Let I = ∫ (ex + 1)2 ex dxLet ex +1= t = ex dx = dtI = ∫ (ex + 1)2 ex dx= ∫ t2 dt= Now, substitute the value of tHence, I= +C

Q14 of 865 Page 19

∫ (e^x + 1)² e^x dx

Let I = ∫ (e^x + 1)² e^x dx

Let e^x +1= t = e^x dx = dt

I = ∫ (e^x + 1)² e^x dx

= ∫ t² dt

Now, substitute the value of t

Hence, I= +C