anonymous
  • anonymous
Integrate e^(x/y) dx and Integrate e^(x/y) dy
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
What happens when you integrate \(e^{kx}\)? $$\int e^{kx}\,\mathrm{d}x=\frac1ke^{kx}+C$$Here, \(\dfrac1y\) is a constant w.r.t. \(x\) just like \(k\).
anonymous
  • anonymous
The latter is like $$\int e^{\frac1x}\,\mathrm{d}x$$which has no elementary representation... it can be written in terms of the http://en.wikipedia.org/wiki/Exponential_integral after integrating by parts.
anonymous
  • anonymous
Is the reason why you can't put ln up there is because it would cancel out the entire e?

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