\(\int \genfrac {}{}{}{}{(f+g x)^n (a+2 c d x+c e x^2)}{(d+e x)^4} \, dx\) [701]
\(\int \genfrac {}{}{}{}{(d+e x)^m (a+b x+c x^2)}{(f+g x)^3} \, dx\) [702]
\(\int \genfrac {}{}{}{}{(d+e x)^{-2+m} (a+b x+c x^2)}{(f+g x)^3} \, dx\) [703]
\(\int \genfrac {}{}{}{}{(2+3 x)^4 (1+4 x)^m}{1-5 x+3 x^2} \, dx\) [704]
\(\int \genfrac {}{}{}{}{(2+3 x)^3 (1+4 x)^m}{1-5 x+3 x^2} \, dx\) [705]
\(\int \genfrac {}{}{}{}{(2+3 x)^2 (1+4 x)^m}{1-5 x+3 x^2} \, dx\) [706]
\(\int \genfrac {}{}{}{}{(2+3 x) (1+4 x)^m}{1-5 x+3 x^2} \, dx\) [707]
\(\int \genfrac {}{}{}{}{(1+4 x)^m}{1-5 x+3 x^2} \, dx\) [708]
\(\int \genfrac {}{}{}{}{(1+4 x)^m}{(2+3 x) (1-5 x+3 x^2)} \, dx\) [709]
\(\int \genfrac {}{}{}{}{(1+4 x)^m}{(2+3 x)^2 (1-5 x+3 x^2)} \, dx\) [710]
\(\int \genfrac {}{}{}{}{(2+3 x)^4 (1+4 x)^m}{(1-5 x+3 x^2)^2} \, dx\) [711]
\(\int \genfrac {}{}{}{}{(2+3 x)^3 (1+4 x)^m}{(1-5 x+3 x^2)^2} \, dx\) [712]
\(\int \genfrac {}{}{}{}{(2+3 x)^2 (1+4 x)^m}{(1-5 x+3 x^2)^2} \, dx\) [713]
\(\int \genfrac {}{}{}{}{(2+3 x) (1+4 x)^m}{(1-5 x+3 x^2)^2} \, dx\) [714]
\(\int \genfrac {}{}{}{}{(1+4 x)^m}{(1-5 x+3 x^2)^2} \, dx\) [715]
\(\int \genfrac {}{}{}{}{(1+4 x)^m}{(2+3 x) (1-5 x+3 x^2)^2} \, dx\) [716]
\(\int \genfrac {}{}{}{}{(1+4 x)^m}{(2+3 x)^2 (1-5 x+3 x^2)^2} \, dx\) [717]
\(\int \genfrac {}{}{}{}{(4+3 x)^m (2+3 x+x^2)}{(5-2 x)^{3/2}} \, dx\) [718]
\(\int (5-2 x)^n (4+3 x)^m (2+3 x+x^2)^2 \, dx\) [719]
\(\int (5-2 x)^n (4+3 x)^m (2+3 x+x^2) \, dx\) [720]
\(\int (5-2 x)^n (4+3 x)^m \, dx\) [721]
\(\int \genfrac {}{}{}{}{(5-2 x)^n (4+3 x)^m}{2+3 x+x^2} \, dx\) [722]
\(\int \genfrac {}{}{}{}{(5-2 x)^n (4+3 x)^m}{(2+3 x+x^2)^2} \, dx\) [723]
\(\int (d+e x)^m (f+g x)^3 (a+b x+c x^2)^p \, dx\) [724]
\(\int (d+e x)^m (f+g x)^2 (a+b x+c x^2)^p \, dx\) [725]
\(\int (d+e x)^m (f+g x) (a+b x+c x^2)^p \, dx\) [726]
\(\int (d+e x)^m (a+b x+c x^2)^p \, dx\) [727]
\(\int \genfrac {}{}{}{}{(d+e x)^m (a+b x+c x^2)^p}{f+g x} \, dx\) [728]
\(\int \genfrac {}{}{}{}{(d+e x)^m (a+b x+c x^2)^p}{(f+g x)^2} \, dx\) [729]
\(\int (d+e x)^{-3-2 p} (b d-2 a e+(2 c d-b e) x) (a+b x+c x^2)^p \, dx\) [730]
\(\int \genfrac {}{}{}{}{(b d-2 a e+(2 c d-b e) x) (a+b x+c x^2)^3}{(d+e x)^9} \, dx\) [731]
