Integrate the above expression with the initial condition

Question

For the reaction

(a) Write the differential rate equation for the dissipation of A.

(b) Integrate the above expression with the initial condition that at t = 0, [A]=[A]0, and obtain the equation for A as a function of time.

(c) If the rate constant is 2 h^-1, what is the half-life of the reaction?