Integrals Test ...

$$\displaystyle \int_{0}^{1}\tanh xdx=$$

Evaluate the integral
$$\displaystyle \int_{1}^{e}\frac{(\ln x)^{3}}{x}dx $$

$$\displaystyle \int_{0}^{\pi}\frac{\tan x}{\sec x+\cos x}dx_{=}$$

$$\displaystyle \int_{0}^{1}\mathrm{e}^{\mathrm{x}}(\mathrm{e}^{\mathrm{x}}+1)^{3}\mathrm{d}\mathrm{x}=$$

Evaluate: $$\displaystyle \int_{\sqrt{8}}^{\sqrt{15}}x\sqrt{1+x^{2}}.dx$$

$$\displaystyle \int_{0}^{1}\frac{xdx}{(x^{2}+1)^{2}}=$$

Evaluate: $$\displaystyle \int_{0}^{\dfrac{\pi}{2}}e^{\sin^2 x}\sin 2xdx$$

$$\displaystyle \int_{0}^{4}\sqrt{16-x^{2}}d_{X}=$$

Find $$\displaystyle \int_{0}^{\frac{\pi}{2}}\frac{\sec^{2}xdx}{(\sec x+\tan x)^{n}}$$, where $$(\mathrm{n}>2)$$

$$\displaystyle \int_{0}^{\pi/2}\frac{d_{X}}{4\cos^{2}x+9\sin^{2}x}=$$