{a + b x - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{m^{2} + 3 m + 2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*log(x) - (atan(tan(a + b*x)) + pi*floor((a + b*x - pi/2)/pi))/x, Eq(m, -2)), (-b*x*log(x) + b*x + (atan(tan(a + b*x)) + 2*pi*floor((a + b*x - pi/2)/pi))*log(x), Eq(m, -1)), (-b*x**2*x**m/(m**2 + 3*m + 2) + m*x*x**m*(atan(tan(a + b*x)) + pi*floor((a + b*x - pi/2)/pi))/(m**2 + 3*m + 2) + 2*x*x**m*(atan(tan(a + b*x)) + pi*floor((a + b*x - pi/2)/pi))/(m**2 + 3*m + 2), True))","A",0
38,1,32,0,0.359978," ","integrate(x**2*atan(tan(b*x+a)),x)","- \frac{b x^{4}}{12} + \frac{x^{3} \left(\operatorname{atan}{\left(\tan{\left(a + b x \right)} \right)} + \pi \left\lfloor{\frac{a + b x - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{3}"," ",0,"-b*x**4/12 + x**3*(atan(tan(a + b*x)) + pi*floor((a + b*x - pi/2)/pi))/3","A",0
39,1,32,0,0.199480," ","integrate(x*atan(tan(b*x+a)),x)","- \frac{b x^{3}}{6} + \frac{x^{2} \left(\operatorname{atan}{\left(\tan{\left(a + b x \right)} \right)} + \pi \left\lfloor{\frac{a + b x - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{2}"," ",0,"-b*x**3/6 + x**2*(atan(tan(a + b*x)) + pi*floor((a + b*x - pi/2)/pi))/2","A",0
40,1,42,0,0.142601," ","integrate(atan(tan(b*x+a)),x)","\begin{cases} \frac{\left(\operatorname{atan}{\left(\tan{\left(a + b x \right)} \right)} + \pi \left\lfloor{\frac{a + b x - \frac{\pi}{2}}{\pi}}\right\rfloor\right)^{2}}{2 b} & \text{for}\: b \neq 0 \\x \left(\operatorname{atan}{\left(\tan{\left(a \right)} \right)} + \pi \left\lfloor{\frac{a - \frac{\pi}{2}}{\pi}}\right\rfloor\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((atan(tan(a + b*x)) + pi*floor((a + b*x - pi/2)/pi))**2/(2*b), Ne(b, 0)), (x*(atan(tan(a)) + pi*floor((a - pi/2)/pi)), True))","A",0
41,1,34,0,0.925170," ","integrate(atan(tan(b*x+a))/x,x)","- b x \log{\left(x \right)} + b x + \left(\operatorname{atan}{\left(\tan{\left(a + b x \right)} \right)} + \pi \left\lfloor{\frac{a + b x - \frac{\pi}{2}}{\pi}}\right\rfloor\right) \log{\left(x \right)}"," ",0,"-b*x*log(x) + b*x + (atan(tan(a + b*x)) + pi*floor((a + b*x - pi/2)/pi))*log(x)","A",0
42,1,160,0,6.605530," ","integrate(x**m*(1/2*pi-acot(cot(b*x+a))),x)","\begin{cases} - b \log{\left(x \right)} + \frac{\operatorname{acot}{\left(\cot{\left(a + b x \right)} \right)}}{x} - \frac{\pi}{2 x} & \text{for}\: m = -2 \\b x \log{\left(x \right)} - b x - \log{\left(x \right)} \operatorname{acot}{\left(\cot{\left(a + b x \right)} \right)} + \frac{\pi \log{\left(x \right)}}{2} & \text{for}\: m = -1 \\\frac{2 b x^{2} x^{m}}{2 m^{2} + 6 m + 4} - \frac{2 m x x^{m} \operatorname{acot}{\left(\cot{\left(a + b x \right)} \right)}}{2 m^{2} + 6 m + 4} + \frac{\pi m x x^{m}}{2 m^{2} + 6 m + 4} - \frac{4 x x^{m} \operatorname{acot}{\left(\cot{\left(a + b x \right)} \right)}}{2 m^{2} + 6 m + 4} + \frac{2 \pi x x^{m}}{2 m^{2} + 6 m + 4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-b*log(x) + acot(cot(a + b*x))/x - pi/(2*x), Eq(m, -2)), (b*x*log(x) - b*x - log(x)*acot(cot(a + b*x)) + pi*log(x)/2, Eq(m, -1)), (2*b*x**2*x**m/(2*m**2 + 6*m + 4) - 2*m*x*x**m*acot(cot(a + b*x))/(2*m**2 + 6*m + 4) + pi*m*x*x**m/(2*m**2 + 6*m + 4) - 4*x*x**m*acot(cot(a + b*x))/(2*m**2 + 6*m + 4) + 2*pi*x*x**m/(2*m**2 + 6*m + 4), True))","A",0
43,1,26,0,0.390425," ","integrate(x**2*(1/2*pi-acot(cot(b*x+a))),x)","\frac{b x^{4}}{12} - \frac{x^{3} \operatorname{acot}{\left(\cot{\left(a + b x \right)} \right)}}{3} + \frac{\pi x^{3}}{6}"," ",0,"b*x**4/12 - x**3*acot(cot(a + b*x))/3 + pi*x**3/6","A",0
