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Popular Calculus >

integral of-x

Solution

integral

- x

Solution

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

Solution steps

\int - x d x

Take the constant out:

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

= - \int x d x

Apply the Power Rule

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

Add a constant to the solution

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

Graph

Popular Examples

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integral of 1/(sqrt(p))

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integral of 7/(xln(5x))

integral of sinh^3(4x)cosh(4x)

Frequently Asked Questions (FAQ)

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