MCQ_SINGLE

\(\int\frac{\cos 2x-\cos 2\alpha}{\cos x-\cos \alpha}dx\) is equal to:

SA

Evaluate $\int_{0}^{\frac{\pi}{2}}[\log(\sin~x)-\log(2\cos~x)]dx.$

LA

Find: $\int\frac{x^{2}+1}{(x-1)^{2}(x+3)}dx$.

VSA

Given $\frac{d}{dx}F(x)=\frac{1}{\sqrt{2x-x^{2}}}$ and $F(1)=0$, find $F(x)$.

MCQ_SINGLE

\(\int\sqrt{1+\sin x}dx\) is equal to :

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