MCQ_SINGLE

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

MCQ_SINGLE

For a function \(f(x)\) which of the following holds true?

SA

Evaluate $\int_{1}^{e}\frac{1}{\sqrt{4x^{2}-(x\log x)^{2}}}dx$

SA

Find: $\int\frac{1}{x}\sqrt{\frac{x+a}{x-a}}dx$.

MCQ_SINGLE

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

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