How would I apply U-substitution to this? | Mathematics | Page 1

heavy tendon Sep 14, 2022, 10:28 PM

#

Please help!!!

tidal ermine Sep 14, 2022, 11:50 PM

#

is this your question

#

$\int{\frac{x^2}{5x^3+1}}dx$

keen crestBOT Sep 14, 2022, 11:51 PM

#

TimTamWimWam

tidal ermine Sep 14, 2022, 11:52 PM

#

if u=5x^3
du=15x^2dx

or dx=du/15x^2

#

the x^2 cancels out

#

and the 1/15 goes to front

#

$1/15\int{\frac{1}{u+1}}dx$

keen crestBOT Sep 14, 2022, 11:54 PM

#

TimTamWimWam

chilly sun Sep 15, 2022, 12:26 AM

#

Actually, you can make u the entire denominator.

tidal ermine Sep 15, 2022, 12:31 AM

#

good point

heavy tendon Sep 15, 2022, 4:15 PM

#

Yes

#

This is it

#

=close

#

+close

#

$close

#

?close

#

Yeah I just didn't realize you would take the derivative so the numerator cancels out

#How would I apply U-substitution to this?