" (i) "sin mx

Evaluate underset(x rarr 0)(lim) (sin mx)/(sin nx)

Evaluate the following integrals: int sin mx sin nx dx

Evaluate the following inegrals int sin mx sin nx dx

Compute the following integrals: int sin mx dx

Integrate: int sin mx cos nxdx,m!=n

If m!=n where m,n are positive integers,then int sin mx sin nxdx=

Area bounded by one arch of the curve y=sin sin mx(m>0) and the x -axis is

Prove by using definition of indefinite integral : int sin mx dx = - (cos mx)/m + c where m != 0 is a constant independent of x and c is an arbitrary constant .

Consider the integral I_(m) = int_(0)^(pi) (sin2mx)/(sinx ) dx , where m is a positive integer. What is I_(m) equal to ?