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Popular Calculus >

integral of (15x^4)

Solution

\int (15 x^{4}) d x

Solution

3 x^{5} + C

Solution steps

\int 15 x^{4} d x

Take the constant out:

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

= 15 \cdot \int x^{4} d x

Apply the Power Rule

= 15 \cdot \frac{x ^{5}}{5}

Simplify

15 \cdot \frac{x ^{5}}{5} : 3 x^{5}

= 3 x^{5}

Add a constant to the solution

= 3 x^{5} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (15x^4) ?
The integral of (15x^4) is 3x^5+C