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

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

SA

Find: $\int x^{2}\cdot sin^{-1}(x^{3/2})dx$

MCQ_SINGLE

\(\int\frac{x+5}{(x+6)^{2}}e^{x}dx\) is equal to:

VSA

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

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