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Jee Main 2025 — Medium JEE math MCQ

Let \( I(x) = \int \frac{dx}{(x-11)(x+15)} \). If \( I(37) - I(24) = \frac{1}{4} \left( \frac{1}{\beta x} - \frac{1}{c x} \right) \), \( b, c \in \mathbb{N} \), then \( 3(b + c) \) is equal to
  1. A. 22 -
  2. B. 39 -
  3. C. 40 -
  4. D. 26

Solution

The correct option is **B**. (B. 39 -)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Let I(x)=∫dx(x−11)(x+15) I(x) = \int \frac{dx}{(x-11)(x+15)} . If I(37)−I(24)=14(1βx−1cx) I(37) - I(24) = \frac{1}{4} \left( \frac{1}{\beta x} - \frac{1}{c x} \right) , b,c∈N b, c \in \mathbb{N} , then 3(b+c) 3(b + c) is equal to
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