Question
Evaluate the following:
$\int x \cos ^3 x d x$
$\int x \cos ^3 x d x$
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$\tan ^{-1}\left(\frac{a+b \tan x}{b-a \tan x}\right)$
$\int_0^3 x^2(3-x)^{\frac{5}{2}} \cdot d x$
$\frac{4 e^x-25}{2 e^x-5}$