sin^(p)x cos^(q)x

If sin x + cos x =p and sin^(3) x+ cos^(3) x =q . Then what is p^(3)-3p equal to ?

If p = sin^(2)x + cos^(4)x , then

If int(cos^(3)x+cos^(5)x)/(sin^(2)x+sin^(4)x)dx=p sinx-q/(sinx)-rtan^(-1)(sinx)+C then p+2q+r is equql to:

If int(cos^(3)x+cos^(5)x)/(sin^(2)x+sin^(4)x)dx=p sinx-q/(sinx)-rtan^(-1)(sinx)+C then p+2q+r is equql to:

int_( is equal to )^( Let )(cos^(3)x+cos^(5)x)/(sin^(2)x+sin^(4)x)dx=p sin x-(9)/(sin x)-r tan^(-1)(sin x)+Cthenp+2q+

Integration of some particular functions : int (sin 2x)/(p cos^(2) x+q sin^(2)x) dx=.....+c

If I=int(sin x+sin^(3)x)/(cos2x)dx=P cos x+Q log|f(x)|+R, then

If I=int(sin x+sin^(3)x)/(cos2x)dx=P cos x+Q log|f(x)|+R then (a)P=(1)/(2),Q=-(3)/(4sqrt(2))(b)P=(1)/(4),Q=(1)/(sqrt(2)) (c) f(x)=(sqrt(2)cos x+1)/(sqrt(2)cos x-1)(d)f(x)=(sqrt(2)cos x-1)/(sqrt(2)cos x+1)