Maths Solve the Following Question.(2 Marks)

$\int_0^\pi\left(\sin ^{-1} x+\cos ^{-1} x\right)^3 \sin ^3 x d x$

$\int_0^{\pi / 2}[2 \log (\sin x)-\log (\sin 2 x)] d x$

$\int_0^1\left(\frac{1}{1+x^2}\right) \sin ^{-1}\left(\frac{2 x}{1+x^2}\right) d x$

$\int_0^{\pi / 4} \frac{\tan ^3 x}{1+\cos 2 x} d x$

$\int_0^{\infty} x \cdot e^{-x} \cdot d x$

$\int_0^4 \frac{1}{\sqrt{4 x-x^2}} \cdot d x$

$\int_{-4}^2 \frac{1}{x^2+4 x+13} \cdot d x$

$\int_0^{\pi / 4} \sqrt{1+\sin 2 x} \cdot d x$

$\int_0^{\pi / 4} \sin 4 x \sin 3 x \cdot d x$

$\int_2^3 \frac{1}{x^2+5 x+6} \cdot d x$

$\int_1^9 \frac{x+1}{\sqrt{x}} \cdot d x$

$\int_2^3 \frac{\cos (\log x)}{x} \cdot d x$

$\int_0^{\pi / 4} \sec ^4 x \cdot d x$

$\int_{-1}^1 \frac{1}{a^2 e^x+b^2 e^{-x}} \cdot d x$

$\int_0^{\pi / 2} \frac{1}{5+4 \cos x} \cdot d x$

$\int_0^{2 \pi} \sqrt{\cos x} \cdot \sin ^3 x \cdot d x$

$\int_0^{4 \pi} \frac{\sin 2 x}{\sin ^4 x+\cos ^4 x} \cdot d x$

$\int_0^1 t^2 \sqrt{1-t} \cdot d t$

$\int_{-a}^a \frac{x+x^3}{16-x^2} \cdot d x$

$\int_{-\pi / 4}^{\pi / 4} x^3 \cdot \sin ^4 x \cdot d x$

$\int_{-\pi / 2}^{\pi / 2} \log \left(\frac{2+\sin x}{2-\sin x}\right) \cdot d x$

$\int_0^{\pi / 2} \frac{\sin x-\cos x}{1+\sin x \cdot \cos x} \cdot d x$

$\int_0^1 \log \left(\frac{1}{x}-1\right) \cdot d x$

$\int_0^{\pi / 2} \log \tan x \cdot d x$