∫ 1 + cos x d x is equal to, 2 2 cos 2 x + C, 2 2 sin 2 x + C, 2 cos 2 x + C, 2 sin 2 x + C

Hints: ∫ 1 + cos x d x = 2 ∫ cos ( 2 x ) d x = 2 2 sin ( 2 x ) + c

∫ 1 + cos x d x is equal to

Question: Answered & Verified by Expert

$\int \sqrt{1+\cos x} d x$ is equal to

MathematicsIndefinite IntegrationWBJEEWBJEE 2010

Options:

Solution:

1537 Upvotes Verified Answer

The correct answer is: $2 \sqrt{2} \sin \frac{\mathrm{x}}{2}+\mathrm{C}$

Hints: $\int \sqrt{1+\cos x} d x=\sqrt{2} \int \cos \left(\frac{x}{2}\right) d x=2 \sqrt{2} \sin \left(\frac{x}{2}\right)+c$

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