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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫cos⁡(ln⁡xa)dx\int \cos \left(\ln \frac{x}{a}\right) d x is equal to
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Correct option: B
x2(cos⁡(ln⁡xa)+sin⁡(ln⁡xa))+c\frac{x}{2}\left(\cos \left(\ln \frac{x}{a}\right)+\sin \left(\ln \frac{x}{a}\right)\right)+c
Option B (x2(cos⁡(ln⁡xa)+sin⁡(ln⁡xa)))+c\frac{x}{2}(\cos(\ln \frac{x}{a})+\sin(\ln \frac{x}{a}))) + c) is correct because it is the result of integrating cos⁡(ln⁡xa)\cos(\ln \frac{x}{a}) using integration by parts.

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