Integral of e^(x/y) dx
The solution
Detail solution
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Let u=yx.
Then let du=ydx and substitute duy:
∫yeudu
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The integral of a constant times a function is the constant times the integral of the function:
∫eudu=y∫eudu
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The integral of the exponential function is itself.
∫eudu=eu
So, the result is: yeu
Now substitute u back in:
yeyx
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Add the constant of integration:
yeyx+constant
The answer is:
yeyx+constant
The answer (Indefinite)
[src]
/
|
| x x
| - -
| y y
| E dx = C + y*e
|
/
∫eyxdx=C+yeyx
yey1−y
=
yey1−y
Use the examples entering the upper and lower limits of integration.