\(\int \genfrac {}{}{}{}{(b d-2 a e+(2 c d-b e) x) (a+b x+c x^2)^2}{(d+e x)^7} \, dx\) [732]
\(\int \genfrac {}{}{}{}{(b d-2 a e+(2 c d-b e) x) (a+b x+c x^2)}{(d+e x)^5} \, dx\) [733]
\(\int \genfrac {}{}{}{}{b d-2 a e+(2 c d-b e) x}{(d+e x)^3} \, dx\) [734]
\(\int \genfrac {}{}{}{}{b d-2 a e+(2 c d-b e) x}{(d+e x) (a+b x+c x^2)} \, dx\) [735]
\(\int \genfrac {}{}{}{}{(d+e x) (b d-2 a e+(2 c d-b e) x)}{(a+b x+c x^2)^2} \, dx\) [736]
\(\int \genfrac {}{}{}{}{(d+e x)^3 (b d-2 a e+(2 c d-b e) x)}{(a+b x+c x^2)^3} \, dx\) [737]
\(\int \genfrac {}{}{}{}{(d+e x)^5 (b d-2 a e+(2 c d-b e) x)}{(a+b x+c x^2)^4} \, dx\) [738]
\(\int \genfrac {}{}{}{}{(b d-2 a e+(2 c d-b e) x) (a+b x+c x^2)^{5/2}}{(d+e x)^8} \, dx\) [739]
\(\int \genfrac {}{}{}{}{(b d-2 a e+(2 c d-b e) x) (a+b x+c x^2)^{3/2}}{(d+e x)^6} \, dx\) [740]
\(\int \genfrac {}{}{}{}{(b d-2 a e+(2 c d-b e) x) \sqrt {a+b x+c x^2}}{(d+e x)^4} \, dx\) [741]
\(\int \genfrac {}{}{}{}{b d-2 a e+(2 c d-b e) x}{(d+e x)^2 \sqrt {a+b x+c x^2}} \, dx\) [742]
\(\int \genfrac {}{}{}{}{b d-2 a e+(2 c d-b e) x}{(a+b x+c x^2)^{3/2}} \, dx\) [743]
\(\int \genfrac {}{}{}{}{(d+e x)^2 (b d-2 a e+(2 c d-b e) x)}{(a+b x+c x^2)^{5/2}} \, dx\) [744]
\(\int \genfrac {}{}{}{}{(d+e x)^4 (b d-2 a e+(2 c d-b e) x)}{(a+b x+c x^2)^{7/2}} \, dx\) [745]
\(\int (d+e x)^m (f+g x)^2 (2 d^2 g^2 (1+p)^2-2 d e f g (1+p) (3+m+2 p)+e^2 f^2 (6+m^2+7 p+2 p^2+m (5+3 p))-2 e g (1+m) (d g (1+p)-e f (3+m+2 p)) x+e^2 g^2 (1+m) (2+m+p) x^2)^p \, dx\) [746]
\(\int (d+e x)^3 (f+g x)^2 (48 e^2 f^2-32 d e f g+8 d^2 g^2-8 e g (-8 e f+2 d g) x+24 e^2 g^2 x^2) \, dx\) [747]
\(\int (d+e x)^2 (f+g x)^2 (35 e^2 f^2-28 d e f g+8 d^2 g^2-6 e g (-7 e f+2 d g) x+15 e^2 g^2 x^2) \, dx\) [748]
\(\int (d+e x) (f+g x)^2 (24 e^2 f^2-24 d e f g+8 d^2 g^2-4 e g (-6 e f+2 d g) x+8 e^2 g^2 x^2) \, dx\) [749]
\(\int (f+g x)^2 (15 e^2 f^2-20 d e f g+8 d^2 g^2-2 e g (-5 e f+2 d g) x+3 e^2 g^2 x^2) \, dx\) [750]
\(\int \genfrac {}{}{}{}{(f+g x)^2 (3 e^2 f^2-12 d e f g+8 d^2 g^2+2 e g (-3 e f+2 d g) x-e^2 g^2 x^2)}{(d+e x)^2} \, dx\) [751]
\(\int \genfrac {}{}{}{}{(f+g x)^2 (-8 d e f g+8 d^2 g^2+4 e g (-2 e f+2 d g) x)}{(d+e x)^3} \, dx\) [752]
\(\int (d+e x)^3 (f+g x)^2 (70 e^2 f^2-60 d e f g+18 d^2 g^2-8 e g (-10 e f+3 d g) x+28 e^2 g^2 x^2)^2 \, dx\) [753]
