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Evaluate
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Differentiate w.r.t. x
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\int e^{s}\mathrm{d}s
Evaluate the indefinite integral first.
e^{s}
Use \int e^{s}\mathrm{d}s=e^{s} from the table of common integrals to obtain the result.
e^{x^{\frac{1}{2}}}-e^{0}
The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.
e^{\sqrt{x}}-1
Simplify.