JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

I = \int \limits_0^{1/2} \,\,\frac{1}{{\sqrt {1 - {x^{2n}}} }}\,\,dx

, then which one of the following is true?

View answer and explanation

Correct option: D

All of these

Option D (All of these) is correct because the integral I is bounded by

\frac{1}{2}

and

\frac{\pi}{6}

, and it is also greater than 0.

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