3.4 Integrals 301 to 354

\(\int (e x)^m (a+b x)^4 (a c-b c x)^3 \, dx\) [301]
\(\int (e x)^m (a+b x)^3 (a c-b c x)^2 \, dx\) [302]
\(\int (e x)^m (a+b x)^2 (a c-b c x) \, dx\) [303]
\(\int \genfrac {}{}{}{}{(e x)^m}{(a+b x) (a c-b c x)^2} \, dx\) [304]
\(\int \genfrac {}{}{}{}{(e x)^m}{(a+b x)^2 (a c-b c x)^3} \, dx\) [305]
\(\int \genfrac {}{}{}{}{(e x)^m}{(a+b x)^3 (a c-b c x)^4} \, dx\) [306]
\(\int (e x)^m (a-b x)^{5/2} (a c+b c x)^{11/2} \, dx\) [307]
\(\int (e x)^m (a-b x)^{5/2} (a c+b c x)^{9/2} \, dx\) [308]
\(\int (e x)^m (a-b x)^{5/2} (a c+b c x)^{7/2} \, dx\) [309]
\(\int (e x)^m (a-b x)^{5/2} (a c+b c x)^{5/2} \, dx\) [310]
\(\int (e x)^m (a-b x)^{5/2} (a c+b c x)^{3/2} \, dx\) [311]
\(\int \genfrac {}{}{}{}{(e x)^m (a-b x)^{5/2}}{\sqrt {a c+b c x}} \, dx\) [312]
\(\int \genfrac {}{}{}{}{(e x)^m (a-b x)^{5/2}}{(a c+b c x)^{3/2}} \, dx\) [313]
\(\int (e x)^m (a+b x) (a c-b c x)^4 \, dx\) [314]
\(\int (e x)^m (a+b x) (a c-b c x)^3 \, dx\) [315]
\(\int (e x)^m (a+b x) (a c-b c x)^2 \, dx\) [316]
\(\int (e x)^m (a+b x) (a c-b c x) \, dx\) [317]
\(\int \genfrac {}{}{}{}{(e x)^m (a+b x)}{a c-b c x} \, dx\) [318]
\(\int \genfrac {}{}{}{}{(e x)^m (a+b x)}{(a c-b c x)^2} \, dx\) [319]
\(\int \genfrac {}{}{}{}{(e x)^m (a c-b c x)^3}{a+b x} \, dx\) [320]
\(\int \genfrac {}{}{}{}{(e x)^m (a c-b c x)^2}{a+b x} \, dx\) [321]
\(\int \genfrac {}{}{}{}{(e x)^m (a c-b c x)}{a+b x} \, dx\) [322]
\(\int \genfrac {}{}{}{}{(e x)^m}{(a+b x) (a c-b c x)} \, dx\) [323]
\(\int \genfrac {}{}{}{}{(e x)^m}{(a+b x) (a c-b c x)^2} \, dx\) [324]
\(\int \genfrac {}{}{}{}{(e x)^m}{(a+b x) (a c-b c x)^3} \, dx\) [325]
\(\int (1-x)^n x^3 (1+x)^{-n} \, dx\) [326]
\(\int (1-x)^n x^2 (1+x)^{-n} \, dx\) [327]
\(\int (1-x)^n x (1+x)^{-n} \, dx\) [328]
\(\int (1-x)^n (1+x)^{-n} \, dx\) [329]
\(\int \genfrac {}{}{}{}{(1-x)^n (1+x)^{-n}}{x} \, dx\) [330]
\(\int \genfrac {}{}{}{}{(1-x)^n (1+x)^{-n}}{x^2} \, dx\) [331]
\(\int \genfrac {}{}{}{}{(1-x)^n (1+x)^{-n}}{x^3} \, dx\) [332]
\(\int \genfrac {}{}{}{}{(1-x)^n (1+x)^{-n}}{x^4} \, dx\) [333]
\(\int \genfrac {}{}{}{}{(1-x)^{-1-n} (1+x)^n}{x^2} \, dx\) [334]
\(\int \genfrac {}{}{}{}{(1-\genfrac {}{}{}{}{x}{a})^{-n/2} (1+\genfrac {}{}{}{}{x}{a})^{n/2}}{x^2} \, dx\) [335]
\(\int \genfrac {}{}{}{}{(1-a x)^{-n} (1+a x)^n}{x} \, dx\) [336]
\(\int \genfrac {}{}{}{}{(1-a x)^{1-n} (1+a x)^{1+n}}{x^2} \, dx\) [337]
\(\int x^2 (1-a x)^{-1-\genfrac {}{}{}{}{1}{2} n (1+n)} (1+a x)^{-1-\genfrac {}{}{}{}{1}{2} (-1+n) n} \, dx\) [338]
\(\int \genfrac {}{}{}{}{(a-b x)^{-n} (a+b x)^{1+n}}{x} \, dx\) [339]
\(\int \genfrac {}{}{}{}{(a-b x)^{-n} (a+b x)^{1+n}}{x^2} \, dx\) [340]
\(\int \genfrac {}{}{}{}{(a-b x)^{-n} (a+b x)^{1+n}}{x^3} \, dx\) [341]
\(\int \genfrac {}{}{}{}{(a-b x)^{-n} (a+b x)^{1+n}}{x^4} \, dx\) [342]
\(\int \genfrac {}{}{}{}{(a-b x)^{-n} (a+b x)^{1+n}}{x^5} \, dx\) [343]
\(\int \genfrac {}{}{}{}{(-1-x)^n (-1+x)^p}{(-x)^{3/2}} \, dx\) [344]
\(\int \genfrac {}{}{}{}{(-1-b x)^n (-1+b x)^p}{(-x)^{3/2}} \, dx\) [345]
\(\int \genfrac {}{}{}{}{(c-d x)^p (c+d x)^{3+p}}{x} \, dx\) [346]
\(\int x (c-d x)^p (c+d x)^{-3+p} \, dx\) [347]
\(\int x^m (3-2 a x)^{2+n} (6+4 a x)^n \, dx\) [348]
\(\int x^m (3-2 a x)^{1+n} (6+4 a x)^n \, dx\) [349]
\(\int x^m (3-2 a x)^n (6+4 a x)^n \, dx\) [350]
\(\int x^m (3-2 a x)^{-1+n} (6+4 a x)^n \, dx\) [351]
\(\int x^m (3-2 a x)^{-2+n} (6+4 a x)^n \, dx\) [352]
\(\int (e x)^m (a-b x)^{2+n} (a+b x)^n \, dx\) [353]
\(\int (1-x)^{-\genfrac {}{}{}{}{1}{2}+p} (c x)^{-2 (1+p)} (1+x)^{\genfrac {}{}{}{}{1}{2}+p} \, dx\) [354]