JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int_0^1 \sqrt{1-\cos x}

is equal to

View answer and explanation

Correct option: C

2 \sqrt{2}

Option C (

2 \sqrt{2}

) is correct because the integral of

\sqrt{1 - \cos x}

from 0 to

\pi

simplifies to

\sqrt{2} \int_0^{\pi} \sin \frac{x}{2} dx

, which evaluates to

2\sqrt{2}

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