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Jee Main 2025 — Medium JEE math MCQ

If $f(x) = \int_{\frac{1}{x}}^{x^{1/4}(1+x^{1/4})} \frac{1}{dx}$, $f(0) = -6$, then $f
  1. A. $ is equal to: (1) $4 \log_e 2 - 2$
  2. B. $2 - \log_e x$
  3. C. $\log_e 2 + 2$
  4. D. $4 \log_e 2 + 2$

Solution

The correct option is **A**. (A. $ is equal to: (1) $4 \log_e 2 - 2$)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
If f(x)=∫1xx1/4(1+x1/4)1dxf(x) = \int_{\frac{1}{x}}^{x^{1/4}(1+x^{1/4})} \frac{1}{dx}, f(0)=−6f(0) = -6, then $f
AI hints
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep