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Popular >

integral of x^3e^2

Solution

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

Solution

\frac{e ^{2} x ^{4}}{4} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{4}}{4}

= e^{2} \frac{x ^{4}}{4}

Multiply fractions:

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

= \frac{e ^{2} x ^{4}}{4}

Add a constant to the solution

= \frac{e ^{2} x ^{4}}{4} + C

Popular Examples

integral of (1+t)^2

\int (1 + t)^{2} d t

tangent of 2/(sqrt(x+5)),\at x=4 tangent of

\frac{2}{x + 5}, at x = 4

tangent of f(x)=2x^2-x-3,\at x=1 tangent of

f (x) = 2 x^{2} - x - 3, at x = 1

derivative of y=sqrt(2-6x)derivative of

y = 2 - 6 x

derivative of y=(2x+4)/(1-x)derivative of

y = \frac{2 x + 4}{1 - x}

Frequently Asked Questions (FAQ)

What is the integral of x^3e^2 ?
The integral of x^3e^2 is (e^2x^4)/4+C