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Popular >

integral of e^x+x^2

Solution

\int e^{x} + x^{2} d x

Solution

e^{x} + \frac{x ^{3}}{3} + C

Solution steps

\int e^{x} + x^{2} 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} d x + \int x^{2} d x

\int e^{x} d x = e^{x}

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

= e^{x} + \frac{x ^{3}}{3}

Add a constant to the solution

= e^{x} + \frac{x ^{3}}{3} + C

Graph

Popular Examples

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x \to 0 lim (0)

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\frac{d}{d x} (3 x^{7})

integral from 4 to infinity of xe^{-x}

\int_{4}^{\infty} x e^{- x} d x

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f (r) = r + 7 r

integral of (2xe^{-3x})

\int (2 x e^{- 3 x}) d x

Frequently Asked Questions (FAQ)

What is the integral of e^x+x^2 ?
The integral of e^x+x^2 is e^x+(x^3)/3+C