1,1,552,0,56.838002," ","integrate((A+B*cos(x))/(a+b*sin(x)),x)","\begin{cases} \tilde{\infty} \left(A \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} - B \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} + B \log{\left(\tan{\left(\frac{x}{2} \right)} \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{A \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} - B \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} + B \log{\left(\tan{\left(\frac{x}{2} \right)} \right)}}{b} & \text{for}\: a = 0 \\\frac{2 A}{b \tan{\left(\frac{x}{2} \right)} - b} + \frac{2 B \log{\left(\tan{\left(\frac{x}{2} \right)} - 1 \right)} \tan{\left(\frac{x}{2} \right)}}{b \tan{\left(\frac{x}{2} \right)} - b} - \frac{2 B \log{\left(\tan{\left(\frac{x}{2} \right)} - 1 \right)}}{b \tan{\left(\frac{x}{2} \right)} - b} - \frac{B \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} \tan{\left(\frac{x}{2} \right)}}{b \tan{\left(\frac{x}{2} \right)} - b} + \frac{B \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{b \tan{\left(\frac{x}{2} \right)} - b} & \text{for}\: a = - b \\- \frac{2 A}{b \tan{\left(\frac{x}{2} \right)} + b} + \frac{2 B \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)} \tan{\left(\frac{x}{2} \right)}}{b \tan{\left(\frac{x}{2} \right)} + b} + \frac{2 B \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)}}{b \tan{\left(\frac{x}{2} \right)} + b} - \frac{B \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} \tan{\left(\frac{x}{2} \right)}}{b \tan{\left(\frac{x}{2} \right)} + b} - \frac{B \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{b \tan{\left(\frac{x}{2} \right)} + b} & \text{for}\: a = b \\\frac{A x + B \sin{\left(x \right)}}{a} & \text{for}\: b = 0 \\- \frac{A b \sqrt{- a^{2} + b^{2}} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{b}{a} - \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} + \frac{A b \sqrt{- a^{2} + b^{2}} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{b}{a} + \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} - \frac{B a^{2} \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{a^{2} b - b^{3}} + \frac{B a^{2} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{b}{a} - \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} + \frac{B a^{2} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{b}{a} + \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} + \frac{B b^{2} \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{a^{2} b - b^{3}} - \frac{B b^{2} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{b}{a} - \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} - \frac{B b^{2} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{b}{a} + \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(A*log(tan(x/2)) - B*log(tan(x/2)**2 + 1) + B*log(tan(x/2))), Eq(a, 0) & Eq(b, 0)), ((A*log(tan(x/2)) - B*log(tan(x/2)**2 + 1) + B*log(tan(x/2)))/b, Eq(a, 0)), (2*A/(b*tan(x/2) - b) + 2*B*log(tan(x/2) - 1)*tan(x/2)/(b*tan(x/2) - b) - 2*B*log(tan(x/2) - 1)/(b*tan(x/2) - b) - B*log(tan(x/2)**2 + 1)*tan(x/2)/(b*tan(x/2) - b) + B*log(tan(x/2)**2 + 1)/(b*tan(x/2) - b), Eq(a, -b)), (-2*A/(b*tan(x/2) + b) + 2*B*log(tan(x/2) + 1)*tan(x/2)/(b*tan(x/2) + b) + 2*B*log(tan(x/2) + 1)/(b*tan(x/2) + b) - B*log(tan(x/2)**2 + 1)*tan(x/2)/(b*tan(x/2) + b) - B*log(tan(x/2)**2 + 1)/(b*tan(x/2) + b), Eq(a, b)), ((A*x + B*sin(x))/a, Eq(b, 0)), (-A*b*sqrt(-a**2 + b**2)*log(tan(x/2) + b/a - sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) + A*b*sqrt(-a**2 + b**2)*log(tan(x/2) + b/a + sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) - B*a**2*log(tan(x/2)**2 + 1)/(a**2*b - b**3) + B*a**2*log(tan(x/2) + b/a - sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) + B*a**2*log(tan(x/2) + b/a + sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) + B*b**2*log(tan(x/2)**2 + 1)/(a**2*b - b**3) - B*b**2*log(tan(x/2) + b/a - sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) - B*b**2*log(tan(x/2) + b/a + sqrt(-a**2 + b**2)/a)/(a**2*b - b**3), True))","A",0