44,1,49,0,0.303014," ","integrate(x*(1/2*pi-acot(cot(b*x+a))),x)","\begin{cases} \frac{\pi x^{2}}{4} - \frac{x \operatorname{acot}^{2}{\left(\cot{\left(a + b x \right)} \right)}}{2 b} + \frac{\operatorname{acot}^{3}{\left(\cot{\left(a + b x \right)} \right)}}{6 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \left(- \operatorname{acot}{\left(\cot{\left(a \right)} \right)} + \frac{\pi}{2}\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((pi*x**2/4 - x*acot(cot(a + b*x))**2/(2*b) + acot(cot(a + b*x))**3/(6*b**2), Ne(b, 0)), (x**2*(-acot(cot(a)) + pi/2)/2, True))","A",0
45,1,24,0,0.131103," ","integrate(1/2*pi-acot(cot(b*x+a)),x)","\frac{\pi x}{2} - \begin{cases} \frac{\operatorname{acot}^{2}{\left(\cot{\left(a + b x \right)} \right)}}{2 b} & \text{for}\: b \neq 0 \\x \operatorname{acot}{\left(\cot{\left(a \right)} \right)} & \text{otherwise} \end{cases}"," ",0,"pi*x/2 - Piecewise((acot(cot(a + b*x))**2/(2*b), Ne(b, 0)), (x*acot(cot(a)), True))","A",0
46,1,27,0,4.571477," ","integrate((1/2*pi-acot(cot(b*x+a)))/x,x)","b x \log{\left(x \right)} - b x - \log{\left(x \right)} \operatorname{acot}{\left(\cot{\left(a + b x \right)} \right)} + \frac{\pi \log{\left(x \right)}}{2}"," ",0,"b*x*log(x) - b*x - log(x)*acot(cot(a + b*x)) + pi*log(x)/2","A",0
47,1,42,0,0.139643," ","integrate(atan(tan(b*x+a)),x)","\begin{cases} \frac{\left(\operatorname{atan}{\left(\tan{\left(a + b x \right)} \right)} + \pi \left\lfloor{\frac{a + b x - \frac{\pi}{2}}{\pi}}\right\rfloor\right)^{2}}{2 b} & \text{for}\: b \neq 0 \\x \left(\operatorname{atan}{\left(\tan{\left(a \right)} \right)} + \pi \left\lfloor{\frac{a - \frac{\pi}{2}}{\pi}}\right\rfloor\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((atan(tan(a + b*x)) + pi*floor((a + b*x - pi/2)/pi))**2/(2*b), Ne(b, 0)), (x*(atan(tan(a)) + pi*floor((a - pi/2)/pi)), True))","A",0
48,-1,0,0,0.000000," ","integrate(x**2*atan(c+d*tan(b*x+a)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
49,-1,0,0,0.000000," ","integrate(x*atan(c+d*tan(b*x+a)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
50,0,0,0,0.000000," ","integrate(atan(c+d*tan(b*x+a)),x)","\int \operatorname{atan}{\left(c + d \tan{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(atan(c + d*tan(a + b*x)), x)","F",0
51,0,0,0,0.000000," ","integrate(atan(c+d*tan(b*x+a))/x,x)","\int \frac{\operatorname{atan}{\left(c + d \tan{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(atan(c + d*tan(a + b*x))/x, x)","F",0
52,-2,0,0,0.000000," ","integrate(x**2*atan(c+(1+I*c)*tan(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
53,-2,0,0,0.000000," ","integrate(x*atan(c+(1+I*c)*tan(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
54,-2,0,0,0.000000," ","integrate(atan(c+(1+I*c)*tan(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
55,-1,0,0,0.000000," ","integrate(atan(c+(1+I*c)*tan(b*x+a))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,-2,0,0,0.000000," ","integrate(x**2*atan(c+(-1+I*c)*tan(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
57,-2,0,0,0.000000," ","integrate(x*atan(c+(-1+I*c)*tan(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
58,-2,0,0,0.000000," ","integrate(atan(c+(-1+I*c)*tan(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
59,-1,0,0,0.000000," ","integrate(atan(c+(-1+I*c)*tan(b*x+a))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
