Recent content by aleao

What is the formula? I'm trying to study for tomorrow morning's final, doing these practice questions and papers are everywhere.

OK so for part d I'm running into a seemingly basic problem. I'm not sure how to integrate √(3x2+2) I'm just fried...

Got part b! Dx, you rock!

Could you walk me through this method, please? I'm taught to look at the equation and assign u and dv. Then derive u to get du and integrate dv to get v. The book says: Step 1: Choose functions u and v so that f(x)dx = u dv. Try to pick u so that du is simpler than u and a dv that is...

Aha! Great, now I got part a and edited up there. Thanks :)

Wouldn't the derivative of x^(1/2) = (1/2)x^(-1/2)?

Is \int e^{1-x} = e^{1-x} ? Edit: I'm only assuming this because \int e^{x} = e^{x} ... but now that I think about it... \int e^{1-x} = \frac {1}{1-x} e^{1-x+1} = \frac {1}{1-x} e^{x} right?

Formula for integration by parts: \int f(x)dx = \int u dv = uv - \int v du Use integration by parts to find the following integrals: a) \int x e^{1-x} dx b) \int_1^4 \frac {ln \sqrt x} {\sqrt x} dx c) \int_{-2}^1 (2x+1)(x+3)^{3/2} dx d) \int x^3 \sqrt{3x^2+2} dx Answers in back of the...