What is the integral from 0 to 20 of 2x ?

The integral from 0 to 20 of 2x is 400

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integral from 0 to 20 of 2x

\int_{0}^{20} 2 x d x

400

Solution steps

\int_{0}^{20} 2 x d x

Take the constant out:

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

= 2 \cdot \int_{0}^{20} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{20}

= 2 [\frac{x ^{2}}{2}]_{0}^{20}

Compute the boundaries:

200

= 2 \cdot 200

Simplify

= 400

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What is the integral from 0 to 20 of 2x ?
The integral from 0 to 20 of 2x is 400