What is the integral from 2 to 7 of 9x^2 ?

The integral from 2 to 7 of 9x^2 is 1005

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integral from 2 to 7 of 9x^2

\int_{2}^{7} 9 x^{2} d x

1005

Solution steps

\int_{2}^{7} 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_{2}^{7} x^{2} d x

Apply the Power Rule

= 9 [\frac{x ^{3}}{3}]_{2}^{7}

Compute the boundaries:

\frac{335}{3}

= 9 \cdot \frac{335}{3}

Simplify

= 1005

What is the integral from 2 to 7 of 9x^2 ?
The integral from 2 to 7 of 9x^2 is 1005