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" 8."int(0)^(a)(dx)/(x+sqrt(a^(2)-x^(2))...

" 8."int_(0)^(a)(dx)/(x+sqrt(a^(2)-x^(2)))=(pi)/(4)

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Prove that : int_(0)^(a) (dx)/(x+sqrt(a^(2)-x^(2)))=(pi)/(4)

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I : int_(0)^(a)sqrt(a^2-x^(2))dx=pia^(2) II : int_(0)^(pi//4)(tan^(4)x+tan^(2)x)dx=1