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Popular Calculus >

integral of-5x

Solution

\int - 5 x d x

Solution

- \frac{5 x ^{2}}{2} + C

Solution steps

\int - 5 x d x

Take the constant out:

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

= - 5 \cdot \int x d x

Apply the Power Rule

= - 5 \cdot \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{5 x ^{2}}{2}

Add a constant to the solution

= - \frac{5 x ^{2}}{2} + C

Graph

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Frequently Asked Questions (FAQ)

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