1,1,469,189,1.438342,"\text{Not used}","int((A + B*x^2)*(e*x)^m*(a + b*x^2)^3*(c + d*x^2),x)","\frac{a^2\,x^3\,{\left(e\,x\right)}^m\,\left(A\,a\,d+3\,A\,b\,c+B\,a\,c\right)\,\left(m^5+33\,m^4+406\,m^3+2262\,m^2+5353\,m+3465\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{b^2\,x^9\,{\left(e\,x\right)}^m\,\left(A\,b\,d+3\,B\,a\,d+B\,b\,c\right)\,\left(m^5+27\,m^4+262\,m^3+1122\,m^2+2041\,m+1155\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{a\,x^5\,{\left(e\,x\right)}^m\,\left(3\,A\,b^2\,c+B\,a^2\,d+3\,A\,a\,b\,d+3\,B\,a\,b\,c\right)\,\left(m^5+31\,m^4+350\,m^3+1730\,m^2+3489\,m+2079\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{b\,x^7\,{\left(e\,x\right)}^m\,\left(A\,b^2\,c+3\,B\,a^2\,d+3\,A\,a\,b\,d+3\,B\,a\,b\,c\right)\,\left(m^5+29\,m^4+302\,m^3+1366\,m^2+2577\,m+1485\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{B\,b^3\,d\,x^{11}\,{\left(e\,x\right)}^m\,\left(m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{A\,a^3\,c\,x\,{\left(e\,x\right)}^m\,\left(m^5+35\,m^4+470\,m^3+3010\,m^2+9129\,m+10395\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}","Not used",1,"(a^2*x^3*(e*x)^m*(A*a*d + 3*A*b*c + B*a*c)*(5353*m + 2262*m^2 + 406*m^3 + 33*m^4 + m^5 + 3465))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (b^2*x^9*(e*x)^m*(A*b*d + 3*B*a*d + B*b*c)*(2041*m + 1122*m^2 + 262*m^3 + 27*m^4 + m^5 + 1155))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (a*x^5*(e*x)^m*(3*A*b^2*c + B*a^2*d + 3*A*a*b*d + 3*B*a*b*c)*(3489*m + 1730*m^2 + 350*m^3 + 31*m^4 + m^5 + 2079))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (b*x^7*(e*x)^m*(A*b^2*c + 3*B*a^2*d + 3*A*a*b*d + 3*B*a*b*c)*(2577*m + 1366*m^2 + 302*m^3 + 29*m^4 + m^5 + 1485))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (B*b^3*d*x^11*(e*x)^m*(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (A*a^3*c*x*(e*x)^m*(9129*m + 3010*m^2 + 470*m^3 + 35*m^4 + m^5 + 10395))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395)","B"
2,1,305,144,1.196540,"\text{Not used}","int((A + B*x^2)*(e*x)^m*(a + b*x^2)^2*(c + d*x^2),x)","{\left(e\,x\right)}^m\,\left(\frac{x^5\,\left(A\,b^2\,c+B\,a^2\,d+2\,A\,a\,b\,d+2\,B\,a\,b\,c\right)\,\left(m^4+20\,m^3+130\,m^2+300\,m+189\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{a\,x^3\,\left(A\,a\,d+2\,A\,b\,c+B\,a\,c\right)\,\left(m^4+22\,m^3+164\,m^2+458\,m+315\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{b\,x^7\,\left(A\,b\,d+2\,B\,a\,d+B\,b\,c\right)\,\left(m^4+18\,m^3+104\,m^2+222\,m+135\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{A\,a^2\,c\,x\,\left(m^4+24\,m^3+206\,m^2+744\,m+945\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{B\,b^2\,d\,x^9\,\left(m^4+16\,m^3+86\,m^2+176\,m+105\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}\right)","Not used",1,"(e*x)^m*((x^5*(A*b^2*c + B*a^2*d + 2*A*a*b*d + 2*B*a*b*c)*(300*m + 130*m^2 + 20*m^3 + m^4 + 189))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (a*x^3*(A*a*d + 2*A*b*c + B*a*c)*(458*m + 164*m^2 + 22*m^3 + m^4 + 315))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (b*x^7*(A*b*d + 2*B*a*d + B*b*c)*(222*m + 104*m^2 + 18*m^3 + m^4 + 135))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (A*a^2*c*x*(744*m + 206*m^2 + 24*m^3 + m^4 + 945))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (B*b^2*d*x^9*(176*m + 86*m^2 + 16*m^3 + m^4 + 105))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945))","B"
3,1,185,97,1.027777,"\text{Not used}","int((A + B*x^2)*(e*x)^m*(a + b*x^2)*(c + d*x^2),x)","{\left(e\,x\right)}^m\,\left(\frac{x^3\,\left(A\,a\,d+A\,b\,c+B\,a\,c\right)\,\left(m^3+13\,m^2+47\,m+35\right)}{m^4+16\,m^3+86\,m^2+176\,m+105}+\frac{x^5\,\left(A\,b\,d+B\,a\,d+B\,b\,c\right)\,\left(m^3+11\,m^2+31\,m+21\right)}{m^4+16\,m^3+86\,m^2+176\,m+105}+\frac{B\,b\,d\,x^7\,\left(m^3+9\,m^2+23\,m+15\right)}{m^4+16\,m^3+86\,m^2+176\,m+105}+\frac{A\,a\,c\,x\,\left(m^3+15\,m^2+71\,m+105\right)}{m^4+16\,m^3+86\,m^2+176\,m+105}\right)","Not used",1,"(e*x)^m*((x^3*(A*a*d + A*b*c + B*a*c)*(47*m + 13*m^2 + m^3 + 35))/(176*m + 86*m^2 + 16*m^3 + m^4 + 105) + (x^5*(A*b*d + B*a*d + B*b*c)*(31*m + 11*m^2 + m^3 + 21))/(176*m + 86*m^2 + 16*m^3 + m^4 + 105) + (B*b*d*x^7*(23*m + 9*m^2 + m^3 + 15))/(176*m + 86*m^2 + 16*m^3 + m^4 + 105) + (A*a*c*x*(71*m + 15*m^2 + m^3 + 105))/(176*m + 86*m^2 + 16*m^3 + m^4 + 105))","B"
