DEFINITE INTEGRATION_ JEE MAIN_05-04-26_S2 - Competishun – Live JEE & NEET Courses and Exam Prep

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JEE MAIN 2026

05-04-26 S2

Question

Let $\left(2^{1-a}+2^{1+a}\right), f(a),\left(3^a+3^{-a}\right)$ be in A.P. and $\alpha$ be the minimum value of $f(a)$. Then the value of the integral $\int_{\log (\alpha-1)}^{\log (\alpha)} \frac{d x}{\left(e^{2 x}-e^{-2 x}\right)}$ is :

Select the correct option:

A

$\frac{1}{2} \log _e\left(\frac{4}{3}\right)$

B

$\frac{1}{4} \log _e\left(\frac{4}{3}\right)$

C

$\frac{1}{2} \log _e\left(\frac{8}{5}\right)$

D

$\frac{1}{4} \log _e\left(\frac{8}{5}\right)$

✓ Correct! Well done.

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Solution

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JEE Main

Mathematics

Medium

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