(1)/((sin x-2cos x)(2sin x+cc)

Evaluate: int(1)/((sin x-2cos x)(2sin x+cos x))dx

(1+sin x+cos x)^(2)=2(1+sin x)(1+cos x)

((sin x+cos x)^(2))/((sin x-cos x)^(2))

Prove that (1 + sin x-cos x) / (1 + sin x + cos x) + (1 + sin x + cos x) / (1 + sin x-cos x) = 2cos ecx

Ltquad x rarr0 (1-cos ^ (2) (sin x) -cos (sin ^ (2) x) + cos ^ (2) (sin x) cos (sin ^ (2) x)) / (x ^ ( 6)) =

(sin x + cos x)^2 + (sin x - cos x)^2

if a=(1+sin x)/(1-cos x+sin x) then (1+cos x+sin x)/(2sin x) is

f(x)=sqrt(sin(cos x))+ln(-2cos^(2)x+3cos x+1)+e^(cos^(-1))((2sin x+1)/(2sqrt(2sin x)))

int (sin x * e ^ (cos x) - (sin x + cos x) e ^ (sin x + cos x)) / (e ^ (2sin x) -2e ^ (sin x) +1) dx

("sin x - cos x")^(2) =1- sin 2x