anonymous
  • anonymous
1) sin(lnx)dx , from 1 to e
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
This is your problem?\[\int\limits_{1}^{e}\sin(lnx)dx\]
anonymous
  • anonymous
@Amum
anonymous
  • anonymous
yh

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anonymous
  • anonymous
I would recommend using substitution.
anonymous
  • anonymous
Substitute \[u=ln(x) =>du=\frac{1}{x}dx\] Find new bounds, and solve it from there.
ParthKohli
  • ParthKohli
for these bullcrap functions all I can think of is IBP
anonymous
  • anonymous
When you make the substitution you get: \[e^usin(u)\] To integrate that you would need to use the formular:\[\int\limits_{ }^{ }\exp (\alpha u)\sin(\beta u)du=\frac{ \exp(\alpha u)(-\beta \cos(\beta u)+\alpha \sin(\beta u)) }{ \alpha^2+\beta^2 }\]
anonymous
  • anonymous
Ok got it, thx

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