[int sqrt(1+cosec x)dx" equal to "],[qquad [cos^(-1)(1-2sin x)+c],[sqrt(2)cos^(-1)sqrt(cos x)+c],[c-2sin^(-1)(1-2sin x)]]

intsqrt(1+cos e cx)dx equals (a) 2sin^(-1)sqrt(sinx)+c (b) sqrt(2)cos^(-1)sqrt(cosx)+c (c) c-2sin^(-1)(1-2sinx) (d) cos^(-1)(1-2sinx)+c

int sin x sqrt(1-cos2x)dx

int sin x sqrt(1+cos2x)dx

int sin x sqrt(1-cos2x)dx

The value of intsqrt(1+secx)dx is equal to (A) 2sin^-1(sqrt(2)sin(x/2))+c (B) 2cos^-1(sqrt(2)sin(x/2))+c (C) 2sin^-1(sqrt(2)cos(x/2))+c (D) none of these

The value of intsqrt(1+secx)dx is equal to (A) 2sin^-1(sqrt(2)sin(x/2))+c (B) 2cos^-1(sqrt(2)sin(x/2))+c (C) 2sin^-1(sqrt(2)cos(x/2))+c (D) none of these

int(1)/(sin x sqrt(sin x cos x))dx

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

int sqrt((x)/(1-x))dx is equal to 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

int sqrt((1-x)/(1+x))dx is equal to a) sin^(-1)x + sqrt(1 - x^(2)) + C b) sin^(-1) x - 2 sqrt(1 - x^(2)) + C c) 2 sin^(-1) x - sqrt(1 - x^(2)) + C d) sin^(-1)x - sqrt(1 - x^(2)) + C