" 1."x^(3)sin x

Evaluate: int(cos x)/((1-sin x)^(3)(2+sin x)dx)

Evaluate: int(1)/(x^(3))sin(log x)dx

Evaluate Lt_(x to 0)(log(1 + x^3))/(sin^3 x)

The Number of solutions of the equation (sin x-1)^(3)+(cos x-1)^(3)+(sin x)^(3)=(2sin x+cos x-2)^(3) in [0,2 pi] is a) 5 ,b) 2 ,c) 3, d) 4

Evaluate: \int_{0}^(pi) (sin^(-1) x + cos^(-1) x)^ 3 sin^3 x dx

Equation (1)/((x+1)^(3))-3x+sin x=0 has

Find number of roots of f(x) where f(x)=(1)/((x+1)^(3))-3x+sin x

Find the number of solutions of the equations (sin x - 1)^(3) + (cos x - 1)^(3) + ( sin x)^(3) = ( 2 sin x + cos x - 2)^(3) in ( 0, 2 pi) .