Indefinite Integration _ JEE MAIN_020426_S2 - Competishun – Live JEE & NEET Courses and Exam Prep

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JEE Main 2026

02 - 04 2026 S2

Question

Let $f(x)=\int\left(\frac{x^2+2 x-15}{x^2}\right) \mathrm{d} x$. If $f(4)=14 \log _e(3)$ and $f(7)=\log _e\left(2^\alpha-3^\beta\right), \alpha, \beta \in \mathbf{N}$, then $\alpha+\beta$ is equal to :

Select the correct option:

A

31

B

37

C

39

D

41

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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