# Integration using u substitution

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1. Mar 22, 2015

### thegoosegirl42

1. The problem statement, all variables and given/known data
Evaluate the integral of (x+1)5^(x+1)^2

2. Relevant equations

3. The attempt at a solution
I set my u=(x+1) making du=1dx. This makes it u*5^u^2. I integrated the first u to be ((x+1)^2/2) however I don't know what to do with the 5^u^2

2. Mar 22, 2015

### LCKurtz

You don't do integrals in pieces like that. Assuming that what you have is $\int u 5^{u^2}~du$ try another u type substitution $w = u^2$. You may need to review your integration formulas for $\int a^x~dx$.