What is the integral from 1 to 2 of 1.5x ?

The integral from 1 to 2 of 1.5x is 2.25

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integral from 1 to 2 of 1.5x

\int_{1}^{2} 1.5 x d x

2.25

Solution steps

\int_{1}^{2} 1.5 x d x

Take the constant out:

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

= 1.5 \cdot \int_{1}^{2} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{1}^{2}

= 1.5 [\frac{x ^{2}}{2}]_{1}^{2}

Simplify

= 1.5 [0.5 x^{2}]_{1}^{2}

Compute the boundaries:

1.5

= 1.5 \cdot 1.5

Simplify

= 2.25

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What is the integral from 1 to 2 of 1.5x ?
The integral from 1 to 2 of 1.5x is 2.25