60,1,24,0,0.142563," ","integrate(1/2*pi-acot(cot(b*x+a)),x)","\frac{\pi x}{2} - \begin{cases} \frac{\operatorname{acot}^{2}{\left(\cot{\left(a + b x \right)} \right)}}{2 b} & \text{for}\: b \neq 0 \\x \operatorname{acot}{\left(\cot{\left(a \right)} \right)} & \text{otherwise} \end{cases}"," ",0,"pi*x/2 - Piecewise((acot(cot(a + b*x))**2/(2*b), Ne(b, 0)), (x*acot(cot(a)), True))","A",0
61,-1,0,0,0.000000," ","integrate(x**2*atan(c+d*cot(b*x+a)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
62,-1,0,0,0.000000," ","integrate(x*atan(c+d*cot(b*x+a)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
63,-1,0,0,0.000000," ","integrate(atan(c+d*cot(b*x+a)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
64,-1,0,0,0.000000," ","integrate(atan(c+d*cot(b*x+a))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
65,-2,0,0,0.000000," ","integrate(-x**2*atan(-c-(1-I*c)*cot(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
66,-2,0,0,0.000000," ","integrate(-x*atan(-c-(1-I*c)*cot(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
67,-2,0,0,0.000000," ","integrate(-atan(-c-(1-I*c)*cot(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
68,-1,0,0,0.000000," ","integrate(-atan(-c-(1-I*c)*cot(b*x+a))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
69,-2,0,0,0.000000," ","integrate(-x**2*atan(-c-(-1-I*c)*cot(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
70,-2,0,0,0.000000," ","integrate(-x*atan(-c-(-1-I*c)*cot(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
71,-2,0,0,0.000000," ","integrate(-atan(-c-(-1-I*c)*cot(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
72,-1,0,0,0.000000," ","integrate(-atan(-c-(-1-I*c)*cot(b*x+a))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
73,0,0,0,0.000000," ","integrate(atan(sinh(x)),x)","\int \operatorname{atan}{\left(\sinh{\left(x \right)} \right)}\, dx"," ",0,"Integral(atan(sinh(x)), x)","F",0
74,0,0,0,0.000000," ","integrate(x*atan(sinh(x)),x)","\int x \operatorname{atan}{\left(\sinh{\left(x \right)} \right)}\, dx"," ",0,"Integral(x*atan(sinh(x)), x)","F",0
75,0,0,0,0.000000," ","integrate(x**2*atan(sinh(x)),x)","\int x^{2} \operatorname{atan}{\left(\sinh{\left(x \right)} \right)}\, dx"," ",0,"Integral(x**2*atan(sinh(x)), x)","F",0
76,0,0,0,0.000000," ","integrate((f*x+e)**3*atan(tanh(b*x+a)),x)","\int \left(e + f x\right)^{3} \operatorname{atan}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)**3*atan(tanh(a + b*x)), x)","F",0
77,0,0,0,0.000000," ","integrate((f*x+e)**2*atan(tanh(b*x+a)),x)","\int \left(e + f x\right)^{2} \operatorname{atan}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)**2*atan(tanh(a + b*x)), x)","F",0
78,0,0,0,0.000000," ","integrate((f*x+e)*atan(tanh(b*x+a)),x)","\int \left(e + f x\right) \operatorname{atan}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)*atan(tanh(a + b*x)), x)","F",0
79,0,0,0,0.000000," ","integrate(atan(tanh(b*x+a)),x)","\int \operatorname{atan}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(atan(tanh(a + b*x)), x)","F",0
80,0,0,0,0.000000," ","integrate(atan(tanh(b*x+a))/(f*x+e),x)","\int \frac{\operatorname{atan}{\left(\tanh{\left(a + b x \right)} \right)}}{e + f x}\, dx"," ",0,"Integral(atan(tanh(a + b*x))/(e + f*x), x)","F",0
81,-1,0,0,0.000000," ","integrate(x**2*atan(c+d*tanh(b*x+a)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,-1,0,0,0.000000," ","integrate(x*atan(c+d*tanh(b*x+a)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
83,0,0,0,0.000000," ","integrate(atan(c+d*tanh(b*x+a)),x)","\int \operatorname{atan}{\left(c + d \tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(atan(c + d*tanh(a + b*x)), x)","F",0
