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Popular Calculus >

integral of x^22x

Solution

\int x^{2} 2 x d x

Solution

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

Solution steps

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

Take the constant out:

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

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

Simplify

x^{2} x : x^{3}

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

Apply the Power Rule

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

Simplify

2 \cdot \frac{x ^{4}}{4} : \frac{x ^{4}}{2}

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x^22x ?
The integral of x^22x is (x^4)/2+C