JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \mathrm{e}^{\mathrm{x}}\left(\frac{1-\sin \mathrm{x}}{1-\cos \mathrm{x}}\right) \mathrm{dx}

is equal to

View answer and explanation

Correct option: B

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

Option B (

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

) is correct because it is the result of integrating the given expression after simplification using trigonometric identities.

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