Integrals Test ...

$$\displaystyle \int \sec^{2}x.\text{cosec}^{2}xdx=$$

$$\int_{0}^{\pi /2} \sin^{4}x.\cos^{2}xd_{X=}$$

Evaluate the integral
$$\displaystyle \int_{1}^{3}\frac{d_{X}}{\sqrt{(x-1)(3-x)}}$$

$$\displaystyle \int_{0}^{\infty}\frac{dx}{(x+\sqrt{x^{2}+1})^{5}}=$$

Evaluate : $$\displaystyle \int\frac{\cot^{2}x}{(co\sec^{2}x+co\sec x)}d{x}$$

$$\displaystyle \int_{0}^{1}\sqrt{x(1-x)}dx=$$

$$\displaystyle \int_{0}^{a}\frac{x^{5}dx}{\sqrt{a^{2}-x^{2}}}=$$