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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫1(2x−7)x2−7x+12dx\int \frac{1}{(2 x-7)\sqrt{x^2-7 x+12}} d x is equal to
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Correct option: B
sec⁡−1(2x−7)+C\sec ^{-1}(2 x-7)+C
Option B (sec⁡−1(2x−7)+C\sec ^{-1}(2 x-7)+C) is correct because the integral can be simplified to a standard inverse secant form by completing the square.

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