$\int\sqrt{cos\left(4x\right)+1}dx$

$\frac{d}{dx}\left(x\cos\left(\ln\left(x\right)\right)\right)$

$\int\frac{2x+7}{x^2-6x+8}dx$

$\tan\left(2x\right)^2.\sec\left(2x\right)^2$

$5\log\left(x\right)+3\log\left(x+9\right)$

$\int_0^{\frac{\sqrt{2}}{2}}\frac{1}{\left(1-x^2\right)^{\frac{3}{2}}}dx$

$\int\sqrt{x}\:\ln\left(\left|x\right|\right)\:dx$