84,-1,0,0,0.000000," ","integrate(atan(c+d*tanh(b*x+a))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
85,-2,0,0,0.000000," ","integrate(x**2*atan(c+(I+c)*tanh(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
86,-2,0,0,0.000000," ","integrate(x*atan(c+(I+c)*tanh(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
87,-2,0,0,0.000000," ","integrate(atan(c+(I+c)*tanh(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
88,-1,0,0,0.000000," ","integrate(atan(c+(I+c)*tanh(b*x+a))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
89,-2,0,0,0.000000," ","integrate(x**2*atan(c-(I-c)*tanh(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
90,-2,0,0,0.000000," ","integrate(x*atan(c-(I-c)*tanh(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
91,-2,0,0,0.000000," ","integrate(atan(c-(I-c)*tanh(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
92,-1,0,0,0.000000," ","integrate(atan(c-(I-c)*tanh(b*x+a))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
93,0,0,0,0.000000," ","integrate((f*x+e)**3*atan(coth(b*x+a)),x)","\int \left(e + f x\right)^{3} \operatorname{atan}{\left(\coth{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)**3*atan(coth(a + b*x)), x)","F",0
94,0,0,0,0.000000," ","integrate((f*x+e)**2*atan(coth(b*x+a)),x)","\int \left(e + f x\right)^{2} \operatorname{atan}{\left(\coth{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)**2*atan(coth(a + b*x)), x)","F",0
95,0,0,0,0.000000," ","integrate((f*x+e)*atan(coth(b*x+a)),x)","\int \left(e + f x\right) \operatorname{atan}{\left(\coth{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)*atan(coth(a + b*x)), x)","F",0
96,0,0,0,0.000000," ","integrate(atan(coth(b*x+a)),x)","\int \operatorname{atan}{\left(\coth{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(atan(coth(a + b*x)), x)","F",0
97,-1,0,0,0.000000," ","integrate(atan(coth(b*x+a))/(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
98,-1,0,0,0.000000," ","integrate(x**2*atan(c+d*coth(b*x+a)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
99,-1,0,0,0.000000," ","integrate(x*atan(c+d*coth(b*x+a)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
100,-1,0,0,0.000000," ","integrate(atan(c+d*coth(b*x+a)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,-1,0,0,0.000000," ","integrate(atan(c+d*coth(b*x+a))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,-2,0,0,0.000000," ","integrate(x**2*atan(c+(I+c)*coth(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
103,-2,0,0,0.000000," ","integrate(x*atan(c+(I+c)*coth(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
104,-2,0,0,0.000000," ","integrate(atan(c+(I+c)*coth(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
105,-1,0,0,0.000000," ","integrate(atan(c+(I+c)*coth(b*x+a))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
106,-2,0,0,0.000000," ","integrate(x**2*atan(c-(I-c)*coth(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
107,-2,0,0,0.000000," ","integrate(x*atan(c-(I-c)*coth(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
108,-2,0,0,0.000000," ","integrate(atan(c-(I-c)*coth(b*x+a)),x)","\text{Exception raised: CoercionFailed}"," ",0,"Exception raised: CoercionFailed","F(-2)",0
109,-1,0,0,0.000000," ","integrate(atan(c-(I-c)*coth(b*x+a))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
110,0,0,0,0.000000," ","integrate(atan(exp(x)),x)","\int \operatorname{atan}{\left(e^{x} \right)}\, dx"," ",0,"Integral(atan(exp(x)), x)","F",0
