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Popular Calculus >

integral of x^2n^2xx

Solution

\int x^{2} n^{2} xx d x

Solution

\frac{n ^{2} x ^{5}}{5} + C

Solution steps

\int x^{2} n^{2} xx d x

Take the constant out:

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

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

Simplify

x^{2} xx : x^{4}

= n^{2} \cdot \int x^{4} d x

Apply the Power Rule

= n^{2} \frac{x ^{5}}{5}

Multiply fractions:

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

= \frac{n ^{2} x ^{5}}{5}

Add a constant to the solution

= \frac{n ^{2} x ^{5}}{5} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x^2n^2xx ?
The integral of x^2n^2xx is (n^2x^5)/5+C