[" Prove by using definition of indefinite integral : "],[" (i) "int sin mxdx=-(cos mx)/(m)+c]

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"^(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 cos mx dx = (sin 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 sec^(2) mx dx = (tan mx )/m + c where m != 0 is a constant independent of x and c is an arbitrary constant .

Integrate : (i) int sin^(3) x cos^(5) x dx

Evaluate int sin mxdx

int sin mx cos nxdx,m!=n

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