`intcosx/(1+9sin^2x)dx`

Evaluate: intcosx/(1+sin^2x)dx

intcosx/(4+sin^2x)dx=?

intcosx/(3+sin^2x)dx=?

Evaluate: intcosx/(1+sinx)^2dx

intcosx/(sinx+cosx)dx

Evaluate intcosx/sqrt (1+sinx)dx

int(cos x)/(9-sin^(2)x)dx

int_(0)^(pi/4)(sin x+cos x)/(9+16 sin 2x)dx

intcosx/(2sinx+3cosx)dx

If intcosx/(sin^(2/3)x+sin^(3/4)x)dx=P sin^(1/4)x+Qsin^(1/6)x+Rsin^(1/12)x-12log(1+sin^(1/12)x)+C, then the value of P+Q+R is