Statement 1:  ∫exsin⁡xdx=ex2(sin⁡x−cos⁡x)+CStatement 2: If the integrand is the form of exf(x)+f′(x) then the integrals in exf(x)

Let I=∫exsin⁡xdx=−excos⁡x+∫excos⁡xdx=−excos⁡x+exsin⁡x−∫exsin⁡xdx+ 2I=ex(sin⁡x−cos⁡x)+C⇒ I=ex2(sin⁡x−cos⁡x)+CStatement 2: is also true but is not correct explanation ofstatement 1.