4,1,97,60,0.955678,"\text{Not used}","int((A + B*x^2)*(e*x)^m*(c + d*x^2),x)","{\left(e\,x\right)}^m\,\left(\frac{x^3\,\left(A\,d+B\,c\right)\,\left(m^2+6\,m+5\right)}{m^3+9\,m^2+23\,m+15}+\frac{B\,d\,x^5\,\left(m^2+4\,m+3\right)}{m^3+9\,m^2+23\,m+15}+\frac{A\,c\,x\,\left(m^2+8\,m+15\right)}{m^3+9\,m^2+23\,m+15}\right)","Not used",1,"(e*x)^m*((x^3*(A*d + B*c)*(6*m + m^2 + 5))/(23*m + 9*m^2 + m^3 + 15) + (B*d*x^5*(4*m + m^2 + 3))/(23*m + 9*m^2 + m^3 + 15) + (A*c*x*(8*m + m^2 + 15))/(23*m + 9*m^2 + m^3 + 15))","B"
5,0,-1,118,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(c + d*x^2))/(a + b*x^2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,\left(d\,x^2+c\right)}{b\,x^2+a} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(c + d*x^2))/(a + b*x^2), x)","F"
6,0,-1,171,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(c + d*x^2))/(a + b*x^2)^2,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,\left(d\,x^2+c\right)}{{\left(b\,x^2+a\right)}^2} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(c + d*x^2))/(a + b*x^2)^2, x)","F"
7,0,-1,209,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(c + d*x^2))/(a + b*x^2)^3,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,\left(d\,x^2+c\right)}{{\left(b\,x^2+a\right)}^3} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(c + d*x^2))/(a + b*x^2)^3, x)","F"
8,1,694,292,1.740584,"\text{Not used}","int((A + B*x^2)*(e*x)^m*(a + b*x^2)^3*(c + d*x^2)^2,x)","\frac{x^7\,{\left(e\,x\right)}^m\,\left(B\,a^3\,d^2+6\,B\,a^2\,b\,c\,d+3\,A\,a^2\,b\,d^2+3\,B\,a\,b^2\,c^2+6\,A\,a\,b^2\,c\,d+A\,b^3\,c^2\right)\,\left(m^6+42\,m^5+679\,m^4+5292\,m^3+20335\,m^2+34986\,m+19305\right)}{m^7+49\,m^6+973\,m^5+10045\,m^4+57379\,m^3+177331\,m^2+264207\,m+135135}+\frac{a\,x^5\,{\left(e\,x\right)}^m\,\left(2\,B\,a^2\,c\,d+A\,a^2\,d^2+3\,B\,a\,b\,c^2+6\,A\,a\,b\,c\,d+3\,A\,b^2\,c^2\right)\,\left(m^6+44\,m^5+753\,m^4+6280\,m^3+25979\,m^2+47436\,m+27027\right)}{m^7+49\,m^6+973\,m^5+10045\,m^4+57379\,m^3+177331\,m^2+264207\,m+135135}+\frac{b\,x^9\,{\left(e\,x\right)}^m\,\left(3\,B\,a^2\,d^2+6\,B\,a\,b\,c\,d+3\,A\,a\,b\,d^2+B\,b^2\,c^2+2\,A\,b^2\,c\,d\right)\,\left(m^6+40\,m^5+613\,m^4+4528\,m^3+16627\,m^2+27688\,m+15015\right)}{m^7+49\,m^6+973\,m^5+10045\,m^4+57379\,m^3+177331\,m^2+264207\,m+135135}+\frac{A\,a^3\,c^2\,x\,{\left(e\,x\right)}^m\,\left(m^6+48\,m^5+925\,m^4+9120\,m^3+48259\,m^2+129072\,m+135135\right)}{m^7+49\,m^6+973\,m^5+10045\,m^4+57379\,m^3+177331\,m^2+264207\,m+135135}+\frac{a^2\,c\,x^3\,{\left(e\,x\right)}^m\,\left(2\,A\,a\,d+3\,A\,b\,c+B\,a\,c\right)\,\left(m^6+46\,m^5+835\,m^4+7540\,m^3+34759\,m^2+73054\,m+45045\right)}{m^7+49\,m^6+973\,m^5+10045\,m^4+57379\,m^3+177331\,m^2+264207\,m+135135}+\frac{b^2\,d\,x^{11}\,{\left(e\,x\right)}^m\,\left(A\,b\,d+3\,B\,a\,d+2\,B\,b\,c\right)\,\left(m^6+38\,m^5+555\,m^4+3940\,m^3+14039\,m^2+22902\,m+12285\right)}{m^7+49\,m^6+973\,m^5+10045\,m^4+57379\,m^3+177331\,m^2+264207\,m+135135}+\frac{B\,b^3\,d^2\,x^{13}\,{\left(e\,x\right)}^m\,\left(m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395\right)}{m^7+49\,m^6+973\,m^5+10045\,m^4+57379\,m^3+177331\,m^2+264207\,m+135135}","Not used",1,"(x^7*(e*x)^m*(A*b^3*c^2 + B*a^3*d^2 + 3*A*a^2*b*d^2 + 3*B*a*b^2*c^2 + 6*A*a*b^2*c*d + 6*B*a^2*b*c*d)*(34986*m + 20335*m^2 + 5292*m^3 + 679*m^4 + 42*m^5 + m^6 + 19305))/(264207*m + 177331*m^2 + 57379*m^3 + 10045*m^4 + 973*m^5 + 49*m^6 + m^7 + 135135) + (a*x^5*(e*x)^m*(A*a^2*d^2 + 3*A*b^2*c^2 + 3*B*a*b*c^2 + 2*B*a^2*c*d + 6*A*a*b*c*d)*(47436*m + 25979*m^2 + 6280*m^3 + 753*m^4 + 44*m^5 + m^6 + 27027))/(264207*m + 177331*m^2 + 57379*m^3 + 10045*m^4 + 973*m^5 + 49*m^6 + m^7 + 135135) + (b*x^9*(e*x)^m*(3*B*a^2*d^2 + B*b^2*c^2 + 3*A*a*b*d^2 + 2*A*b^2*c*d + 6*B*a*b*c*d)*(27688*m + 16627*m^2 + 4528*m^3 + 613*m^4 + 40*m^5 + m^6 + 15015))/(264207*m + 177331*m^2 + 57379*m^3 + 10045*m^4 + 973*m^5 + 49*m^6 + m^7 + 135135) + (A*a^3*c^2*x*(e*x)^m*(129072*m + 48259*m^2 + 9120*m^3 + 925*m^4 + 48*m^5 + m^6 + 135135))/(264207*m + 177331*m^2 + 57379*m^3 + 10045*m^4 + 973*m^5 + 49*m^6 + m^7 + 135135) + (a^2*c*x^3*(e*x)^m*(2*A*a*d + 3*A*b*c + B*a*c)*(73054*m + 34759*m^2 + 7540*m^3 + 835*m^4 + 46*m^5 + m^6 + 45045))/(264207*m + 177331*m^2 + 57379*m^3 + 10045*m^4 + 973*m^5 + 49*m^6 + m^7 + 135135) + (b^2*d*x^11*(e*x)^m*(A*b*d + 3*B*a*d + 2*B*b*c)*(22902*m + 14039*m^2 + 3940*m^3 + 555*m^4 + 38*m^5 + m^6 + 12285))/(264207*m + 177331*m^2 + 57379*m^3 + 10045*m^4 + 973*m^5 + 49*m^6 + m^7 + 135135) + (B*b^3*d^2*x^13*(e*x)^m*(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395))/(264207*m + 177331*m^2 + 57379*m^3 + 10045*m^4 + 973*m^5 + 49*m^6 + m^7 + 135135)","B"
9,1,499,216,1.388397,"\text{Not used}","int((A + B*x^2)*(e*x)^m*(a + b*x^2)^2*(c + d*x^2)^2,x)","\frac{x^5\,{\left(e\,x\right)}^m\,\left(2\,B\,a^2\,c\,d+A\,a^2\,d^2+2\,B\,a\,b\,c^2+4\,A\,a\,b\,c\,d+A\,b^2\,c^2\right)\,\left(m^5+31\,m^4+350\,m^3+1730\,m^2+3489\,m+2079\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{x^7\,{\left(e\,x\right)}^m\,\left(B\,a^2\,d^2+4\,B\,a\,b\,c\,d+2\,A\,a\,b\,d^2+B\,b^2\,c^2+2\,A\,b^2\,c\,d\right)\,\left(m^5+29\,m^4+302\,m^3+1366\,m^2+2577\,m+1485\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{a\,c\,x^3\,{\left(e\,x\right)}^m\,\left(2\,A\,a\,d+2\,A\,b\,c+B\,a\,c\right)\,\left(m^5+33\,m^4+406\,m^3+2262\,m^2+5353\,m+3465\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{b\,d\,x^9\,{\left(e\,x\right)}^m\,\left(A\,b\,d+2\,B\,a\,d+2\,B\,b\,c\right)\,\left(m^5+27\,m^4+262\,m^3+1122\,m^2+2041\,m+1155\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{A\,a^2\,c^2\,x\,{\left(e\,x\right)}^m\,\left(m^5+35\,m^4+470\,m^3+3010\,m^2+9129\,m+10395\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{B\,b^2\,d^2\,x^{11}\,{\left(e\,x\right)}^m\,\left(m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}","Not used",1,"(x^5*(e*x)^m*(A*a^2*d^2 + A*b^2*c^2 + 2*B*a*b*c^2 + 2*B*a^2*c*d + 4*A*a*b*c*d)*(3489*m + 1730*m^2 + 350*m^3 + 31*m^4 + m^5 + 2079))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (x^7*(e*x)^m*(B*a^2*d^2 + B*b^2*c^2 + 2*A*a*b*d^2 + 2*A*b^2*c*d + 4*B*a*b*c*d)*(2577*m + 1366*m^2 + 302*m^3 + 29*m^4 + m^5 + 1485))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (a*c*x^3*(e*x)^m*(2*A*a*d + 2*A*b*c + B*a*c)*(5353*m + 2262*m^2 + 406*m^3 + 33*m^4 + m^5 + 3465))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (b*d*x^9*(e*x)^m*(A*b*d + 2*B*a*d + 2*B*b*c)*(2041*m + 1122*m^2 + 262*m^3 + 27*m^4 + m^5 + 1155))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (A*a^2*c^2*x*(e*x)^m*(9129*m + 3010*m^2 + 470*m^3 + 35*m^4 + m^5 + 10395))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (B*b^2*d^2*x^11*(e*x)^m*(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395)","B"
10,1,305,144,1.182376,"\text{Not used}","int((A + B*x^2)*(e*x)^m*(a + b*x^2)*(c + d*x^2)^2,x)","{\left(e\,x\right)}^m\,\left(\frac{x^5\,\left(A\,a\,d^2+B\,b\,c^2+2\,A\,b\,c\,d+2\,B\,a\,c\,d\right)\,\left(m^4+20\,m^3+130\,m^2+300\,m+189\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{c\,x^3\,\left(2\,A\,a\,d+A\,b\,c+B\,a\,c\right)\,\left(m^4+22\,m^3+164\,m^2+458\,m+315\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{d\,x^7\,\left(A\,b\,d+B\,a\,d+2\,B\,b\,c\right)\,\left(m^4+18\,m^3+104\,m^2+222\,m+135\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{A\,a\,c^2\,x\,\left(m^4+24\,m^3+206\,m^2+744\,m+945\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{B\,b\,d^2\,x^9\,\left(m^4+16\,m^3+86\,m^2+176\,m+105\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}\right)","Not used",1,"(e*x)^m*((x^5*(A*a*d^2 + B*b*c^2 + 2*A*b*c*d + 2*B*a*c*d)*(300*m + 130*m^2 + 20*m^3 + m^4 + 189))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (c*x^3*(2*A*a*d + A*b*c + B*a*c)*(458*m + 164*m^2 + 22*m^3 + m^4 + 315))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (d*x^7*(A*b*d + B*a*d + 2*B*b*c)*(222*m + 104*m^2 + 18*m^3 + m^4 + 135))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (A*a*c^2*x*(744*m + 206*m^2 + 24*m^3 + m^4 + 945))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (B*b*d^2*x^9*(176*m + 86*m^2 + 16*m^3 + m^4 + 105))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945))","B"
11,1,179,91,1.048223,"\text{Not used}","int((A + B*x^2)*(e*x)^m*(c + d*x^2)^2,x)","{\left(e\,x\right)}^m\,\left(\frac{B\,d^2\,x^7\,\left(m^3+9\,m^2+23\,m+15\right)}{m^4+16\,m^3+86\,m^2+176\,m+105}+\frac{A\,c^2\,x\,\left(m^3+15\,m^2+71\,m+105\right)}{m^4+16\,m^3+86\,m^2+176\,m+105}+\frac{c\,x^3\,\left(2\,A\,d+B\,c\right)\,\left(m^3+13\,m^2+47\,m+35\right)}{m^4+16\,m^3+86\,m^2+176\,m+105}+\frac{d\,x^5\,\left(A\,d+2\,B\,c\right)\,\left(m^3+11\,m^2+31\,m+21\right)}{m^4+16\,m^3+86\,m^2+176\,m+105}\right)","Not used",1,"(e*x)^m*((B*d^2*x^7*(23*m + 9*m^2 + m^3 + 15))/(176*m + 86*m^2 + 16*m^3 + m^4 + 105) + (A*c^2*x*(71*m + 15*m^2 + m^3 + 105))/(176*m + 86*m^2 + 16*m^3 + m^4 + 105) + (c*x^3*(2*A*d + B*c)*(47*m + 13*m^2 + m^3 + 35))/(176*m + 86*m^2 + 16*m^3 + m^4 + 105) + (d*x^5*(A*d + 2*B*c)*(31*m + 11*m^2 + m^3 + 21))/(176*m + 86*m^2 + 16*m^3 + m^4 + 105))","B"
