Evaluate :

${\int }_0^{\frac{\pi }{2}}\log \left(\tan x\right)·dx$

Evaluate :

${\int }_0^1\log \left(\frac{1}{x}-1\right)·dx$

Evaluate :

${\int }_0^{\frac{\pi }{2}}\frac{\sin x-\cos x}{1+\sin x·\cos x}·dx$

Evaluate :

${\int }_0^3{x}^2{\left(3-x\right)}^{\frac{5}{2}}·dx$

Evaluate :

${\int }_{-3}^3\frac{x^3}{9-x^2}·dx$

Evaluate :

${\int }_{\frac{-\pi }{2}}^{\frac{\pi }{2}}\log \left(\frac{2+\sin x}{2-\sin x}\right)·dx$

Evaluate :

${\int }_{\frac{-\pi }{4}}^{\frac{\pi }{4}}\frac{x+\frac{\pi }{4}}{2-\cos 2x}·dx$

Evaluate :

${\int }_{\frac{-\pi }{4}}^{\frac{\pi }{4}}{x}^3·{\sin }^{4}x·dx$

Evaluate :

${\int }_0^1\frac{\log \left(x+1\right)}{x^2+1}·dx$