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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫1log⁡a(axcos⁡ax)dx=\int \frac{1}{\log a}\left(a^x \cos a^x\right) d x=
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Correct option: C
1(log⁡a)2sin⁡ax+c\frac{1}{(\log a)^2} \sin a^x+c
Option C (1(log⁡a)2sin⁡ax+c\frac{1}{(\log a)^2} \sin a^x+c) is correct because it is the result of two substitutions and applying the integral of cosine.

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