Question

The integral $\int {\cos \left( {{{\log }_e}x} \right)dx} $ is equal to (where C is a constant of integration)

Accepted Answer

$\frac{x}{2}\left[ {\cos \left( {{{\log }_e}x} \right) + \sin \left( {{{\log }_e}x} \right)} \right] + C$

Answer

$x\left[ {\cos \left( {{{\log }_e}x} \right) + \sin \left( {{{\log }_e}x} \right)} \right] + C$

Answer

$x\left[ {\cos \left( {{{\log }_e}x} \right) - \sin \left( {{{\log }_e}x} \right)} \right] + C$

Answer

$\frac{x}{2}\left[ {\sin \left( {{{\log }_e}x} \right) - \cos \left( {{{\log }_e}x} \right)} \right] + C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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