What is the integral from 0 to 100 of 9x ?

The integral from 0 to 100 of 9x is 45000

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integral from 0 to 100 of 9x

\int_{0}^{100} 9 x d x

45000

Solution steps

\int_{0}^{100} 9 x d x

Take the constant out:

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

= 9 \cdot \int_{0}^{100} x d x

Apply the Power Rule

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

= 9 [\frac{x ^{2}}{2}]_{0}^{100}

Compute the boundaries:

5000

= 9 \cdot 5000

Simplify

= 45000

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What is the integral from 0 to 100 of 9x ?
The integral from 0 to 100 of 9x is 45000