SA

27. (a) Evaluate: $\int_{\pi/4}^{\pi/2}e^{2x}(\frac{1-\sin 2x}{1-\cos 2x})dx$

MCQ_SINGLE

8. $\int e^{5\log x}dx$ is equal to :

MCQ_SINGLE

If \( \int \frac{2^\frac{1}{x}}{x^2} dx = k \cdot 2^{\frac{1}{x}} + C, \) then \(k\) is equal to

SA

Find: $\int x^{2}\log(x^{2}+1)dx$

MCQ_SINGLE

\(\int_{-1}^{1} \frac{|x|}{x} \, dx, x \ne 0 \text{ is equal to}\)

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