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Popular Calculus >

integral of qe^q+q

Solution

\int q e^{q} + q d q

Solution

e^{q} q - e^{q} + \frac{q ^{2}}{2} + C

Solution steps

\int q e^{q} + q d q

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int q e^{q} d q + \int q d q

\int q e^{q} d q = e^{q} q - e^{q}

\int q d q = \frac{q ^{2}}{2}

= e^{q} q - e^{q} + \frac{q ^{2}}{2}

Add a constant to the solution

= e^{q} q - e^{q} + \frac{q ^{2}}{2} + C

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of qe^q+q ?
The integral of qe^q+q is e^qq-e^q+(q^2)/2+C