What is the integral from-100 to 0 of-2ax ?

The integral from-100 to 0 of-2ax is 10000a

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integral from-100 to 0 of-2ax

\int_{- 100}^{0} - 2 a x d x

10000 a

Solution steps

\int_{- 100}^{0} - 2 a x d x

Take the constant out:

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

= - 2 a \cdot \int_{- 100}^{0} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{- 100}^{0}

= - 2 a [\frac{x ^{2}}{2}]_{- 100}^{0}

Compute the boundaries:

- 5000

= - 2 a (- 5000)

Simplify

= 10000 a

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What is the integral from-100 to 0 of-2ax ?
The integral from-100 to 0 of-2ax is 10000a