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

The integrated rate expression for a first order reaction can be written as

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

the integrated rate equation for first order reaction A to products is given by

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

a) Derive and expression for the integrated rate equation for 1 first order reaction. b) Give an exmaple of pseudo first order reaction.