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JEE Main 2017 Mathematics question

MathematicsIndefinite IntegrationJEE Main 2017

The integral is equal to:

Answer: (2)

Solution

Use the half-angle identity , so that

= Missing argument for \frac\frac12Missing argument for \frac\frac x2.

Then

= Missing argument for \frac\frac12Missing argument for \frac\frac x2 dx = Missing argument for \frac\frac12·2Missing argument for \frac\frac x2 = Missing argument for \frac\frac x2.

Evaluating between the limits,

[Missing argument for \frac\frac = -

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Question ID VK-115756