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Popular Calculus >

integral of x^3ex^4

Solution

\int x^{3} e x^{4} d x

Solution

\frac{e x ^{8}}{8} + C

Solution steps

\int x^{3} e x^{4} d x

Take the constant out:

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

= e \cdot \int x^{3} x^{4} d x

Simplify

x^{3} x^{4} : x^{7}

= e \cdot \int x^{7} d x

Apply the Power Rule

= e \frac{x ^{8}}{8}

Multiply fractions:

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

= \frac{e x ^{8}}{8}

Add a constant to the solution

= \frac{e x ^{8}}{8} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x^3ex^4 ?
The integral of x^3ex^4 is (ex^8)/8+C