2,1,94,0,1.050305," ","integrate((A+B*cos(x))/(1+sin(x)),x)","- \frac{2 A}{\tan{\left(\frac{x}{2} \right)} + 1} + \frac{2 B \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)} \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} + 1} + \frac{2 B \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)}}{\tan{\left(\frac{x}{2} \right)} + 1} - \frac{B \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} + 1} - \frac{B \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{\tan{\left(\frac{x}{2} \right)} + 1}"," ",0,"-2*A/(tan(x/2) + 1) + 2*B*log(tan(x/2) + 1)*tan(x/2)/(tan(x/2) + 1) + 2*B*log(tan(x/2) + 1)/(tan(x/2) + 1) - B*log(tan(x/2)**2 + 1)*tan(x/2)/(tan(x/2) + 1) - B*log(tan(x/2)**2 + 1)/(tan(x/2) + 1)","B",0
3,1,94,0,1.056805," ","integrate((A+B*cos(x))/(1-sin(x)),x)","- \frac{2 A}{\tan{\left(\frac{x}{2} \right)} - 1} - \frac{2 B \log{\left(\tan{\left(\frac{x}{2} \right)} - 1 \right)} \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} - 1} + \frac{2 B \log{\left(\tan{\left(\frac{x}{2} \right)} - 1 \right)}}{\tan{\left(\frac{x}{2} \right)} - 1} + \frac{B \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} - 1} - \frac{B \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{\tan{\left(\frac{x}{2} \right)} - 1}"," ",0,"-2*A/(tan(x/2) - 1) - 2*B*log(tan(x/2) - 1)*tan(x/2)/(tan(x/2) - 1) + 2*B*log(tan(x/2) - 1)/(tan(x/2) - 1) + B*log(tan(x/2)**2 + 1)*tan(x/2)/(tan(x/2) - 1) - B*log(tan(x/2)**2 + 1)/(tan(x/2) - 1)","B",0
4,1,641,0,61.419855," ","integrate((b+c+cos(x))/(a+b*sin(x)),x)","\begin{cases} \tilde{\infty} \left(c \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} - \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} + \log{\left(\tan{\left(\frac{x}{2} \right)} \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{b \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} + c \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} - \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} + \log{\left(\tan{\left(\frac{x}{2} \right)} \right)}}{b} & \text{for}\: a = 0 \\\frac{2 b}{b \tan{\left(\frac{x}{2} \right)} - b} + \frac{2 c}{b \tan{\left(\frac{x}{2} \right)} - b} + \frac{2 \log{\left(\tan{\left(\frac{x}{2} \right)} - 1 \right)} \tan{\left(\frac{x}{2} \right)}}{b \tan{\left(\frac{x}{2} \right)} - b} - \frac{2 \log{\left(\tan{\left(\frac{x}{2} \right)} - 1 \right)}}{b \tan{\left(\frac{x}{2} \right)} - b} - \frac{\log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} \tan{\left(\frac{x}{2} \right)}}{b \tan{\left(\frac{x}{2} \right)} - b} + \frac{\log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{b \tan{\left(\frac{x}{2} \right)} - b} & \text{for}\: a = - b \\- \frac{2 b}{b \tan{\left(\frac{x}{2} \right)} + b} - \frac{2 c}{b \tan{\left(\frac{x}{2} \right)} + b} + \frac{2 \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)} \tan{\left(\frac{x}{2} \right)}}{b \tan{\left(\frac{x}{2} \right)} + b} + \frac{2 \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)}}{b \tan{\left(\frac{x}{2} \right)} + b} - \frac{\log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} \tan{\left(\frac{x}{2} \right)}}{b \tan{\left(\frac{x}{2} \right)} + b} - \frac{\log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{b \tan{\left(\frac{x}{2} \right)} + b} & \text{for}\: a = b \\\frac{c x + \sin{\left(x \right)}}{a} & \text{for}\: b = 0 \\- \frac{a^{2} \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{a^{2} b - b^{3}} + \frac{a^{2} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{b}{a} - \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} + \frac{a^{2} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{b}{a} + \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} - \frac{b^{2} \sqrt{- a^{2} + b^{2}} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{b}{a} - \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} + \frac{b^{2} \sqrt{- a^{2} + b^{2}} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{b}{a} + \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} + \frac{b^{2} \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{a^{2} b - b^{3}} - \frac{b^{2} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{b}{a} - \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} - \frac{b^{2} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{b}{a} + \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} - \frac{b c \sqrt{- a^{2} + b^{2}} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{b}{a} - \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} + \frac{b c \sqrt{- a^{2} + b^{2}} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{b}{a} + \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(c*log(tan(x/2)) - log(tan(x/2)**2 + 1) + log(tan(x/2))), Eq(a, 0) & Eq(b, 0)), ((b*log(tan(x/2)) + c*log(tan(x/2)) - log(tan(x/2)**2 + 1) + log(tan(x/2)))/b, Eq(a, 0)), (2*b/(b*tan(x/2) - b) + 2*c/(b*tan(x/2) - b) + 2*log(tan(x/2) - 1)*tan(x/2)/(b*tan(x/2) - b) - 2*log(tan(x/2) - 1)/(b*tan(x/2) - b) - log(tan(x/2)**2 + 1)*tan(x/2)/(b*tan(x/2) - b) + log(tan(x/2)**2 + 1)/(b*tan(x/2) - b), Eq(a, -b)), (-2*b/(b*tan(x/2) + b) - 2*c/(b*tan(x/2) + b) + 2*log(tan(x/2) + 1)*tan(x/2)/(b*tan(x/2) + b) + 2*log(tan(x/2) + 1)/(b*tan(x/2) + b) - log(tan(x/2)**2 + 1)*tan(x/2)/(b*tan(x/2) + b) - log(tan(x/2)**2 + 1)/(b*tan(x/2) + b), Eq(a, b)), ((c*x + sin(x))/a, Eq(b, 0)), (-a**2*log(tan(x/2)**2 + 1)/(a**2*b - b**3) + a**2*log(tan(x/2) + b/a - sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) + a**2*log(tan(x/2) + b/a + sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) - b**2*sqrt(-a**2 + b**2)*log(tan(x/2) + b/a - sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) + b**2*sqrt(-a**2 + b**2)*log(tan(x/2) + b/a + sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) + b**2*log(tan(x/2)**2 + 1)/(a**2*b - b**3) - b**2*log(tan(x/2) + b/a - sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) - b**2*log(tan(x/2) + b/a + sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) - b*c*sqrt(-a**2 + b**2)*log(tan(x/2) + b/a - sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) + b*c*sqrt(-a**2 + b**2)*log(tan(x/2) + b/a + sqrt(-a**2 + b**2)/a)/(a**2*b - b**3), True))","A",0
5,1,643,0,61.227447," ","integrate((b+c+cos(x))/(a-b*sin(x)),x)","\begin{cases} \tilde{\infty} \left(c \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} - \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} + \log{\left(\tan{\left(\frac{x}{2} \right)} \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{2 b}{b \tan{\left(\frac{x}{2} \right)} + b} + \frac{2 c}{b \tan{\left(\frac{x}{2} \right)} + b} - \frac{2 \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)} \tan{\left(\frac{x}{2} \right)}}{b \tan{\left(\frac{x}{2} \right)} + b} - \frac{2 \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)}}{b \tan{\left(\frac{x}{2} \right)} + b} + \frac{\log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} \tan{\left(\frac{x}{2} \right)}}{b \tan{\left(\frac{x}{2} \right)} + b} + \frac{\log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{b \tan{\left(\frac{x}{2} \right)} + b} & \text{for}\: a = - b \\- \frac{2 b}{b \tan{\left(\frac{x}{2} \right)} - b} - \frac{2 c}{b \tan{\left(\frac{x}{2} \right)} - b} - \frac{2 \log{\left(\tan{\left(\frac{x}{2} \right)} - 1 \right)} \tan{\left(\frac{x}{2} \right)}}{b \tan{\left(\frac{x}{2} \right)} - b} + \frac{2 \log{\left(\tan{\left(\frac{x}{2} \right)} - 