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" (viii) "sin^(-1)sqrt(x)...

" (viii) "sin^(-1)sqrt(x)

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int sin^(-1)sqrt(x)

int sin^(-1)(sqrt(x))dx

sin^(-1)[sqrt(x/(a+x))]=

intsqrt(x/(1-x))\ dx is equal to (a) sin^(-1)sqrt(x)+C (b) sin^(-1){sqrt(x)-sqrt(x(1-x))}+C (c) sin^(-1){sqrt(x(1-x))}+C (d) sin^(-1)sqrt(x)-sqrt(x(1-x))+C

sin^(-1)[sqrt(x^(2)-x^(3))-sqrt(x-x^(3))]=..... a) sin^(-1)x+sin^(-1)sqrt(x) b) sin^(-1)x-sin^(-1)sqrt(x) c) sin^(-1)sqrt(x)-sin^(-1)x d) 2sin^(-1)x

Evaluate :int sin^(-1)sqrt((x)/(x+a))

The function sin^(-1)sqrt(x) is defined in the interval