Derivative of integral

Find an anti derivative (or integral) of the following functions by the method of inspection.

Find an anti derivative (or integral) of the following functions by the method of inspection.

Find an anti derivative (or integral) of the following functions by the method of inspection.cos3x

Find an anti derivative (or integral) of the following functions by the method of inspection.sin2x

Find an anti derivative (or integral) of the following functions by the method of inspection.sin2x-4e^(3x)

Which of the following functions has its derivative and integral both equal ?

integrate

Physical integration of derivative of a point

Derive an integrated rate law expression for first order reaction: A to B + C

Derive the integrated rate law equation for the first order reaction and give its one use.