12,0,-1,178,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(c + d*x^2)^2)/(a + b*x^2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(d\,x^2+c\right)}^2}{b\,x^2+a} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(c + d*x^2)^2)/(a + b*x^2), x)","F"
13,0,-1,247,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(c + d*x^2)^2)/(a + b*x^2)^2,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(d\,x^2+c\right)}^2}{{\left(b\,x^2+a\right)}^2} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(c + d*x^2)^2)/(a + b*x^2)^2, x)","F"
14,0,-1,292,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(c + d*x^2)^2)/(a + b*x^2)^3,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(d\,x^2+c\right)}^2}{{\left(b\,x^2+a\right)}^3} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(c + d*x^2)^2)/(a + b*x^2)^3, x)","F"
15,1,933,379,2.098636,"\text{Not used}","int((A + B*x^2)*(e*x)^m*(a + b*x^2)^3*(c + d*x^2)^3,x)","\frac{x^7\,{\left(e\,x\right)}^m\,\left(3\,B\,a^3\,c\,d^2+A\,a^3\,d^3+9\,B\,a^2\,b\,c^2\,d+9\,A\,a^2\,b\,c\,d^2+3\,B\,a\,b^2\,c^3+9\,A\,a\,b^2\,c^2\,d+A\,b^3\,c^3\right)\,\left(m^7+57\,m^6+1309\,m^5+15477\,m^4+99715\,m^3+340011\,m^2+544095\,m+289575\right)}{m^8+64\,m^7+1708\,m^6+24640\,m^5+208054\,m^4+1038016\,m^3+2924172\,m^2+4098240\,m+2027025}+\frac{x^9\,{\left(e\,x\right)}^m\,\left(B\,a^3\,d^3+9\,B\,a^2\,b\,c\,d^2+3\,A\,a^2\,b\,d^3+9\,B\,a\,b^2\,c^2\,d+9\,A\,a\,b^2\,c\,d^2+B\,b^3\,c^3+3\,A\,b^3\,c^2\,d\right)\,\left(m^7+55\,m^6+1213\,m^5+13723\,m^4+84547\,m^3+277093\,m^2+430335\,m+225225\right)}{m^8+64\,m^7+1708\,m^6+24640\,m^5+208054\,m^4+1038016\,m^3+2924172\,m^2+4098240\,m+2027025}+\frac{B\,b^3\,d^3\,x^{15}\,{\left(e\,x\right)}^m\,\left(m^7+49\,m^6+973\,m^5+10045\,m^4+57379\,m^3+177331\,m^2+264207\,m+135135\right)}{m^8+64\,m^7+1708\,m^6+24640\,m^5+208054\,m^4+1038016\,m^3+2924172\,m^2+4098240\,m+2027025}+\frac{3\,a\,c\,x^5\,{\left(e\,x\right)}^m\,\left(B\,a^2\,c\,d+A\,a^2\,d^2+B\,a\,b\,c^2+3\,A\,a\,b\,c\,d+A\,b^2\,c^2\right)\,\left(m^7+59\,m^6+1413\,m^5+17575\,m^4+120179\,m^3+437121\,m^2+738567\,m+405405\right)}{m^8+64\,m^7+1708\,m^6+24640\,m^5+208054\,m^4+1038016\,m^3+2924172\,m^2+4098240\,m+2027025}+\frac{3\,b\,d\,x^{11}\,{\left(e\,x\right)}^m\,\left(B\,a^2\,d^2+3\,B\,a\,b\,c\,d+A\,a\,b\,d^2+B\,b^2\,c^2+A\,b^2\,c\,d\right)\,\left(m^7+53\,m^6+1125\,m^5+12265\,m^4+73139\,m^3+233487\,m^2+355815\,m+184275\right)}{m^8+64\,m^7+1708\,m^6+24640\,m^5+208054\,m^4+1038016\,m^3+2924172\,m^2+4098240\,m+2027025}+\frac{a^2\,c^2\,x^3\,{\left(e\,x\right)}^m\,\left(3\,A\,a\,d+3\,A\,b\,c+B\,a\,c\right)\,\left(m^7+61\,m^6+1525\,m^5+20065\,m^4+147859\,m^3+594439\,m^2+1140855\,m+675675\right)}{m^8+64\,m^7+1708\,m^6+24640\,m^5+208054\,m^4+1038016\,m^3+2924172\,m^2+4098240\,m+2027025}+\frac{b^2\,d^2\,x^{13}\,{\left(e\,x\right)}^m\,\left(A\,b\,d+3\,B\,a\,d+3\,B\,b\,c\right)\,\left(m^7+51\,m^6+1045\,m^5+11055\,m^4+64339\,m^3+201609\,m^2+303255\,m+155925\right)}{m^8+64\,m^7+1708\,m^6+24640\,m^5+208054\,m^4+1038016\,m^3+2924172\,m^2+4098240\,m+2027025}+\frac{A\,a^3\,c^3\,x\,{\left(e\,x\right)}^m\,\left(m^7+63\,m^6+1645\,m^5+22995\,m^4+185059\,m^3+852957\,m^2+2071215\,m+2027025\right)}{m^8+64\,m^7+1708\,m^6+24640\,m^5+208054\,m^4+1038016\,m^3+2924172\,m^2+4098240\,m+2027025}","Not used",1,"(x^7*(e*x)^m*(A*a^3*d^3 + A*b^3*c^3 + 3*B*a*b^2*c^3 + 3*B*a^3*c*d^2 + 9*A*a*b^2*c^2*d + 9*A*a^2*b*c*d^2 + 9*B*a^2*b*c^2*d)*(544095*m + 340011*m^2 + 99715*m^3 + 15477*m^4 + 1309*m^5 + 57*m^6 + m^7 + 289575))/(4098240*m + 2924172*m^2 + 1038016*m^3 + 208054*m^4 + 24640*m^5 + 1708*m^6 + 64*m^7 + m^8 + 2027025) + (x^9*(e*x)^m*(B*a^3*d^3 + B*b^3*c^3 + 3*A*a^2*b*d^3 + 3*A*b^3*c^2*d + 9*A*a*b^2*c*d^2 + 9*B*a*b^2*c^2*d + 9*B*a^2*b*c*d^2)*(430335*m + 277093*m^2 + 84547*m^3 + 13723*m^4 + 1213*m^5 + 55*m^6 + m^7 + 225225))/(4098240*m + 2924172*m^2 + 1038016*m^3 + 208054*m^4 + 24640*m^5 + 1708*m^6 + 64*m^7 + m^8 + 2027025) + (B*b^3*d^3*x^15*(e*x)^m*(264207*m + 177331*m^2 + 57379*m^3 + 10045*m^4 + 973*m^5 + 49*m^6 + m^7 + 135135))/(4098240*m + 2924172*m^2 + 1038016*m^3 + 208054*m^4 + 24640*m^5 + 1708*m^6 + 64*m^7 + m^8 + 2027025) + (3*a*c*x^5*(e*x)^m*(A*a^2*d^2 + A*b^2*c^2 + B*a*b*c^2 + B*a^2*c*d + 3*A*a*b*c*d)*(738567*m + 437121*m^2 + 120179*m^3 + 17575*m^4 + 1413*m^5 + 59*m^6 + m^7 + 405405))/(4098240*m + 2924172*m^2 + 1038016*m^3 + 208054*m^4 + 24640*m^5 + 1708*m^6 + 64*m^7 + m^8 + 2027025) + (3*b*d*x^11*(e*x)^m*(B*a^2*d^2 + B*b^2*c^2 + A*a*b*d^2 + A*b^2*c*d + 3*B*a*b*c*d)*(355815*m + 233487*m^2 + 73139*m^3 + 12265*m^4 + 1125*m^5 + 53*m^6 + m^7 + 184275))/(4098240*m + 2924172*m^2 + 1038016*m^3 + 208054*m^4 + 24640*m^5 + 1708*m^6 + 64*m^7 + m^8 + 2027025) + (a^2*c^2*x^3*(e*x)^m*(3*A*a*d + 3*A*b*c + B*a*c)*(1140855*m + 594439*m^2 + 147859*m^3 + 20065*m^4 + 1525*m^5 + 61*m^6 + m^7 + 675675))/(4098240*m + 2924172*m^2 + 1038016*m^3 + 208054*m^4 + 24640*m^5 + 1708*m^6 + 64*m^7 + m^8 + 2027025) + (b^2*d^2*x^13*(e*x)^m*(A*b*d + 3*B*a*d + 3*B*b*c)*(303255*m + 201609*m^2 + 64339*m^3 + 11055*m^4 + 1045*m^5 + 51*m^6 + m^7 + 155925))/(4098240*m + 2924172*m^2 + 1038016*m^3 + 208054*m^4 + 24640*m^5 + 1708*m^6 + 64*m^7 + m^8 + 2027025) + (A*a^3*c^3*x*(e*x)^m*(2071215*m + 852957*m^2 + 185059*m^3 + 22995*m^4 + 1645*m^5 + 63*m^6 + m^7 + 2027025))/(4098240*m + 2924172*m^2 + 1038016*m^3 + 208054*m^4 + 24640*m^5 + 1708*m^6 + 64*m^7 + m^8 + 2027025)","B"
16,1,694,284,1.744702,"\text{Not used}","int((A + B*x^2)*(e*x)^m*(a + b*x^2)^2*(c + d*x^2)^3,x)","\frac{x^7\,{\left(e\,x\right)}^m\,\left(3\,B\,a^2\,c\,d^2+A\,a^2\,d^3+6\,B\,a\,b\,c^2\,d+6\,A\,a\,b\,c\,d^2+B\,b^2\,c^3+3\,A\,b^2\,c^2\,d\right)\,\left(m^6+42\,m^5+679\,m^4+5292\,m^3+20335\,m^2+34986\,m+19305\right)}{m^7+49\,m^6+973\,m^5+10045\,m^4+57379\,m^3+177331\,m^2+264207\,m+135135}+\frac{c\,x^5\,{\left(e\,x\right)}^m\,\left(3\,B\,a^2\,c\,d+3\,A\,a^2\,d^2+2\,B\,a\,b\,c^2+6\,A\,a\,b\,c\,d+A\,b^2\,c^2\right)\,\left(m^6+44\,m^5+753\,m^4+6280\,m^3+25979\,m^2+47436\,m+27027\right)}{m^7+49\,m^6+973\,m^5+10045\,m^4+57379\,m^3+177331\,m^2+264207\,m+135135}+\frac{d\,x^9\,{\left(e\,x\right)}^m\,\left(B\,a^2\,d^2+6\,B\,a\,b\,c\,d+2\,A\,a\,b\,d^2+3\,B\,b^2\,c^2+3\,A\,b^2\,c\,d\right)\,\left(m^6+40\,m^5+613\,m^4+4528\,m^3+16627\,m^2+27688\,m+15015\right)}{m^7+49\,m^6+973\,m^5+10045\,m^4+57379\,m^3+177331\,m^2+264207\,m+135135}+\frac{A\,a^2\,c^3\,x\,{\left(e\,x\right)}^m\,\left(m^6+48\,m^5+925\,m^4+9120\,m^3+48259\,m^2+129072\,m+135135\right)}{m^7+49\,m^6+973\,m^5+10045\,m^4+57379\,m^3+177331\,m^2+264207\,m+135135}+\frac{a\,c^2\,x^3\,{\left(e\,x\right)}^m\,\left(3\,A\,a\,d+2\,A\,b\,c+B\,a\,c\right)\,\left(m^6+46\,m^5+835\,m^4+7540\,m^3+34759\,m^2+73054\,m+45045\right)}{m^7+49\,m^6+973\,m^5+10045\,m^4+57379\,m^3+177331\,m^2+264207\,m+135135}+\frac{b\,d^2\,x^{11}\,{\left(e\,x\right)}^m\,\left(A\,b\,d+2\,B\,a\,d+3\,B\,b\,c\right)\,\left(m^6+38\,m^5+555\,m^4+3940\,m^3+14039\,m^2+22902\,m+12285\right)}{m^7+49\,m^6+973\,m^5+10045\,m^4+57379\,m^3+177331\,m^2+264207\,m+135135}+\frac{B\,b^2\,d^3\,x^{13}\,{\left(e\,x\right)}^m\,\left(m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395\right)}{m^7+49\,m^6+973\,m^5+10045\,m^4+57379\,m^3+177331\,m^2+264207\,m+135135}","Not used",1,"(x^7*(e*x)^m*(A*a^2*d^3 + B*b^2*c^3 + 3*A*b^2*c^2*d + 3*B*a^2*c*d^2 + 6*A*a*b*c*d^2 + 6*B*a*b*c^2*d)*(34986*m + 20335*m^2 + 5292*m^3 + 679*m^4 + 42*m^5 + m^6 + 19305))/(264207*m + 177331*m^2 + 57379*m^3 + 10045*m^4 + 973*m^5 + 49*m^6 + m^7 + 135135) + (c*x^5*(e*x)^m*(3*A*a^2*d^2 + A*b^2*c^2 + 2*B*a*b*c^2 + 3*B*a^2*c*d + 6*A*a*b*c*d)*(47436*m + 25979*m^2 + 6280*m^3 + 753*m^4 + 44*m^5 + m^6 + 27027))/(264207*m + 177331*m^2 + 57379*m^3 + 10045*m^4 + 973*m^5 + 49*m^6 + m^7 + 135135) + (d*x^9*(e*x)^m*(B*a^2*d^2 + 3*B*b^2*c^2 + 2*A*a*b*d^2 + 3*A*b^2*c*d + 6*B*a*b*c*d)*(27688*m + 16627*m^2 + 4528*m^3 + 613*m^4 + 40*m^5 + m^6 + 15015))/(264207*m + 177331*m^2 + 57379*m^3 + 10045*m^4 + 973*m^5 + 49*m^6 + m^7 + 135135) + (A*a^2*c^3*x*(e*x)^m*(129072*m + 48259*m^2 + 9120*m^3 + 925*m^4 + 48*m^5 + m^6 + 135135))/(264207*m + 177331*m^2 + 57379*m^3 + 10045*m^4 + 973*m^5 + 49*m^6 + m^7 + 135135) + (a*c^2*x^3*(e*x)^m*(3*A*a*d + 2*A*b*c + B*a*c)*(73054*m + 34759*m^2 + 7540*m^3 + 835*m^4 + 46*m^5 + m^6 + 45045))/(264207*m + 177331*m^2 + 57379*m^3 + 10045*m^4 + 973*m^5 + 49*m^6 + m^7 + 135135) + (b*d^2*x^11*(e*x)^m*(A*b*d + 2*B*a*d + 3*B*b*c)*(22902*m + 14039*m^2 + 3940*m^3 + 555*m^4 + 38*m^5 + m^6 + 12285))/(264207*m + 177331*m^2 + 57379*m^3 + 10045*m^4 + 973*m^5 + 49*m^6 + m^7 + 135135) + (B*b^2*d^3*x^13*(e*x)^m*(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395))/(264207*m + 177331*m^2 + 57379*m^3 + 10045*m^4 + 973*m^5 + 49*m^6 + m^7 + 135135)","B"
