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Popular Calculus >

integral of 4x^5

Solution

\int 4 x^{5} d x

Solution

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

Solution steps

\int 4 x^{5} d x

Take the constant out:

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

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

Apply the Power Rule

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

Simplify

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 4x^5 ?
The integral of 4x^5 is (2x^6)/3+C