anonymous
  • anonymous
Need help on the next step of this definite integral
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
\[\int\limits_{1}^{2} 3x/\sqrt{4x+5} dx\] I used the u-sub of sqrt{4x+5}, u^2=4x+5 got 2udu=4dx and then udu=2dx. I feel like the next step is right in front of my eyes but I'm just not seeing it
dumbcow
  • dumbcow
when you sub in for dx, the u will cancel with the sqrt(4x+5) since it is equal to u replace x with (u^2 -5)/4 \[\rightarrow \frac{3}{8}\int\limits_{1}^{2}(u^{2}-5) du\]
anonymous
  • anonymous
Can I just pull the 3 out from the x like that?

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dumbcow
  • dumbcow
oh sorry i didn't see you responded yes you can, anytime it is a constant \[\int\limits_{?}^{?}n*x dx= n \int\limits_{?}^{?}x dx\]
anonymous
  • anonymous
np, gave me time to try to figure it all out, lol.

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