Integral Calculus Question 288

Question: $ \int_{{}}^{{}}{( 2\sin x+\frac{1}{x} )\ dx} $ is equal to

[MP PET 1999]

Options:

A) $ -2\cos x+\log x+c $

B) $ 2\cos x+\log x+c $

C) $ -2\sin x-\frac{1}{x^{2}}+c $

D) $ -2\cos x+\frac{1}{x^{2}}+c $

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Answer:

Correct Answer: A

Solution:

$ \int_{{}}^{{}}{( 2\sin x+\frac{1}{x} ),dx=-2\cos x+\log x+c} $ .