17,1,469,189,1.432255,"\text{Not used}","int((A + B*x^2)*(e*x)^m*(a + b*x^2)*(c + d*x^2)^3,x)","\frac{c^2\,x^3\,{\left(e\,x\right)}^m\,\left(3\,A\,a\,d+A\,b\,c+B\,a\,c\right)\,\left(m^5+33\,m^4+406\,m^3+2262\,m^2+5353\,m+3465\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{d^2\,x^9\,{\left(e\,x\right)}^m\,\left(A\,b\,d+B\,a\,d+3\,B\,b\,c\right)\,\left(m^5+27\,m^4+262\,m^3+1122\,m^2+2041\,m+1155\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{c\,x^5\,{\left(e\,x\right)}^m\,\left(3\,A\,a\,d^2+B\,b\,c^2+3\,A\,b\,c\,d+3\,B\,a\,c\,d\right)\,\left(m^5+31\,m^4+350\,m^3+1730\,m^2+3489\,m+2079\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{d\,x^7\,{\left(e\,x\right)}^m\,\left(A\,a\,d^2+3\,B\,b\,c^2+3\,A\,b\,c\,d+3\,B\,a\,c\,d\right)\,\left(m^5+29\,m^4+302\,m^3+1366\,m^2+2577\,m+1485\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{B\,b\,d^3\,x^{11}\,{\left(e\,x\right)}^m\,\left(m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{A\,a\,c^3\,x\,{\left(e\,x\right)}^m\,\left(m^5+35\,m^4+470\,m^3+3010\,m^2+9129\,m+10395\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}","Not used",1,"(c^2*x^3*(e*x)^m*(3*A*a*d + A*b*c + B*a*c)*(5353*m + 2262*m^2 + 406*m^3 + 33*m^4 + m^5 + 3465))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (d^2*x^9*(e*x)^m*(A*b*d + B*a*d + 3*B*b*c)*(2041*m + 1122*m^2 + 262*m^3 + 27*m^4 + m^5 + 1155))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (c*x^5*(e*x)^m*(3*A*a*d^2 + B*b*c^2 + 3*A*b*c*d + 3*B*a*c*d)*(3489*m + 1730*m^2 + 350*m^3 + 31*m^4 + m^5 + 2079))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (d*x^7*(e*x)^m*(A*a*d^2 + 3*B*b*c^2 + 3*A*b*c*d + 3*B*a*c*d)*(2577*m + 1366*m^2 + 302*m^3 + 29*m^4 + m^5 + 1485))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (B*b*d^3*x^11*(e*x)^m*(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (A*a*c^3*x*(e*x)^m*(9129*m + 3010*m^2 + 470*m^3 + 35*m^4 + m^5 + 10395))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395)","B"
18,1,280,121,1.133199,"\text{Not used}","int((A + B*x^2)*(e*x)^m*(c + d*x^2)^3,x)","{\left(e\,x\right)}^m\,\left(\frac{A\,c^3\,x\,\left(m^4+24\,m^3+206\,m^2+744\,m+945\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{B\,d^3\,x^9\,\left(m^4+16\,m^3+86\,m^2+176\,m+105\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{c^2\,x^3\,\left(3\,A\,d+B\,c\right)\,\left(m^4+22\,m^3+164\,m^2+458\,m+315\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{d^2\,x^7\,\left(A\,d+3\,B\,c\right)\,\left(m^4+18\,m^3+104\,m^2+222\,m+135\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{3\,c\,d\,x^5\,\left(A\,d+B\,c\right)\,\left(m^4+20\,m^3+130\,m^2+300\,m+189\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}\right)","Not used",1,"(e*x)^m*((A*c^3*x*(744*m + 206*m^2 + 24*m^3 + m^4 + 945))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (B*d^3*x^9*(176*m + 86*m^2 + 16*m^3 + m^4 + 105))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (c^2*x^3*(3*A*d + B*c)*(458*m + 164*m^2 + 22*m^3 + m^4 + 315))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (d^2*x^7*(A*d + 3*B*c)*(222*m + 104*m^2 + 18*m^3 + m^4 + 135))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (3*c*d*x^5*(A*d + B*c)*(300*m + 130*m^2 + 20*m^3 + m^4 + 189))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945))","B"
19,0,-1,258,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(c + d*x^2)^3)/(a + b*x^2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(d\,x^2+c\right)}^3}{b\,x^2+a} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(c + d*x^2)^3)/(a + b*x^2), x)","F"
20,0,-1,347,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(c + d*x^2)^3)/(a + b*x^2)^2,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(d\,x^2+c\right)}^3}{{\left(b\,x^2+a\right)}^2} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(c + d*x^2)^3)/(a + b*x^2)^2, x)","F"
21,0,-1,480,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(c + d*x^2)^3)/(a + b*x^2)^3,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(d\,x^2+c\right)}^3}{{\left(b\,x^2+a\right)}^3} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(c + d*x^2)^3)/(a + b*x^2)^3, x)","F"