111,0,0,0,0.000000," ","integrate(x*atan(exp(x)),x)","\int x \operatorname{atan}{\left(e^{x} \right)}\, dx"," ",0,"Integral(x*atan(exp(x)), x)","F",0
112,0,0,0,0.000000," ","integrate(x**2*atan(exp(x)),x)","\int x^{2} \operatorname{atan}{\left(e^{x} \right)}\, dx"," ",0,"Integral(x**2*atan(exp(x)), x)","F",0
113,0,0,0,0.000000," ","integrate(atan(exp(b*x+a)),x)","\int \operatorname{atan}{\left(e^{a + b x} \right)}\, dx"," ",0,"Integral(atan(exp(a + b*x)), x)","F",0
114,0,0,0,0.000000," ","integrate(x*atan(exp(b*x+a)),x)","\int x \operatorname{atan}{\left(e^{a} e^{b x} \right)}\, dx"," ",0,"Integral(x*atan(exp(a)*exp(b*x)), x)","F",0
115,0,0,0,0.000000," ","integrate(x**2*atan(exp(b*x+a)),x)","\int x^{2} \operatorname{atan}{\left(e^{a} e^{b x} \right)}\, dx"," ",0,"Integral(x**2*atan(exp(a)*exp(b*x)), x)","F",0
116,-1,0,0,0.000000," ","integrate(atan(a+b*f**(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
117,-1,0,0,0.000000," ","integrate(x*atan(a+b*f**(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
118,-1,0,0,0.000000," ","integrate(x**2*atan(a+b*f**(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
119,1,19,0,6.360420," ","integrate(atan(exp(x))/exp(x),x)","x - \frac{\log{\left(e^{2 x} + 1 \right)}}{2} - e^{- x} \operatorname{atan}{\left(e^{x} \right)}"," ",0,"x - log(exp(2*x) + 1)/2 - exp(-x)*atan(exp(x))","A",0
120,1,153,0,0.516211," ","integrate(atan(x)/(-1+x)**3,x)","- \frac{2 x^{2} \log{\left(x - 1 \right)}}{8 x^{2} - 16 x + 8} + \frac{x^{2} \log{\left(x^{2} + 1 \right)}}{8 x^{2} - 16 x + 8} + \frac{4 x \log{\left(x - 1 \right)}}{8 x^{2} - 16 x + 8} - \frac{2 x \log{\left(x^{2} + 1 \right)}}{8 x^{2} - 16 x + 8} - \frac{2 x}{8 x^{2} - 16 x + 8} - \frac{2 \log{\left(x - 1 \right)}}{8 x^{2} - 16 x + 8} + \frac{\log{\left(x^{2} + 1 \right)}}{8 x^{2} - 16 x + 8} - \frac{4 \operatorname{atan}{\left(x \right)}}{8 x^{2} - 16 x + 8} + \frac{2}{8 x^{2} - 16 x + 8}"," ",0,"-2*x**2*log(x - 1)/(8*x**2 - 16*x + 8) + x**2*log(x**2 + 1)/(8*x**2 - 16*x + 8) + 4*x*log(x - 1)/(8*x**2 - 16*x + 8) - 2*x*log(x**2 + 1)/(8*x**2 - 16*x + 8) - 2*x/(8*x**2 - 16*x + 8) - 2*log(x - 1)/(8*x**2 - 16*x + 8) + log(x**2 + 1)/(8*x**2 - 16*x + 8) - 4*atan(x)/(8*x**2 - 16*x + 8) + 2/(8*x**2 - 16*x + 8)","B",0
121,1,223,0,0.604103," ","integrate(atan(1+2*x)/(4+3*x)**3,x)","\frac{90 x^{2} \log{\left(x + \frac{4}{3} \right)}}{5202 x^{2} + 13872 x + 9248} - \frac{45 x^{2} \log{\left(2 x^{2} + 2 x + 1 \right)}}{5202 x^{2} + 13872 x + 9248} + \frac{48 x^{2} \operatorname{atan}{\left(2 x + 1 \right)}}{5202 x^{2} + 13872 x + 9248} + \frac{240 x \log{\left(x + \frac{4}{3} \right)}}{5202 x^{2} + 13872 x + 9248} - \frac{120 x \log{\left(2 x^{2} + 2 x + 1 \right)}}{5202 x^{2} + 13872 x + 9248} + \frac{128 x \operatorname{atan}{\left(2 x + 1 \right)}}{5202 x^{2} + 13872 x + 9248} - \frac{51 x}{5202 x^{2} + 13872 x + 9248} + \frac{160 \log{\left(x + \frac{4}{3} \right)}}{5202 x^{2} + 13872 x + 9248} - \frac{80 \log{\left(2 x^{2} + 2 x + 1 \right)}}{5202 x^{2} + 13872 x + 9248} - \frac{11 \operatorname{atan}{\left(2 x + 1 \right)}}{5202 x^{2} + 13872 x + 9248} - \frac{68}{5202 x^{2} + 13872 x + 9248}"," ",0,"90*x**2*log(x + 4/3)/(5202*x**2 + 13872*x + 9248) - 45*x**2*log(2*x**2 + 2*x + 1)/(5202*x**2 + 13872*x + 9248) + 48*x**2*atan(2*x + 1)/(5202*x**2 + 13872*x + 9248) + 240*x*log(x + 4/3)/(5202*x**2 + 13872*x + 9248) - 120*x*log(2*x**2 + 2*x + 1)/(5202*x**2 + 13872*x + 9248) + 128*x*atan(2*x + 1)/(5202*x**2 + 13872*x + 9248) - 51*x/(5202*x**2 + 13872*x + 9248) + 160*log(x + 4/3)/(5202*x**2 + 13872*x + 9248) - 80*log(2*x**2 + 2*x + 1)/(5202*x**2 + 13872*x + 9248) - 11*atan(2*x + 1)/(5202*x**2 + 13872*x + 9248) - 68/(5202*x**2 + 13872*x + 9248)","B",0
