What is the integral from 1 to 4 of 9x^2 ?

The integral from 1 to 4 of 9x^2 is 189

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integral from 1 to 4 of 9x^2

\int_{1}^{4} 9 x^{2} d x

189

Solution steps

\int_{1}^{4} 9 x^{2} d x

Take the constant out:

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

= 9 \cdot \int_{1}^{4} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{1}^{4}

= 9 [\frac{x ^{3}}{3}]_{1}^{4}

Compute the boundaries:

21

= 9 \cdot 21

Simplify

= 189

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What is the integral from 1 to 4 of 9x^2 ?
The integral from 1 to 4 of 9x^2 is 189