Let `F(x)=inte^(sin^(-1)x)(1-x/sqrt(1-x^2))dx` and `F(0)=1`, If `F(1/2)=(ksqrt(3)e^(pi/6))/pi`,...

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Channel: Doubtnut · 2018 · Education

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To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW Let `F(x)=inte^(sin^(-1)x)(1-x/sqrt(1-x^2))dx` and `F(0)=1`, If `F(1/2)=(ksqrt(3)e^(pi/6))/pi`, then the value of k is

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