What is the integral from 0 to 4 of 1000x ?

The integral from 0 to 4 of 1000x is 8000

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integral from 0 to 4 of 1000x

\int_{0}^{4} 1000 x d x

8000

Solution steps

\int_{0}^{4} 1000 x d x

Take the constant out:

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

= 1000 \cdot \int_{0}^{4} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{4}

= 1000 [\frac{x ^{2}}{2}]_{0}^{4}

Compute the boundaries:

8

= 1000 \cdot 8

Simplify

= 8000

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What is the integral from 0 to 4 of 1000x ?
The integral from 0 to 4 of 1000x is 8000