Questions With Integral Calculus

[DJChalf]

Homework Statement

find the following integrals.

Homework Equations

1. ∫2x^3 sin(x^2)dx

2.∫ x(2x-3)^1/3dx

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 don't 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...

 

[HallsofIvy]

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

You have (2) correct.

 

[ehild]

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

Do you mean

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

That is wrong.

ehild