22,0,-1,363,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^4)/(c + d*x^2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(b\,x^2+a\right)}^4}{d\,x^2+c} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^4)/(c + d*x^2), x)","F"
23,0,-1,260,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^3)/(c + d*x^2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(b\,x^2+a\right)}^3}{d\,x^2+c} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^3)/(c + d*x^2), x)","F"
24,0,-1,180,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^2)/(c + d*x^2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(b\,x^2+a\right)}^2}{d\,x^2+c} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^2)/(c + d*x^2), x)","F"
25,0,-1,120,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(a + b*x^2))/(c + d*x^2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,\left(b\,x^2+a\right)}{d\,x^2+c} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(a + b*x^2))/(c + d*x^2), x)","F"
26,0,-1,77,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m)/(c + d*x^2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m}{d\,x^2+c} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m)/(c + d*x^2), x)","F"
27,0,-1,125,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)*(c + d*x^2)),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m}{\left(b\,x^2+a\right)\,\left(d\,x^2+c\right)} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)*(c + d*x^2)), x)","F"
28,0,-1,206,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)^2*(c + d*x^2)),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m}{{\left(b\,x^2+a\right)}^2\,\left(d\,x^2+c\right)} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)^2*(c + d*x^2)), x)","F"
29,0,-1,342,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)^3*(c + d*x^2)),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m}{{\left(b\,x^2+a\right)}^3\,\left(d\,x^2+c\right)} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)^3*(c + d*x^2)), x)","F"
30,0,-1,340,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^3)/(c + d*x^2)^2,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(b\,x^2+a\right)}^3}{{\left(d\,x^2+c\right)}^2} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^3)/(c + d*x^2)^2, x)","F"
31,0,-1,246,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^2)/(c + d*x^2)^2,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(b\,x^2+a\right)}^2}{{\left(d\,x^2+c\right)}^2} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^2)/(c + d*x^2)^2, x)","F"
32,0,-1,171,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(a + b*x^2))/(c + d*x^2)^2,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,\left(b\,x^2+a\right)}{{\left(d\,x^2+c\right)}^2} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(a + b*x^2))/(c + d*x^2)^2, x)","F"
33,0,-1,103,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m)/(c + d*x^2)^2,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m}{{\left(d\,x^2+c\right)}^2} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m)/(c + d*x^2)^2, x)","F"
34,0,-1,205,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)*(c + d*x^2)^2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m}{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^2} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)*(c + d*x^2)^2), x)","F"
35,0,-1,304,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)^2*(c + d*x^2)^2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m}{{\left(b\,x^2+a\right)}^2\,{\left(d\,x^2+c\right)}^2} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)^2*(c + d*x^2)^2), x)","F"
36,0,-1,491,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)^3*(c + d*x^2)^2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m}{{\left(b\,x^2+a\right)}^3\,{\left(d\,x^2+c\right)}^2} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)^3*(c + d*x^2)^2), x)","F"
37,0,-1,433,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^3)/(c + d*x^2)^3,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(b\,x^2+a\right)}^3}{{\left(d\,x^2+c\right)}^3} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^3)/(c + d*x^2)^3, x)","F"
38,0,-1,292,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^2)/(c + d*x^2)^3,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(b\,x^2+a\right)}^2}{{\left(d\,x^2+c\right)}^3} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^2)/(c + d*x^2)^3, x)","F"