\(\int (d+e x)^2 (f+g x)^2 (54 e^2 f^2-54 d e f g+18 d^2 g^2-6 e g (-9 e f+3 d g) x+18 e^2 g^2 x^2)^2 \, dx\) [754]
\(\int (d+e x) (f+g x)^2 (40 e^2 f^2-48 d e f g+18 d^2 g^2-4 e g (-8 e f+3 d g) x+10 e^2 g^2 x^2)^2 \, dx\) [755]
\(\int (f+g x)^2 (28 e^2 f^2-42 d e f g+18 d^2 g^2-2 e g (-7 e f+3 d g) x+4 e^2 g^2 x^2)^2 \, dx\) [756]
\(\int \genfrac {}{}{}{}{(f+g x)^2 (10 e^2 f^2-30 d e f g+18 d^2 g^2+2 e g (-5 e f+3 d g) x-2 e^2 g^2 x^2)^2}{(d+e x)^2} \, dx\) [757]
\(\int \genfrac {}{}{}{}{(f+g x)^2 (4 e^2 f^2-24 d e f g+18 d^2 g^2+4 e g (-4 e f+3 d g) x-2 e^2 g^2 x^2)^2}{(d+e x)^3} \, dx\) [758]
\(\int \genfrac {}{}{}{}{(d+e x)^3 (f+g x)^2}{(6 e^2 f^2+4 d e f g+2 d^2 g^2-8 e g (-2 e f-d g) x+12 e^2 g^2 x^2)^2} \, dx\) [759]
\(\int \genfrac {}{}{}{}{(d+e x)^2 (f+g x)^2}{(2 e^2 f^2+2 d e f g+2 d^2 g^2-6 e g (-e f-d g) x+6 e^2 g^2 x^2)^2} \, dx\) [760]
\(\int \genfrac {}{}{}{}{(d+e x) (f+g x)^2}{(2 d^2 g^2+4 d e g^2 x+2 e^2 g^2 x^2)^2} \, dx\) [761]
\(\int \genfrac {}{}{}{}{(f+g x)^2}{(-2 d e f g+2 d^2 g^2-2 e g (e f-d g) x)^2} \, dx\) [762]
\(\int \genfrac {}{}{}{}{(f+g x)^2}{(d+e x)^2 (6 e^2 f^2-6 d e f g+2 d^2 g^2+2 e g (3 e f-d g) x+2 e^2 g^2 x^2)^2} \, dx\) [763]
\(\int \genfrac {}{}{}{}{(f+g x)^2}{(d+e x)^3 (12 e^2 f^2-8 d e f g+2 d^2 g^2+4 e g (4 e f-d g) x+6 e^2 g^2 x^2)^2} \, dx\) [764]
\(\int \genfrac {}{}{}{}{(d+e x)^3 (f+g x)^2}{(8 d^2 g^2+16 d e g^2 x+8 e^2 g^2 x^2)^3} \, dx\) [765]
\(\int \genfrac {}{}{}{}{(d+e x)^2 (f+g x)^2}{(-e^2 f^2-4 d e f g+8 d^2 g^2-6 e g (e f-2 d g) x+3 e^2 g^2 x^2)^3} \, dx\) [766]
\(\int \genfrac {}{}{}{}{(d+e x) (f+g x)^2}{(-8 d e f g+8 d^2 g^2-4 e g (2 e f-2 d g) x)^3} \, dx\) [767]
\(\int \genfrac {}{}{}{}{(f+g x)^2}{(3 e^2 f^2-12 d e f g+8 d^2 g^2-2 e g (3 e f-2 d g) x-e^2 g^2 x^2)^3} \, dx\) [768]
\(\int \genfrac {}{}{}{}{(f+g x)^2}{(d+e x)^2 (15 e^2 f^2-20 d e f g+8 d^2 g^2+2 e g (5 e f-2 d g) x+3 e^2 g^2 x^2)^3} \, dx\) [769]
\(\int \genfrac {}{}{}{}{(f+g x)^2}{(d+e x)^3 (24 e^2 f^2-24 d e f g+8 d^2 g^2+4 e g (6 e f-2 d g) x+8 e^2 g^2 x^2)^3} \, dx\) [770]
\(\int (d+e x)^3 (f+g x)^2 \sqrt {\genfrac {}{}{}{}{77 e^2 f^2}{2}-21 d e f g+\genfrac {}{}{}{}{9 d^2 g^2}{2}-8 e g (-7 e f+\genfrac {}{}{}{}{3 d g}{2}) x+22 e^2 g^2 x^2} \, dx\) [771]
