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" (ii) "int(0)^(1)x sqrt(1-x^(2))dx...

" (ii) "int_(0)^(1)x sqrt(1-x^(2))dx

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int_(0)^(1)x^(2)sqrt(1-x^(2))dx=

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int_(0)^(1)x^(3)sqrt(1-x^(2))dx=

int_(0)^(1)(sqrt(x))/(1+x^(2))dx

Let I_(n)=int_(0)^(1)x^(n)sqrt(1-x^(2))dx. Then lim_(nrarroo)(I_(n))/(I_(n-2))=

Let I_(n)=int_(0)^(1)x^(n)sqrt(1-x^(2))dx. Then lim_(nrarroo)(I_(n))/(I_(n-2))=

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Evaluate : int_(0)^(1) (x)/(sqrt(1+x^(2)))dx