(sin x*cos^(3)x)/(1+cos^(2)x)

Integrate the following w.r.t. x: frac {sin x cos^3 x}{1+ cos^2x}

int(1)/(4sin^(2)x+3sin x cos x+2 cos^(2)x)dx=

If f_(n)(x) = (sin x)/(cos3x)+(sin 3x)/(cos 3^(2)x) +(sin 3^(2)x)/(cos 3^(3)x) +....+ (sin 3^(n-1)x)/(cos 3^(n)x)"Then" f_(2) ((pi)/(4)) + f_(3) ((pi)/(4))=

Prove that ((sin ^ (3) x) / (1 + cos x) + (cos ^ (3) x) / (1-sin x)) = sqrt (2) sin ((pi) / (4) + x)

The value of (2(sin2x+2cos^(2)x-1))/(cos x sin x cos3x+sin3x) is

3. (sin x+cos x)(1-sin x cos x)=sin^(3)x+cos^(3)x

Integrate the following: int{(5cos^3x+2sin^3 x)/(2sin^2 x*cos^2 x)+sqrt(1+sin2x)+(1+2sin x)/(cos^2x)+(1-cos2x)/(1+cos 2x)}dx

Prove that: (i) sin 3x+"sin" 2x-"sin" x = 4 sin x cos((x)/(2))cos((3x)/(2)) (ii) ("sin" 3x+"sin" x)"sin" x+(cos 3x-cos x)cos x=0.

int (sin ^ (2) x cos ^ (2) x) / ((sin ^ (5) x + cos ^ (3) x sin ^ (2) x + sin ^ (3) x cos ^ (2) x + cos ^ (5) x) ^ (2)) dx

int(sin^(2)x cos^(2)x)/((sin^(5)x+cos^(3)x sin^(2)x+sin^(3)x cos^(2)x+cos^(5)x)^(2))backslash dx