\(\int (d+e x)^2 (f+g x)^2 \sqrt {27 e^2 f^2-18 d e f g+\genfrac {}{}{}{}{9 d^2 g^2}{2}-6 e g (-6 e f+\genfrac {}{}{}{}{3 d g}{2}) x+\genfrac {}{}{}{}{27}{2} e^2 g^2 x^2} \, dx\) [772]
\(\int (d+e x) (f+g x)^2 \sqrt {\genfrac {}{}{}{}{35 e^2 f^2}{2}-15 d e f g+\genfrac {}{}{}{}{9 d^2 g^2}{2}-4 e g (-5 e f+\genfrac {}{}{}{}{3 d g}{2}) x+7 e^2 g^2 x^2} \, dx\) [773]
\(\int (f+g x)^2 \sqrt {10 e^2 f^2-12 d e f g+\genfrac {}{}{}{}{9 d^2 g^2}{2}-2 e g (-4 e f+\genfrac {}{}{}{}{3 d g}{2}) x+\genfrac {}{}{}{}{5}{2} e^2 g^2 x^2} \, dx\) [774]
\(\int \genfrac {}{}{}{}{(f+g x)^2 \sqrt {e^2 f^2-6 d e f g+\genfrac {}{}{}{}{9 d^2 g^2}{2}+2 e g (-2 e f+\genfrac {}{}{}{}{3 d g}{2}) x-\genfrac {}{}{}{}{1}{2} e^2 g^2 x^2}}{(d+e x)^2} \, dx\) [775]
\(\int \genfrac {}{}{}{}{(f+g x)^2 \sqrt {-\genfrac {}{}{}{}{1}{2} e^2 f^2-3 d e f g+\genfrac {}{}{}{}{9 d^2 g^2}{2}+4 e g (-e f+\genfrac {}{}{}{}{3 d g}{2}) x+e^2 g^2 x^2}}{(d+e x)^3} \, dx\) [776]
\(\int (d+e x)^3 (f+g x)^2 (\genfrac {}{}{}{}{117 e^2 f^2}{2}-45 d e f g+\genfrac {}{}{}{}{25 d^2 g^2}{2}-8 e g (-9 e f+\genfrac {}{}{}{}{5 d g}{2}) x+26 e^2 g^2 x^2)^{3/2} \, dx\) [777]
\(\int (d+e x)^2 (f+g x)^2 (44 e^2 f^2-40 d e f g+\genfrac {}{}{}{}{25 d^2 g^2}{2}-6 e g (-8 e f+\genfrac {}{}{}{}{5 d g}{2}) x+\genfrac {}{}{}{}{33}{2} e^2 g^2 x^2)^{3/2} \, dx\) [778]
\(\int (d+e x) (f+g x)^2 (\genfrac {}{}{}{}{63 e^2 f^2}{2}-35 d e f g+\genfrac {}{}{}{}{25 d^2 g^2}{2}-4 e g (-7 e f+\genfrac {}{}{}{}{5 d g}{2}) x+9 e^2 g^2 x^2)^{3/2} \, dx\) [779]
\(\int (f+g x)^2 (21 e^2 f^2-30 d e f g+\genfrac {}{}{}{}{25 d^2 g^2}{2}-2 e g (-6 e f+\genfrac {}{}{}{}{5 d g}{2}) x+\genfrac {}{}{}{}{7}{2} e^2 g^2 x^2)^{3/2} \, dx\) [780]
\(\int \genfrac {}{}{}{}{(f+g x)^2 (6 e^2 f^2-20 d e f g+\genfrac {}{}{}{}{25 d^2 g^2}{2}+2 e g (-4 e f+\genfrac {}{}{}{}{5 d g}{2}) x-\genfrac {}{}{}{}{3}{2} e^2 g^2 x^2)^{3/2}}{(d+e x)^2} \, dx\) [781]
\(\int \genfrac {}{}{}{}{(f+g x)^2 (\genfrac {}{}{}{}{3 e^2 f^2}{2}-15 d e f g+\genfrac {}{}{}{}{25 d^2 g^2}{2}+4 e g (-3 e f+\genfrac {}{}{}{}{5 d g}{2}) x-e^2 g^2 x^2)^{3/2}}{(d+e x)^3} \, dx\) [782]