39,0,-1,208,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(a + b*x^2))/(c + d*x^2)^3,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,\left(b\,x^2+a\right)}{{\left(d\,x^2+c\right)}^3} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(a + b*x^2))/(c + d*x^2)^3, x)","F"
40,0,-1,103,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m)/(c + d*x^2)^3,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m}{{\left(d\,x^2+c\right)}^3} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m)/(c + d*x^2)^3, x)","F"
41,0,-1,333,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)*(c + d*x^2)^3),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m}{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^3} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)*(c + d*x^2)^3), x)","F"
42,0,-1,452,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)^2*(c + d*x^2)^3),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m}{{\left(b\,x^2+a\right)}^2\,{\left(d\,x^2+c\right)}^3} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)^2*(c + d*x^2)^3), x)","F"
43,0,-1,665,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)^3*(c + d*x^2)^3),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m}{{\left(b\,x^2+a\right)}^3\,{\left(d\,x^2+c\right)}^3} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m)/((a + b*x^2)^3*(c + d*x^2)^3), x)","F"
44,0,-1,1059,0.000000,"\text{Not used}","int((A + B*x^2)*(e*x)^m*(a + b*x^2)^p*(c + d*x^2)^3,x)","\int \left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(b\,x^2+a\right)}^p\,{\left(d\,x^2+c\right)}^3 \,d x","Not used",1,"int((A + B*x^2)*(e*x)^m*(a + b*x^2)^p*(c + d*x^2)^3, x)","F"
45,0,-1,495,0.000000,"\text{Not used}","int((A + B*x^2)*(e*x)^m*(a + b*x^2)^p*(c + d*x^2)^2,x)","\int \left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(b\,x^2+a\right)}^p\,{\left(d\,x^2+c\right)}^2 \,d x","Not used",1,"int((A + B*x^2)*(e*x)^m*(a + b*x^2)^p*(c + d*x^2)^2, x)","F"
46,0,-1,253,0.000000,"\text{Not used}","int((A + B*x^2)*(e*x)^m*(a + b*x^2)^p*(c + d*x^2),x)","\int \left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(b\,x^2+a\right)}^p\,\left(d\,x^2+c\right) \,d x","Not used",1,"int((A + B*x^2)*(e*x)^m*(a + b*x^2)^p*(c + d*x^2), x)","F"
47,0,-1,162,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^p)/(c + d*x^2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(b\,x^2+a\right)}^p}{d\,x^2+c} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^p)/(c + d*x^2), x)","F"
48,0,-1,295,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^p)/(c + d*x^2)^2,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(b\,x^2+a\right)}^p}{{\left(d\,x^2+c\right)}^2} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^p)/(c + d*x^2)^2, x)","F"
49,0,-1,483,0.000000,"\text{Not used}","int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^p)/(c + d*x^2)^3,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x\right)}^m\,{\left(b\,x^2+a\right)}^p}{{\left(d\,x^2+c\right)}^3} \,d x","Not used",1,"int(((A + B*x^2)*(e*x)^m*(a + b*x^2)^p)/(c + d*x^2)^3, x)","F"
50,1,101,84,1.510259,"\text{Not used}","int(((A + B*x^2)*(a + b*x^2)^(1/2)*(c + d*x^2))/x,x)","\sqrt{b\,x^2+a}\,\left(\frac{B\,d\,x^4}{5}-\frac{B\,a\,\left(2\,a\,d-5\,b\,c\right)}{15\,b^2}+\frac{B\,x^2\,\left(a\,d+5\,b\,c\right)}{15\,b}\right)+A\,c\,\sqrt{b\,x^2+a}+\frac{A\,d\,{\left(b\,x^2+a\right)}^{3/2}}{3\,b}-A\,\sqrt{a}\,c\,\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)","Not used",1,"(a + b*x^2)^(1/2)*((B*d*x^4)/5 - (B*a*(2*a*d - 5*b*c))/(15*b^2) + (B*x^2*(a*d + 5*b*c))/(15*b)) + A*c*(a + b*x^2)^(1/2) + (A*d*(a + b*x^2)^(3/2))/(3*b) - A*a^(1/2)*c*atanh((a + b*x^2)^(1/2)/a^(1/2))","B"
51,1,101,84,1.482589,"\text{Not used}","int(((A + B*x^2)*(a + b*x^2)*(c + d*x^2)^(1/2))/x,x)","\sqrt{d\,x^2+c}\,\left(\frac{B\,b\,x^4}{5}+\frac{B\,c\,\left(5\,a\,d-2\,b\,c\right)}{15\,d^2}+\frac{B\,x^2\,\left(5\,a\,d+b\,c\right)}{15\,d}\right)+A\,a\,\sqrt{d\,x^2+c}-A\,a\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{d\,x^2+c}}{\sqrt{c}}\right)+\frac{A\,b\,{\left(d\,x^2+c\right)}^{3/2}}{3\,d}","Not used",1,"(c + d*x^2)^(1/2)*((B*b*x^4)/5 + (B*c*(5*a*d - 2*b*c))/(15*d^2) + (B*x^2*(5*a*d + b*c))/(15*d)) + A*a*(c + d*x^2)^(1/2) - A*a*c^(1/2)*atanh((c + d*x^2)^(1/2)/c^(1/2)) + (A*b*(c + d*x^2)^(3/2))/(3*d)","B"