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Popular >

integral of ex^2

Solution

\int e x^{2} d x

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

derivative of e^{t/9}cos(t/9)derivative of

e^{\frac{t}{9}} cos (\frac{t}{9})

integral of (8x+1)/(x^2+1)

\int \frac{8 x + 1}{x ^{2} + 1} d x

tangent of f(x)= 8/x ,\at x=5 tangent of

f (x) = \frac{8}{x}, at x = 5

y^{''}+y=9sin(x)

y^{^{''}} + y = 9 sin (x)

derivative of 40ln(3x+1)-x/3 derivative of

40 ln (3 x + 1) - \frac{x}{3}

Frequently Asked Questions (FAQ)

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