A sequential first-order reaction is: AkAIkIP where A decay to an intermediate "I" that subsequently decays to the product "P". The rate law of the intermediate is given by dtd[I]=kA[A]kI[I] having the integral value of the reactant A,[A]=[A]0ekAt, use your math background and the initial conditions (at t=0, []0=0, to prove, in detail, that the integral equation of intermediate should be as follows: [I]=kIkAkA(ekAteklt)[A]0