What is the integral from 0 to 10 of 3x ?

The integral from 0 to 10 of 3x is 150

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integral from 0 to 10 of 3x

\int_{0}^{10} 3 x d x

150

Solution steps

\int_{0}^{10} 3 x d x

Take the constant out:

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

= 3 \cdot \int_{0}^{10} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{10}

= 3 [\frac{x ^{2}}{2}]_{0}^{10}

Compute the boundaries:

50

= 3 \cdot 50

Simplify

= 150

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What is the integral from 0 to 10 of 3x ?
The integral from 0 to 10 of 3x is 150