(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]\int2x^3/2x^2+1[/tex]

2. Relevant equations

None

3. The attempt at a solution

I used substitution

u = 2x^2+1

du/dt = 4x

dt = du/4x

[tex]\int(2x^3/u)du/4x[/tex]

cancel out the x to get

[tex]\int(2x^2/u)du/4[/tex]

solve for 2x^2

u = 2x^2 + 1

2x^2 = u - 1

[tex]\int((u-1)/u)du/4[/tex]

[tex]\int(1/4)(1-1/u)du[/tex]

Im stuck, problem is this looks like its going to be a log, but we havent done logs in class so the answer he is looking for shouldn't be a log, am I going about this the wrong way or is his question wrong?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Integral substitution trouble

**Physics Forums | Science Articles, Homework Help, Discussion**