Integral of e^(x/2) dx
The solution
Detail solution
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Let u=2x.
Then let du=2dx and substitute 2du:
∫2eudu
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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: 2eu
Now substitute u back in:
2e2x
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Now simplify:
2e2x
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Add the constant of integration:
2e2x+constant
The answer is:
2e2x+constant
The answer (Indefinite)
[src]
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| x x
| - -
| 2 2
| E dx = C + 2*e
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/
∫e2xdx=C+2e2x
The graph
−2+2e21
=
−2+2e21
Use the examples entering the upper and lower limits of integration.