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Popular Calculus >

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

= - 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

Graph

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(x^2-1)y^'+2xy^2=0

Frequently Asked Questions (FAQ)

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