Exams › JEE Main › Maths
If ∫ (6x + 7)/√((x−5)(x−4)) dx is written in the form A√(x^2 − 9x + 20) + B log|x + √(x^2 − 9x + 20) − 9/2| + C, then the values of A and B are
- 6, 34
- 3, 9
- 12, 17
- None of these
Correct answer: 12, 17
Solution
The correct option is right because the integral can be simplified and expressed in terms of a linear combination of a square root and a logarithmic function, where the coefficients A and B correspond to the specific values derived from the integration process.
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