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Popular Calculus >

integral of ex^2+pi

Solution

\int e x^{2} + π d x

Solution

\frac{e x ^{3}}{3} + π x + C

Solution steps

\int e x^{2} + π d x

Apply the Sum Rule:

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

= \int e x^{2} d x + \int π d x

\int e x^{2} d x = \frac{e x ^{3}}{3}

\int π d x = π x

= \frac{e x ^{3}}{3} + π x

Add a constant to the solution

= \frac{e x ^{3}}{3} + π x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of ex^2+pi ?
The integral of ex^2+pi is (ex^3)/3+pix+C