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 .

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

Prove by using definition of indefinite integral : int "cosec"^(2) mx dx = - (cot mx)/m + c where m != 0 is a constant independent of x and c is an arbitrary constant .

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

Prove by using definition of indefinite integral : int sec^(2) mx dx = (tan mx )/m + c where m != 0 is a constant independent of x and c is an arbitrary constant .

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

Compute the following integrals: int sin mx dx

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

int sin mx cos nxdx,m!=n

The integral int((x)/(x sin x+cos x))^(2)" dx is equal to (where C is a constant of integration )

The integral int((x)/(x sin x+cos x))^(2)dx is equal to (where "C" is a constant of integration