Integration by parts
Indefinite integration · Mathematics
Study notes
Q: Evaluate the integral of x e^x dx. ILATE: x is Algebraic, e^x is Exponential. Take u = x, dv = e^x dx. du = dx, v = e^x. Integral = x e^x - integral of e^x dx = x e^x - e^x + C = e^x(x-1) + C.