$\int \sec ^3 x \tan ^5 \& d x$
$\int \tan ^5 \sec ^4 8 d x$
$\int \frac{\ln (\tan x)}{\sin x \cos x} d x$
$\int \cos 3 x \cos 2 x d x$
$\int \frac{\sin x}{1+\sin x} d x$
$\int \frac{1}{\sin 2 x \cos x} d x$
$\int \frac{\arctan \sqrt{x}}{\sqrt{x}(1+x)} d x$
$\int \frac{1+\ln x}{2+(x \ln x)^2} d x$
$\int \frac{2 x-3}{x^2-3 x+1} d x$
$ \int \frac{x+1}{x^2-3 x+1} d x$
$ \int \frac{1-\ln x}{(x-\ln x)^2} d x$
$ \int \sqrt{a^2-x^2} d x$
$ \int \frac{1}{\sqrt{x^2-a^2}} d x$
$\int \frac{1}{\sqrt{a^2+x^2}} d x$
$ \int \frac{1}{\sqrt{x}+\sqrt[3]{x}} d x$
$ \int \frac{1}{\left(1+x^2\right)^2} d x$
$ \int \frac{3 x+1}{\sqrt{x^2+2 x-5}} d x $
$\int \frac{1}{x^2 \sqrt{x^2-1}} d x$
$\int \frac{1}{x^6\left(1+x^2\right)} d x$
$ \int \sqrt{1+\sqrt{x}} d x$