VSA

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

SA

Evaluate : $\int_{0}^{\frac{\pi}{2}}e^{x }\sin x~dx$. OR Find: $\int\frac{1}{\cos(x-a)\cos(x-b)}dx$

SA

27. (b) OR: Evaluate: $\int_{-2}^{2}\frac{x^{2}}{1+5^{x}}dx$

MCQ_SINGLE

$\int\frac{1}{\sqrt{1+\cos 2x}}dx$ is equal to:

LA

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

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