- #1
wetwilly92
- 8
- 0
#1
[tex]\int r^4 ( ln (r) ) dr[/tex]
Infinity algebra and Calc related formulae..
Not sure even where to start here.. I'm thinking a u-substitution, letting u = r^3 so that I can deal with the two left over r's, but I don't think that it would be valid algebra.
EDIT: I Think I got this one using integration by parts, but I'd still like to make sure..
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#2
[tex]\int 2t dt / (t^2 -6t + 9) [/tex]
Infinity algebra and Calc related formulae..
I tried partial fraction decomposition here, but I kept getting nonsensical solutions. How do I set this one up?
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#3
[tex]\int x sin^2 (x) [/tex]
Infinity algebra and Calc related formulae..
Here I tried integration by parts, with
x(x-2sin(2x)) / 4 - 1/4 [tex] \int x - 2sin 2x dx [/tex] + C which I also cannot integrate.
Thanks for any and all help!
Homework Statement
[tex]\int r^4 ( ln (r) ) dr[/tex]
Homework Equations
Infinity algebra and Calc related formulae..
The Attempt at a Solution
Not sure even where to start here.. I'm thinking a u-substitution, letting u = r^3 so that I can deal with the two left over r's, but I don't think that it would be valid algebra.
EDIT: I Think I got this one using integration by parts, but I'd still like to make sure..
---
#2
Homework Statement
[tex]\int 2t dt / (t^2 -6t + 9) [/tex]
Homework Equations
Infinity algebra and Calc related formulae..
The Attempt at a Solution
I tried partial fraction decomposition here, but I kept getting nonsensical solutions. How do I set this one up?
---
#3
Homework Statement
[tex]\int x sin^2 (x) [/tex]
Homework Equations
Infinity algebra and Calc related formulae..
The Attempt at a Solution
Here I tried integration by parts, with
x(x-2sin(2x)) / 4 - 1/4 [tex] \int x - 2sin 2x dx [/tex] + C which I also cannot integrate.
Thanks for any and all help!
Last edited: