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Popular >

integral of 5x^4

Solution

\int 5 x^{4} d x

Solution

x^{5} + C

Solution steps

\int 5 x^{4} d x

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{5}}{5}

= 5 \cdot \frac{x ^{5}}{5}

Simplify

5 \cdot \frac{x ^{5}}{5} : x^{5}

= x^{5}

Add a constant to the solution

= x^{5} + C

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Frequently Asked Questions (FAQ)

What is the integral of 5x^4 ?
The integral of 5x^4 is x^5+C