*sqrt(cos^(2)3x*tan V)

If y=cot^(-1)(sqrt(cos x))-tan^(-1)(sqrt(cos x)), prove that sin y=tan^(2)(x)/(2)

int(dx)/(3sqrt(cos^(12)x+3cos^(10)x+3cos^(8)x+cos^(6)x))=f(x)-(1)/(sqrt(2))tan^(-1)((f(x))/(sqrt(2)))+c

If I=int(sqrt(cot x)-sqrt(tan x))dx, then I equal sqrt(2)log(sqrt(tan x)-sqrt(cot x))+Csqrt(2)log|sin x|cos x+sqrt(sin2x)|+Csqrt(2)log|sin x-cos x+sqrt(2)sin x cos x|+sqrt(2)log|sin(x+(pi)/(4))+sqrt(2)sin x cos x|+C

If int \ sqrt(cos^3x/sin^11x) \ dx = -2(A tan^(9//2)x + B tan^(5//2) x) + C, then find A and B.

Evaluate int(tan(pi/4 -x))/(cos^(2)x sqrt(tan^(3)x+tan^(2) x+ tan x))dx .

int(tan((pi)/(4)-x))/(cos^(2)x sqrt(tan^(3)x+tan^(2)x+tan x))dx

The number of real solutions of tan^(-1)sqrt(x^(2)-3x+2)+cos^(-1)sqrt(4x-x^(2)-3)=pi is

The number of real solutions of tan^(-1)sqrt(x^(2)-3x+2)+cos^(-1)sqrt(4x-x^(2)-3)=pi is

If y=cot^(-1)(sqrt(cos"x"))-tan^(-1)(sqrt(cos"x")), prove that siny=tan^2x/2

If y=cot^(-1)(sqrt(cos"x"))-tan^(-1)(sqrt(cos"x")), prove that siny=tan^2x/2