JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int e^x\left(\frac{1-\sin x}{1-\cos x}\right) d x=f(x)+

Constant, then

f(x)

is equal to

View answer and explanation

Correct option: C

-e^x \cot \left(\frac{x}{2}\right)+C

Option C (

-e^x \cot \left(\frac{x}{2}\right)+C

) is correct because the integral simplifies to this form after using trigonometric identities and recognizing the pattern of

e^x(f(x) + f'(x))

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