What is the integral from 1.5 to 2 of 3/8 x^2 ?

The integral from 1.5 to 2 of 3/8 x^2 is 0.578125

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integral from 1.5 to 2 of 3/8 x^2

\int_{1.5}^{2} \frac{3}{8} x^{2} d x

0.578125

Solution steps

\int_{1.5}^{2} \frac{3}{8} x^{2} d x

Take the constant out:

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

= \frac{3}{8} \cdot \int_{1.5}^{2} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{1.5}^{2}

= \frac{3}{8} [\frac{x ^{3}}{3}]_{1.5}^{2}

Simplify

= 0.375 [0.33333 \dots x^{3}]_{1.5}^{2}

Compute the boundaries:

1.54166 \dots

= 0.375 \cdot 1.54166 \dots

Simplify

= 0.578125

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What is the integral from 1.5 to 2 of 3/8 x^2 ?
The integral from 1.5 to 2 of 3/8 x^2 is 0.578125