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Popular Calculus >

integral of 4x^3nxx

Solution

\int 4 x^{3} n xx d x

Solution

\frac{2 n x ^{6}}{3} + C

Solution steps

\int 4 x^{3} n xx d x

Take the constant out:

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

= 4 n \cdot \int x^{3} xx d x

Simplify

x^{3} xx : x^{5}

= 4 n \cdot \int x^{5} d x

Apply the Power Rule

= 4 n \frac{x ^{6}}{6}

Simplify

4 n \frac{x ^{6}}{6} : \frac{2 n x ^{6}}{3}

= \frac{2 n x ^{6}}{3}

Add a constant to the solution

= \frac{2 n x ^{6}}{3} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 4x^3nxx ?
The integral of 4x^3nxx is (2nx^6)/3+C