What is the integral from-2 to 0 of-cx ?

The integral from-2 to 0 of-cx is 2c

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integral from-2 to 0 of-cx

\int_{- 2}^{0} - c x d x

2 c

Solution steps

\int_{- 2}^{0} - c x d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Compute the boundaries:

- 2

= - c (- 2)

Simplify

= 2 c

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