\(\int \genfrac {}{}{}{}{(d+e x)^3 (f+g x)^2}{\sqrt {\genfrac {}{}{}{}{45 e^2 f^2}{2}-5 d e f g+\genfrac {}{}{}{}{d^2 g^2}{2}-8 e g (-5 e f+\genfrac {}{}{}{}{d g}{2}) x+18 e^2 g^2 x^2}} \, dx\) [783]
\(\int \genfrac {}{}{}{}{(d+e x)^2 (f+g x)^2}{\sqrt {14 e^2 f^2-4 d e f g+\genfrac {}{}{}{}{d^2 g^2}{2}-6 e g (-4 e f+\genfrac {}{}{}{}{d g}{2}) x+\genfrac {}{}{}{}{21}{2} e^2 g^2 x^2}} \, dx\) [784]
\(\int \genfrac {}{}{}{}{(d+e x) (f+g x)^2}{\sqrt {\genfrac {}{}{}{}{15 e^2 f^2}{2}-3 d e f g+\genfrac {}{}{}{}{d^2 g^2}{2}-4 e g (-3 e f+\genfrac {}{}{}{}{d g}{2}) x+5 e^2 g^2 x^2}} \, dx\) [785]
\(\int \genfrac {}{}{}{}{(f+g x)^2}{\sqrt {3 e^2 f^2-2 d e f g+\genfrac {}{}{}{}{d^2 g^2}{2}-2 e g (-2 e f+\genfrac {}{}{}{}{d g}{2}) x+\genfrac {}{}{}{}{3}{2} e^2 g^2 x^2}} \, dx\) [786]
\(\int \genfrac {}{}{}{}{(f+g x)^2}{(d+e x)^2 \sqrt {\genfrac {}{}{}{}{d^2 g^2}{2}+d e g^2 x+\genfrac {}{}{}{}{1}{2} e^2 g^2 x^2}} \, dx\) [787]
\(\int \genfrac {}{}{}{}{(f+g x)^2}{(d+e x)^3 \sqrt {\genfrac {}{}{}{}{3 e^2 f^2}{2}+d e f g+\genfrac {}{}{}{}{d^2 g^2}{2}+4 e g (e f+\genfrac {}{}{}{}{d g}{2}) x+3 e^2 g^2 x^2}} \, dx\) [788]
\(\int \genfrac {}{}{}{}{(d+e x)^3 (f+g x)^2}{(\genfrac {}{}{}{}{21 e^2 f^2}{2}+3 d e f g+\genfrac {}{}{}{}{d^2 g^2}{2}-8 e g (-3 e f-\genfrac {}{}{}{}{d g}{2}) x+14 e^2 g^2 x^2)^{3/2}} \, dx\) [789]
\(\int \genfrac {}{}{}{}{(d+e x)^2 (f+g x)^2}{(5 e^2 f^2+2 d e f g+\genfrac {}{}{}{}{d^2 g^2}{2}-6 e g (-2 e f-\genfrac {}{}{}{}{d g}{2}) x+\genfrac {}{}{}{}{15}{2} e^2 g^2 x^2)^{3/2}} \, dx\) [790]
\(\int \genfrac {}{}{}{}{(d+e x) (f+g x)^2}{(\genfrac {}{}{}{}{3 e^2 f^2}{2}+d e f g+\genfrac {}{}{}{}{d^2 g^2}{2}-4 e g (-e f-\genfrac {}{}{}{}{d g}{2}) x+3 e^2 g^2 x^2)^{3/2}} \, dx\) [791]
\(\int \genfrac {}{}{}{}{(f+g x)^2}{(\genfrac {}{}{}{}{d^2 g^2}{2}+d e g^2 x+\genfrac {}{}{}{}{1}{2} e^2 g^2 x^2)^{3/2}} \, dx\) [792]
\(\int \genfrac {}{}{}{}{(f+g x)^2}{(d+e x)^2 (3 e^2 f^2-2 d e f g+\genfrac {}{}{}{}{d^2 g^2}{2}+2 e g (2 e f-\genfrac {}{}{}{}{d g}{2}) x+\genfrac {}{}{}{}{3}{2} e^2 g^2 x^2)^{3/2}} \, dx\) [793]
\(\int \genfrac {}{}{}{}{(f+g x)^2}{(d+e x)^3 (\genfrac {}{}{}{}{15 e^2 f^2}{2}-3 d e f g+\genfrac {}{}{}{}{d^2 g^2}{2}+4 e g (3 e f-\genfrac {}{}{}{}{d g}{2}) x+5 e^2 g^2 x^2)^{3/2}} \, dx\) [794]