122,1,26,0,0.209871," ","integrate(atan((1+x)**(1/2)),x)","x \operatorname{atan}{\left(\sqrt{x + 1} \right)} - \sqrt{x + 1} + 2 \operatorname{atan}{\left(\sqrt{x + 1} \right)}"," ",0,"x*atan(sqrt(x + 1)) - sqrt(x + 1) + 2*atan(sqrt(x + 1))","A",0
123,1,5,0,0.256671," ","integrate(1/(x**2+1)/(2+atan(x)),x)","\log{\left(\operatorname{atan}{\left(x \right)} + 2 \right)}"," ",0,"log(atan(x) + 2)","A",0
124,1,14,0,0.514770," ","integrate(1/(a*x**2+a)/(b-2*b*atan(x)),x)","- \frac{\log{\left(\operatorname{atan}{\left(x \right)} - \frac{1}{2} \right)}}{2 a b}"," ",0,"-log(atan(x) - 1/2)/(2*a*b)","A",0
125,1,53,0,0.622387," ","integrate((x+x**3+(1+x)**2*atan(x))/(1+x)**2/(x**2+1),x)","\frac{2 x \log{\left(x + 1 \right)}}{2 x + 2} + \frac{x \operatorname{atan}^{2}{\left(x \right)}}{2 x + 2} + \frac{2 \log{\left(x + 1 \right)}}{2 x + 2} + \frac{\operatorname{atan}^{2}{\left(x \right)}}{2 x + 2} + \frac{2}{2 x + 2}"," ",0,"2*x*log(x + 1)/(2*x + 2) + x*atan(x)**2/(2*x + 2) + 2*log(x + 1)/(2*x + 2) + atan(x)**2/(2*x + 2) + 2/(2*x + 2)","B",0
126,-1,0,0,0.000000," ","integrate(-x**3*atan(x**(1/2)-(1+x)**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
127,-1,0,0,0.000000," ","integrate(-x**2*atan(x**(1/2)-(1+x)**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
128,1,39,0,161.339460," ","integrate(-x*atan(x**(1/2)-(1+x)**(1/2)),x)","\frac{x^{\frac{3}{2}}}{12} - \frac{\sqrt{x}}{4} - \frac{x^{2} \operatorname{atan}{\left(\sqrt{x} - \sqrt{x + 1} \right)}}{2} + \frac{\operatorname{atan}{\left(\sqrt{x} \right)}}{4}"," ",0,"x**(3/2)/12 - sqrt(x)/4 - x**2*atan(sqrt(x) - sqrt(x + 1))/2 + atan(sqrt(x))/4","A",0
129,1,29,0,73.758572," ","integrate(-atan(x**(1/2)-(1+x)**(1/2)),x)","\frac{\sqrt{x}}{2} - x \operatorname{atan}{\left(\sqrt{x} - \sqrt{x + 1} \right)} - \frac{\operatorname{atan}{\left(\sqrt{x} \right)}}{2}"," ",0,"sqrt(x)/2 - x*atan(sqrt(x) - sqrt(x + 1)) - atan(sqrt(x))/2","A",0
130,-1,0,0,0.000000," ","integrate(-atan(x**(1/2)-(1+x)**(1/2))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,1,537,0,68.659569," ","integrate(-atan(x**(1/2)-(1+x)**(1/2))/x**2,x)","- \frac{2 x^{\frac{5}{2}} \sqrt{x + 1} \operatorname{atan}{\left(\sqrt{x} - \sqrt{x + 1} \right)}}{- 2 x^{\frac{5}{2}} \sqrt{x + 1} - 2 x^{\frac{3}{2}} \sqrt{x + 1} + 2 x^{3} + 2 x^{2}} + \frac{x^{\frac{5}{2}}}{- 2 x^{\frac{5}{2}} \sqrt{x + 1} - 2 x^{\frac{3}{2}} \sqrt{x + 1} + 2 x^{3} + 2 x^{2}} - \frac{4 x^{\frac{3}{2}} \sqrt{x + 1} \operatorname{atan}{\left(\sqrt{x} - \sqrt{x + 1} \right)}}{- 2 x^{\frac{5}{2}} \sqrt{x + 1} - 2 x^{\frac{3}{2}} \sqrt{x + 1} + 2 x^{3} + 2 x^{2}} + \frac{x^{\frac{3}{2}}}{- 2 x^{\frac{5}{2}} \sqrt{x + 1} - 2 x^{\frac{3}{2}} \sqrt{x + 1} + 2 x^{3} + 2 x^{2}} - \frac{2 \sqrt{x} \sqrt{x + 1} \operatorname{atan}{\left(\sqrt{x} - \sqrt{x + 1} \right)}}{- 2 x^{\frac{5}{2}} \sqrt{x + 1} - 2 x^{\frac{3}{2}} \sqrt{x + 1} + 2 x^{3} + 2 x^{2}} + \frac{2 x^{3} \operatorname{atan}{\left(\sqrt{x} - \sqrt{x + 1} \right)}}{- 2 x^{\frac{5}{2}} \sqrt{x + 1} - 2 x^{\frac{3}{2}} \sqrt{x + 1} + 2 x^{3} + 2 x^{2}} - \frac{x^{2} \sqrt{x + 1}}{- 2 x^{\frac{5}{2}} \sqrt{x + 1} - 2 x^{\frac{3}{2}} \sqrt{x + 1} + 2 x^{3} + 2 x^{2}} + \frac{4 x^{2} \operatorname{atan}{\left(\sqrt{x} - \sqrt{x + 1} \right)}}{- 