`I=int cos^(2)((x)/(4))dx`

I=int(cos(x-a))/(cos x)dx

Evaluate: (i) int sqrt((1+cos2x)/(2))dx (ii) int sqrt((1-cos2x)/(2))dx

I=int(sin^(2)x-cos^(2)x)/(sin^(2)x*cos^(2)x)dx

Evaluate: (i) int(1)/(x^(2))cos^(2)((1)/(x))dx (ii) int sec^(4)x tan xdx

Evaluate: (i) int(1)/(x^(2)(x^(4)+1)^(3/4))dx (ii) int(sin^(5)x)/(cos^(4)x)dx

I=int(1)/(1-cos^(4)x)dx

Find the following integrals: ( i ) int(sin x+cos x)dx( ii) int cos ecx(cos ecx+cos x)dx( iii) int(1-sin x)/(cos^(2)x)dx

Evaluate: ( i int(cos x)/(1-cos x)dx or int(cot x)/(csc x-cot x)dx (ii) int(cos^(2)x-sin^(2)x)/(sqrt(1+cos4x))dx

Evaluate: (i) int tan^(-1)((sin2x)/(1+cos2x))dx( ii) int cos^(-1)(sin x)dx