Integration using u substitution

[thegoosegirl42]

Homework Statement

Evaluate the integral of (x+1)5^(x+1)^2

Homework Equations

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

 

[LCKurtz]

Homework Statement

Evaluate the integral of (x+1)5^(x+1)^2

Homework Equations

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

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 $\int a^x~dx$.