Integral of eue^{u}

The calculator will find the integral/antiderivative of eue^{u}, with steps shown.

Related calculator: Definite and Improper Integral Calculator

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Your Input

Find eudu\int e^{u}\, du.

Solution

The integral of the exponential function is eudu=eu\int{e^{u} d u} = e^{u}:

eudu=eu{\color{red}{\int{e^{u} d u}}} = {\color{red}{e^{u}}}

Therefore,

eudu=eu\int{e^{u} d u} = e^{u}

Add the constant of integration:

eudu=eu+C\int{e^{u} d u} = e^{u}+C

Answer

eudu=eu+C\int e^{u}\, du = e^{u} + CA