amurciano2 one year ago Can someone help me with this calc2 questions integral of x5^x dx. I know that you have to integrate by parts, but I am not sure how do to that with this problem.

1. IrishBoy123

you'll need this $$(5^x)' = 5^x .ln5$$ or $$\int 5^x \ dx = \ \frac{1}{ln5}.5^x$$ so set it up with $$u = x$$ and $$v' = 5^x$$ and plough away ask if help needed :p

2. dinamix

$x *\exp (x \ln5)$ will be easy for integral by parts @IrishBoy123

3. IrishBoy123

sweet as a nut, @dinamix !!

4. dinamix

i gave him easy metohd Mr. irish

5. dinamix

lol

6. amurciano2

How do you integrate 5^x/ln5

7. IrishBoy123

$$\large \int \frac{5^x}{ln5} = \frac {1}{ln5}\int 5^x$$ and i posted that integral in my first post :p