2 x^{\frac{5}{2}} \sqrt{x + 1} - 2 x^{\frac{3}{2}} \sqrt{x + 1} + 2 x^{3} + 2 x^{2}} - \frac{x \sqrt{x + 1}}{- 2 x^{\frac{5}{2}} \sqrt{x + 1} - 2 x^{\frac{3}{2}} \sqrt{x + 1} + 2 x^{3} + 2 x^{2}} + \frac{2 x \operatorname{atan}{\left(\sqrt{x} - \sqrt{x + 1} \right)}}{- 2 x^{\frac{5}{2}} \sqrt{x + 1} - 2 x^{\frac{3}{2}} \sqrt{x + 1} + 2 x^{3} + 2 x^{2}}"," ",0,"-2*x**(5/2)*sqrt(x + 1)*atan(sqrt(x) - sqrt(x + 1))/(-2*x**(5/2)*sqrt(x + 1) - 2*x**(3/2)*sqrt(x + 1) + 2*x**3 + 2*x**2) + x**(5/2)/(-2*x**(5/2)*sqrt(x + 1) - 2*x**(3/2)*sqrt(x + 1) + 2*x**3 + 2*x**2) - 4*x**(3/2)*sqrt(x + 1)*atan(sqrt(x) - sqrt(x + 1))/(-2*x**(5/2)*sqrt(x + 1) - 2*x**(3/2)*sqrt(x + 1) + 2*x**3 + 2*x**2) + x**(3/2)/(-2*x**(5/2)*sqrt(x + 1) - 2*x**(3/2)*sqrt(x + 1) + 2*x**3 + 2*x**2) - 2*sqrt(x)*sqrt(x + 1)*atan(sqrt(x) - sqrt(x + 1))/(-2*x**(5/2)*sqrt(x + 1) - 2*x**(3/2)*sqrt(x + 1) + 2*x**3 + 2*x**2) + 2*x**3*atan(sqrt(x) - sqrt(x + 1))/(-2*x**(5/2)*sqrt(x + 1) - 2*x**(3/2)*sqrt(x + 1) + 2*x**3 + 2*x**2) - x**2*sqrt(x + 1)/(-2*x**(5/2)*sqrt(x + 1) - 2*x**(3/2)*sqrt(x + 1) + 2*x**3 + 2*x**2) + 4*x**2*atan(sqrt(x) - sqrt(x + 1))/(-2*x**(5/2)*sqrt(x + 1) - 2*x**(3/2)*sqrt(x + 1) + 2*x**3 + 2*x**2) - x*sqrt(x + 1)/(-2*x**(5/2)*sqrt(x + 1) - 2*x**(3/2)*sqrt(x + 1) + 2*x**3 + 2*x**2) + 2*x*atan(sqrt(x) - sqrt(x + 1))/(-2*x**(5/2)*sqrt(x + 1) - 2*x**(3/2)*sqrt(x + 1) + 2*x**3 + 2*x**2)","B",0
132,-1,0,0,0.000000," ","integrate(-atan(x**(1/2)-(1+x)**(1/2))/x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,-1,0,0,0.000000," ","integrate(-atan(x**(1/2)-(1+x)**(1/2))/x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
134,0,0,0,0.000000," ","integrate(atan(c*x/(-c**2*x**2+a)**(1/2))**m/(d-c**2*d*x**2/a)**(1/2),x)","\int \frac{\operatorname{atan}^{m}{\left(\frac{c x}{\sqrt{a - c^{2} x^{2}}} \right)}}{\sqrt{- d \left(-1 + \frac{c^{2} x^{2}}{a}\right)}}\, dx"," ",0,"Integral(atan(c*x/sqrt(a - c**2*x**2))**m/sqrt(-d*(-1 + c**2*x**2/a)), x)","F",0
135,0,0,0,0.000000," ","integrate(atan(c*x/(-c**2*x**2+a)**(1/2))**2/(d-c**2*d*x**2/a)**(1/2),x)","\int \frac{\operatorname{atan}^{2}{\left(\frac{c x}{\sqrt{a - c^{2} x^{2}}} \right)}}{\sqrt{- d \left(-1 + \frac{c^{2} x^{2}}{a}\right)}}\, dx"," ",0,"Integral(atan(c*x/sqrt(a - c**2*x**2))**2/sqrt(-d*(-1 + c**2*x**2/a)), x)","F",0
136,0,0,0,0.000000," ","integrate(atan(c*x/(-c**2*x**2+a)**(1/2))/(d-c**2*d*x**2/a)**(1/2),x)","\int \frac{\operatorname{atan}{\left(\frac{c x}{\sqrt{a - c^{2} x^{2}}} \right)}}{\sqrt{- d \left(-1 + \frac{c^{2} x^{2}}{a}\right)}}\, dx"," ",0,"Integral(atan(c*x/sqrt(a - c**2*x**2))/sqrt(-d*(-1 + c**2*x**2/a)), x)","F",0
137,0,0,0,0.000000," ","integrate(1/atan(c*x/(-c**2*x**2+a)**(1/2))/(d-c**2*d*x**2/a)**(1/2),x)","\int \frac{1}{\sqrt{- d \left(-1 + \frac{c^{2} x^{2}}{a}\right)} \operatorname{atan}{\left(\frac{c x}{\sqrt{a - c^{2} x^{2}}} \right)}}\, dx"," ",0,"Integral(1/(sqrt(-d*(-1 + c**2*x**2/a))*atan(c*x/sqrt(a - c**2*x**2))), x)","F",0
138,0,0,0,0.000000," ","integrate(1/atan(c*x/(-c**2*x**2+a)**(1/2))**2/(d-c**2*d*x**2/a)**(1/2),x)","\int \frac{1}{\sqrt{- d \left(-1 + \frac{c^{2} x^{2}}{a}\right)} \operatorname{atan}^{2}{\left(\frac{c x}{\sqrt{a - c^{2} x^{2}}} \right)}}\, dx"," ",0,"Integral(1/(sqrt(-d*(-1 + c**2*x**2/a))*atan(c*x/sqrt(a - c**2*x**2))**2), x)","F",0
139,0,0,0,0.000000," ","integrate(1/atan(c*x/(-c**2*x**2+a)**(1/2))**3/(d-c**2*d*x**2/a)**(1/2),x)","\int \frac{1}{\sqrt{- d \left(-1 + \frac{c^{2} x^{2}}{a}\right)} \operatorname{atan}^{3}{\left(\frac{c x}{\sqrt{a - c^{2} x^{2}}} \right)}}\, dx"," ",0,"Integral(1/(sqrt(-d*(-1 + c**2*x**2/a))*atan(c*x/sqrt(a - c**2*x**2))**3), x)","F",0
