- #1
Ravenatic20
- 30
- 0
[tex]\int_{1} ^{2e} x^2(ln x)^{2} dx[/tex]
I need to solve this using IbP. I made the following:
[tex]u = (ln x)^2[/tex]
[tex]du = (\frac{2 ln x}{x}) dx[/tex]
[tex]dv = x^2 dx[/tex]
[tex]v = \frac{x^3}{3}[/tex]
So I get:
[tex](ln x)^2 (\frac{x^3}{3}) \|_{1} ^{2e}[/tex][tex]- \int_{1} ^{2e} (\frac{x^3}{3}) 2 ln x dx[/tex]
(not sure how to make this look right)
Is this right?
Where do I go from here? Thanks
I need to solve this using IbP. I made the following:
[tex]u = (ln x)^2[/tex]
[tex]du = (\frac{2 ln x}{x}) dx[/tex]
[tex]dv = x^2 dx[/tex]
[tex]v = \frac{x^3}{3}[/tex]
So I get:
[tex](ln x)^2 (\frac{x^3}{3}) \|_{1} ^{2e}[/tex][tex]- \int_{1} ^{2e} (\frac{x^3}{3}) 2 ln x dx[/tex]
(not sure how to make this look right)
Is this right?
Where do I go from here? Thanks