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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫0∞6e3x+6e2x+11ex+6dx=\int\limits_{{0}}^{\infty} \frac{6}{e^{3 x}+6 e^{2 x}+11 e^{x}+6} d x=
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Correct option: A
log⁡e(3227)\log _{e}\left(\frac{32}{27}\right)
Option A (log⁡e(3227)\log_e(\frac{32}{27})) is correct because it is the result of evaluating the definite integral after performing partial fraction decomposition.

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