140,0,0,0,0.000000," ","integrate(atan(e*x/(-a*e**2/b-e**2*x**2)**(1/2))**m/(b*x**2+a)**(1/2),x)","\int \frac{\operatorname{atan}^{m}{\left(\frac{e x}{\sqrt{- \frac{a e^{2}}{b} - e^{2} x^{2}}} \right)}}{\sqrt{a + b x^{2}}}\, dx"," ",0,"Integral(atan(e*x/sqrt(-a*e**2/b - e**2*x**2))**m/sqrt(a + b*x**2), x)","F",0
141,0,0,0,0.000000," ","integrate(atan(e*x/(-a*e**2/b-e**2*x**2)**(1/2))**2/(b*x**2+a)**(1/2),x)","\int \frac{\operatorname{atan}^{2}{\left(\frac{e x}{\sqrt{- \frac{a e^{2}}{b} - e^{2} x^{2}}} \right)}}{\sqrt{a + b x^{2}}}\, dx"," ",0,"Integral(atan(e*x/sqrt(-a*e**2/b - e**2*x**2))**2/sqrt(a + b*x**2), x)","F",0
142,0,0,0,0.000000," ","integrate(atan(e*x/(-a*e**2/b-e**2*x**2)**(1/2))/(b*x**2+a)**(1/2),x)","\int \frac{\operatorname{atan}{\left(\frac{e x}{\sqrt{- \frac{a e^{2}}{b} - e^{2} x^{2}}} \right)}}{\sqrt{a + b x^{2}}}\, dx"," ",0,"Integral(atan(e*x/sqrt(-a*e**2/b - e**2*x**2))/sqrt(a + b*x**2), x)","F",0
143,0,0,0,0.000000," ","integrate(1/atan(e*x/(-a*e**2/b-e**2*x**2)**(1/2))/(b*x**2+a)**(1/2),x)","\int \frac{1}{\sqrt{a + b x^{2}} \operatorname{atan}{\left(\frac{e x}{\sqrt{- \frac{a e^{2}}{b} - e^{2} x^{2}}} \right)}}\, dx"," ",0,"Integral(1/(sqrt(a + b*x**2)*atan(e*x/sqrt(-a*e**2/b - e**2*x**2))), x)","F",0
144,0,0,0,0.000000," ","integrate(1/atan(e*x/(-a*e**2/b-e**2*x**2)**(1/2))**2/(b*x**2+a)**(1/2),x)","\int \frac{1}{\sqrt{a + b x^{2}} \operatorname{atan}^{2}{\left(\frac{e x}{\sqrt{- \frac{a e^{2}}{b} - e^{2} x^{2}}} \right)}}\, dx"," ",0,"Integral(1/(sqrt(a + b*x**2)*atan(e*x/sqrt(-a*e**2/b - e**2*x**2))**2), x)","F",0
145,0,0,0,0.000000," ","integrate(1/atan(e*x/(-a*e**2/b-e**2*x**2)**(1/2))**3/(b*x**2+a)**(1/2),x)","\int \frac{1}{\sqrt{a + b x^{2}} \operatorname{atan}^{3}{\left(\frac{e x}{\sqrt{- \frac{a e^{2}}{b} - e^{2} x^{2}}} \right)}}\, dx"," ",0,"Integral(1/(sqrt(a + b*x**2)*atan(e*x/sqrt(-a*e**2/b - e**2*x**2))**3), x)","F",0
146,0,0,0,0.000000," ","integrate(atan(c*(b*x+a))*ln(d*(b*x+a))/(b*x+a),x)","\int \frac{\log{\left(a d + b d x \right)} \operatorname{atan}{\left(a c + b c x \right)}}{a + b x}\, dx"," ",0,"Integral(log(a*d + b*d*x)*atan(a*c + b*c*x)/(a + b*x), x)","F",0
147,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*atan(sinh(b*c*x+a*c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
148,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*atan(cosh(b*c*x+a*c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
149,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*atan(tanh(b*c*x+a*c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
150,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*atan(coth(b*c*x+a*c)),x)","e^{a c} \int e^{b c x} \operatorname{atan}{\left(\coth{\left(a c + b c x \right)} \right)}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)*atan(coth(a*c + b*c*x)), x)","F",0
151,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*atan(sech(b*c*x+a*c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
152,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*atan(csch(b*c*x+a*c)),x)","e^{a c} \int e^{b c x} \operatorname{atan}{\left(\operatorname{csch}{\left(a c + b c x \right)} \right)}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)*atan(csch(a*c + b*c*x)), x)","F",0
153,-1,0,0,0.000000," ","integrate((a+b*atan(c*x**n))*(d+e*ln(f*x**m))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