1 \right)}}{b \tan{\left(\frac{x}{2} \right)} - b} + \frac{\log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} \tan{\left(\frac{x}{2} \right)}}{b \tan{\left(\frac{x}{2} \right)} - b} - \frac{\log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{b \tan{\left(\frac{x}{2} \right)} - b} & \text{for}\: a = b \\\frac{c x + \sin{\left(x \right)}}{a} & \text{for}\: b = 0 \\- \frac{b \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} + c \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} - \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} + \log{\left(\tan{\left(\frac{x}{2} \right)} \right)}}{b} & \text{for}\: a = 0 \\\frac{a^{2} \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{a^{2} b - b^{3}} - \frac{a^{2} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} - \frac{a^{2} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} - \frac{b^{2} \sqrt{- a^{2} + b^{2}} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} + \frac{b^{2} \sqrt{- a^{2} + b^{2}} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} - \frac{b^{2} \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{a^{2} b - b^{3}} + \frac{b^{2} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} + \frac{b^{2} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} - \frac{b c \sqrt{- a^{2} + b^{2}} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} + \frac{b c \sqrt{- a^{2} + b^{2}} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{a^{2} b - b^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(c*log(tan(x/2)) - log(tan(x/2)**2 + 1) + log(tan(x/2))), Eq(a, 0) & Eq(b, 0)), (2*b/(b*tan(x/2) + b) + 2*c/(b*tan(x/2) + b) - 2*log(tan(x/2) + 1)*tan(x/2)/(b*tan(x/2) + b) - 2*log(tan(x/2) + 1)/(b*tan(x/2) + b) + log(tan(x/2)**2 + 1)*tan(x/2)/(b*tan(x/2) + b) + log(tan(x/2)**2 + 1)/(b*tan(x/2) + b), Eq(a, -b)), (-2*b/(b*tan(x/2) - b) - 2*c/(b*tan(x/2) - b) - 2*log(tan(x/2) - 1)*tan(x/2)/(b*tan(x/2) - b) + 2*log(tan(x/2) - 1)/(b*tan(x/2) - b) + log(tan(x/2)**2 + 1)*tan(x/2)/(b*tan(x/2) - b) - log(tan(x/2)**2 + 1)/(b*tan(x/2) - b), Eq(a, b)), ((c*x + sin(x))/a, Eq(b, 0)), (-(b*log(tan(x/2)) + c*log(tan(x/2)) - log(tan(x/2)**2 + 1) + log(tan(x/2)))/b, Eq(a, 0)), (a**2*log(tan(x/2)**2 + 1)/(a**2*b - b**3) - a**2*log(tan(x/2) - b/a - sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) - a**2*log(tan(x/2) - b/a + sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) - b**2*sqrt(-a**2 + b**2)*log(tan(x/2) - b/a - sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) + b**2*sqrt(-a**2 + b**2)*log(tan(x/2) - b/a + sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) - b**2*log(tan(x/2)**2 + 1)/(a**2*b - b**3) + b**2*log(tan(x/2) - b/a - sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) + b**2*log(tan(x/2) - b/a + sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) - b*c*sqrt(-a**2 + b**2)*log(tan(x/2) - b/a - sqrt(-a**2 + b**2)/a)/(a**2*b - b**3) + b*c*sqrt(-a**2 + b**2)*log(tan(x/2) - b/a + sqrt(-a**2 + b**2)/a)/(a**2*b - b**3), True))","A",0
6,0,0,0,0.000000," ","integrate((A+B*tan(x))/(a+b*sin(x)),x)","\int \frac{A + B \tan{\left(x \right)}}{a + b \sin{\left(x \right)}}\, dx"," ",0,"Integral((A + B*tan(x))/(a + b*sin(x)), x)","F",0
7,0,0,0,0.000000," ","integrate((A+B*cot(x))/(a+b*sin(x)),x)","\int \frac{A + B \cot{\left(x \right)}}{a + b \sin{\left(x \right)}}\, dx"," ",0,"Integral((A + B*cot(x))/(a + b*sin(x)), x)","F",0
8,0,0,0,0.000000," ","integrate((A+B*sec(x))/(a+b*sin(x)),x)","\int \frac{A + B \sec{\left(x \right)}}{a + b \sin{\left(x \right)}}\, dx"," ",0,"Integral((A + B*sec(x))/(a + b*sin(x)), x)","F",0
9,0,0,0,0.000000," ","integrate((A+B*csc(x))/(a+b*sin(x)),x)","\int \frac{A + B \csc{\left(x \right)}}{a + b \sin{\left(x \right)}}\, dx"," ",0,"Integral((A + B*csc(x))/(a + b*sin(x)), x)","F",0
