Ask a New Question
Menu

Use integration by parts to solve:

I = f (x^3)(e^(x^2)) dx

(Let "f" represent the integral)

Let u = (e^(x^2)), dx = (1) / (2x(e^(x^2))) du

Let dv = x^3, v = (x^4) / (4)

I = (1/4)(x^4)(e^(x^2)) - (1/4) f (x^3) (2(e^(x^2))) du

... and now I don't know what to do. I don't know how to take the antiderivative of (e^(x^2)).

1 answer

You chose the wrong parts to break it up into. The integral of e^x^2 cannot be written in closed form. Use the fact that 2x e^x^2 is the derivative of e^x^2, and choose du = x e^x^2 dx,
u = (1/2)e^x^2
v = x^2
dv = 2x

The answer can be found at
http://www.karakas-online.de/forum/viewtopic.php?t=9515
Similar Questions
  1. I need help solving the integral of t * e^-3t dtI know that I have to solve using integration by parts and so I've let u=t to
    1. answers icon 2 answers
  2. What is the best method to evaluate the integral of 1/(4x^2-9) dxa) Integration by parts b) Rewrite the integral using long
    1. answers icon 1 answer
  3. That's the same as the integral of sin^2 x dx.Use integration by parts. Let sin x = u and sin x dx = dv v = -cos x du = cos x dx
    1. answers icon 0 answers
  4. I don't know if I did these problems correctly. Can you check them?Use Integration by parts to solve problems. integral
    1. answers icon 2 answers
more similar questions