Consider the following definite integral: I = \int ↙\stackrel{1}{0}⁡ { ( \sin ^{−1}x) ^{2}}/\sqrt{1−x^{2}}dx The value of the integral is

GATE Civil Engineering (CE) 2017 Shift 2 Solved Paper

Question : 37 of 65

Marks: +1, -0

Consider the following definite integral:

I = ∫ ↙{0}↖{1}⁡\;{\;(\ sin\;^{−1}x)\;^{2}}/{√{1−x^{2}}}dx

The value of the integral is

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