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Popular >

integral of e*x^2

Solution

integral

e \cdot x^{2}

Solution

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

Solution steps

\int e x^{2} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= e \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Popular Examples

integral of e^{2x^2}integral

e^{2 x^{2}}

integral of x^2+6x integral

x^{2} + 6 x

integral of (3x+1)^3ln(3x+1)integral

(3 x + 1)^{3} ln (3 x + 1)

integral of ((4x+16))/((x^2+6x+13))integral

\frac{( 4 x + 16 )}{( x ^{2} + 6 x + 13 )}

integral of (2x+1)/x integral

\frac{2 x + 1}{x}

Frequently Asked Questions (FAQ)

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