Derivatives vs integration

Find an anti derivative (or integral) of the following functions by the method of inspection. e^(2x)

Find an anti derivative (or integral) of the following functions by the method of inspection.cos 3x

Find an anti derivative (or integral) of the following functions by the method of inspection.sin 2x

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

Find an anti derivative (or integral) of the following functions by the method of inspection. (a x+b)^2

The integration of logx.

Definite Integration

Derive the integrated rate equation for first order reactions.

Fragmentation vs Regeneration

Derive integrated rated equation for rate constant of a first order reaction.