Questions With Integral Calculus

1. Dec 5, 2011

DJChalf

1. The problem statement, all variables and given/known data

find the following integrals.

2. Relevant equations

1. ∫2x^3 sin(x^2)dx

2.∫ x(2x-3)^1/3dx

3. The attempt at a solution

Using U-Sub for number 2 i ended with ((3(2x-3)^7/3)/28)+((9(2x-3)^4/3)/16)+C

I apologize for the form but I'm new here and dont really know how all the notations work.

The answer I got for problem 2 just looked weird to me and when i try to check the work integrating on my TI-89 i get an error message saying "invalid implied multiply".

Problem 1 I am completely lost on I've tried using substitution but I'm having troubles with what term i should be using...

2. Dec 5, 2011

HallsofIvy

Staff Emeritus
For (1), first let u= x2, then use integratation by parts.

You have (2) correct.

3. Dec 5, 2011

ehild

Do you mean

$$\frac{3}{28}(2x-3)^{7/3}+\frac{9}{16}(2x-3)^{4/3}+C$$?

That is wrong.

ehild