Integral of exp(4x) dx
The solution
Detail solution
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Let u=4x.
Then let du=4dx and substitute 4du:
∫4eudu
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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: 4eu
Now substitute u back in:
4e4x
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Add the constant of integration:
4e4x+constant
The answer is:
4e4x+constant
The answer (Indefinite)
[src]
/
| 4*x
| 4*x e
| e dx = C + ----
| 4
/
∫e4xdx=C+4e4x
The graph
Use the examples entering the upper and lower limits of integration.