(tan^(4)sqrt(x)sec^(2)sqrt(x))/(sqrt(x))

int(tan^4sqrt(x)sec^2sqrt(x))/(sqrt(x))dx

int(tan sqrt(x)sec^(2)sqrt(x))/(sqrt(x))dx

int(tan^4sqrt(x)sec^2sqrt(x))/(sqrt(x))dx =

Integrate the following functions w.r.t. x: (i) sin mx (ii) 2xsin(x^2+1) (iii) (tan^4sqrt(x)sec^2sqrt(x))/(sqrt(x)) (iv) (sin(tan^(-1)x)/(1+x^2)

Evaluate: int(tan^4sqrt (x)sec^2sqrt (x))/sqrt (x)dx

Intergrate (tan^4sqrt(x)sec^2sqrt(x))/sqrt(x) with respect to x.

int(tansqrt(x)sec^2sqrt(x))/(sqrt(x)) dx

Evaluate: (i) int(sec^(2)sqrt(x))/(sqrt(x))dx (ii) int tan^(3)2x sec2xdx

If tan^(-1) sqrt((1-sqrt(x))/(1+sqrt(x))) = (pi)/(4)-(alpha)/(2) , then express tan^(2)alpha in terms of x.

Prove that: tan^(-1)[(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x+sqrt(1-x)))]=(pi)/(4)-(1)/(2)cos^(-1)x,quad -(1)/(sqrt(2))<=x<=1