SA

If $I_{1}=\int_{-\pi/4}^{\pi/4}\frac{dx}{1+\cos 2x}$ and $I_{2}=\int_{-1/2}^{1/2}|x|\,dx $, then show that $I_{1}-4I_{2}=0$.

SA

Evaluate: $\int_{1}^{3}(|x-1|+|x-2|+|x-3|)dx$

SA

Evaluate: $\int_{0}^{\frac{\pi}{4}}\frac{dx}{\cos^{3}x\sqrt{2\sin 2x}}$.

SA

Evaluate : $\int_{-2}^{2}\sqrt{\frac{2-x}{2+x}}dx$

LA

Evaluate: $\int_{0}^{\frac{\pi}{2}}sin~2x~tan^{-1}(sin~x)dx$

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