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Popular Calculus >

integral of-32x

Solution

\int - 32 x d x

Solution

- 16 x^{2} + C

Solution steps

\int - 32 x d x

Take the constant out:

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

= - 32 \cdot \int x d x

Apply the Power Rule

= - 32 \cdot \frac{x ^{2}}{2}

Simplify

- 32 \cdot \frac{x ^{2}}{2} : - 16 x^{2}

= - 16 x^{2}

Add a constant to the solution

= - 16 x^{2} + C

Graph

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\frac{d}{d x} (arctan (x) - \frac{π}{4})

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inverse oflaplace (10)/(2s+1)

in v erse l a pl a ce \frac{10}{2 s + 1}

integral of ((x+5))/((x^2+16))

\int \frac{( x + 5 )}{( x ^{2} + 16 )} d x

Frequently Asked Questions (FAQ)

What is the integral of-32x ?
The integral of-32x is -16x^2+C