3.2 Integrals 101 to 143

\(\int \genfrac {}{}{}{}{\sqrt {2+3 x} \sqrt {4-9 x^2}}{(f+g x)^{13/2}} \, dx\) [101]
\(\int \genfrac {}{}{}{}{(d+c d x)^{7/2} (f-c f x)^{3/2}}{\sqrt {1-c^2 x^2}} \, dx\) [102]
\(\int \genfrac {}{}{}{}{(d+c d x)^{5/2} (f-c f x)^{3/2}}{\sqrt {1-c^2 x^2}} \, dx\) [103]
\(\int \genfrac {}{}{}{}{(d+c d x)^{3/2} (f-c f x)^{3/2}}{\sqrt {1-c^2 x^2}} \, dx\) [104]
\(\int \genfrac {}{}{}{}{\sqrt {d+c d x} (f-c f x)^{3/2}}{\sqrt {1-c^2 x^2}} \, dx\) [105]
\(\int \genfrac {}{}{}{}{(f-c f x)^{3/2}}{\sqrt {d+c d x} \sqrt {1-c^2 x^2}} \, dx\) [106]
\(\int \genfrac {}{}{}{}{(f-c f x)^{3/2}}{(d+c d x)^{3/2} \sqrt {1-c^2 x^2}} \, dx\) [107]
\(\int \genfrac {}{}{}{}{(f-c f x)^{3/2}}{(d+c d x)^{5/2} \sqrt {1-c^2 x^2}} \, dx\) [108]
\(\int \genfrac {}{}{}{}{(f-c f x)^{3/2}}{(d+c d x)^{7/2} \sqrt {1-c^2 x^2}} \, dx\) [109]
\(\int \genfrac {}{}{}{}{(f-c f x)^{3/2}}{(d+c d x)^{9/2} \sqrt {1-c^2 x^2}} \, dx\) [110]
\(\int \genfrac {}{}{}{}{(2+d x)^2 (e+f x)^n}{\sqrt {4-d^2 x^2}} \, dx\) [111]
\(\int \genfrac {}{}{}{}{(2+d x) (e+f x)^n}{\sqrt {4-d^2 x^2}} \, dx\) [112]
\(\int \genfrac {}{}{}{}{(e+f x)^n}{\sqrt {4-d^2 x^2}} \, dx\) [113]
\(\int \genfrac {}{}{}{}{(e+f x)^n}{(2+d x) \sqrt {4-d^2 x^2}} \, dx\) [114]
\(\int \genfrac {}{}{}{}{(e+f x)^n}{(2+d x)^2 \sqrt {4-d^2 x^2}} \, dx\) [115]
\(\int \genfrac {}{}{}{}{(2+d x)^2 (e+f x)^n}{(4-d^2 x^2)^{3/2}} \, dx\) [116]
\(\int \genfrac {}{}{}{}{(2+d x) (e+f x)^n}{(4-d^2 x^2)^{3/2}} \, dx\) [117]
\(\int \genfrac {}{}{}{}{(e+f x)^n}{(4-d^2 x^2)^{3/2}} \, dx\) [118]
\(\int \genfrac {}{}{}{}{(e+f x)^n}{(2+d x) (4-d^2 x^2)^{3/2}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{(e+f x)^n}{(2+d x)^2 (4-d^2 x^2)^{3/2}} \, dx\) [120]
\(\int \genfrac {}{}{}{}{(5+7 x)^2 (\genfrac {}{}{}{}{a}{7 a+5 b}+\genfrac {}{}{}{}{b x}{7 a+5 b})^n}{\sqrt {25-49 x^2}} \, dx\) [121]
\(\int \genfrac {}{}{}{}{(5+7 x)^2 (e+f x)^n}{\sqrt {25-49 x^2}} \, dx\) [122]
\(\int \genfrac {}{}{}{}{(1+d x) (e+f x)^n}{\sqrt {1-d^2 x^2}} \, dx\) [123]
\(\int \genfrac {}{}{}{}{(e+f x)^n \sqrt {1-d^2 x^2}}{1-d x} \, dx\) [124]
\(\int \genfrac {}{}{}{}{\sqrt {1+d x} (e+f x)^n}{\sqrt {1-d x}} \, dx\) [125]
\(\int \genfrac {}{}{}{}{(1+d x)^2 (e+f x)^n}{\sqrt {1-d^2 x^2}} \, dx\) [126]
\(\int \genfrac {}{}{}{}{(e+f x)^n (1-d^2 x^2)^{3/2}}{(1-d x)^2} \, dx\) [127]
\(\int \genfrac {}{}{}{}{(1+d x)^{3/2} (e+f x)^n}{\sqrt {1-d x}} \, dx\) [128]
\(\int \genfrac {}{}{}{}{(a+b x)^m \sqrt {2+d x}}{\sqrt {2-d x}} \, dx\) [129]
\(\int \genfrac {}{}{}{}{(a+b x)^m (2+d x)}{\sqrt {4-d^2 x^2}} \, dx\) [130]
\(\int \genfrac {}{}{}{}{(a+b x)^m \sqrt {c+d x}}{\sqrt {c-d x}} \, dx\) [131]
\(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)}{\sqrt {c^2-d^2 x^2}} \, dx\) [132]
\(\int (c+d x)^m (e+f x)^n (c^2-d^2 x^2)^p \, dx\) [133]
\(\int (2+d x)^m (e+f x)^n (4-d^2 x^2)^p \, dx\) [134]
\(\int (d+e x)^2 (f+g x)^n (d^2-e^2 x^2)^p \, dx\) [135]
\(\int (d+e x) (f+g x)^n (d^2-e^2 x^2)^p \, dx\) [136]
\(\int (f+g x)^n (d^2-e^2 x^2)^p \, dx\) [137]
\(\int \genfrac {}{}{}{}{(f+g x)^n (d^2-e^2 x^2)^p}{d+e x} \, dx\) [138]
\(\int \genfrac {}{}{}{}{(f+g x)^n (d^2-e^2 x^2)^p}{(d+e x)^2} \, dx\) [139]
\(\int \genfrac {}{}{}{}{(f+g x)^n (d^2-e^2 x^2)^p}{(d+e x)^3} \, dx\) [140]
\(\int (1+d x) (e+f x)^n (1-d^2 x^2)^p \, dx\) [141]
\(\int \genfrac {}{}{}{}{(e+f x)^n (1-d^2 x^2)^{1+p}}{1-d x} \, dx\) [142]
\(\int (1-d x)^p (1+d x)^{1+p} (e+f x)^n \, dx\) [143]