Integral of e^(3*x) dx
The solution
Detail solution
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Let u=3x.
Then let du=3dx and substitute 3du:
∫3eudu
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The integral of a constant times a function is the constant times the integral of the function:
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The integral of the exponential function is itself.
∫eudu=eu
So, the result is: 3eu
Now substitute u back in:
3e3x
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Add the constant of integration:
3e3x+constant
The answer is:
3e3x+constant
The answer (Indefinite)
[src]
/
| 3*x
| 3*x e
| E dx = C + ----
| 3
/
∫e3xdx=C+3e3x
The graph
−31+3e3
=
−31+3e3
Use the examples entering the upper and lower limits of integration.