What is the integral from 1.5 to 5 of 0.2x ?

The integral from 1.5 to 5 of 0.2x is 2.275

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integral from 1.5 to 5 of 0.2x

\int_{1.5}^{5} 0.2 x d x

2.275

Solution steps

\int_{1.5}^{5} 0.2 x d x

Take the constant out:

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

= 0.2 \cdot \int_{1.5}^{5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{1.5}^{5}

= 0.2 [\frac{x ^{2}}{2}]_{1.5}^{5}

Simplify

= 0.2 [0.5 x^{2}]_{1.5}^{5}

Compute the boundaries:

11.375

= 0.2 \cdot 11.375

Simplify

= 2.275

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What is the integral from 1.5 to 5 of 0.2x ?
The integral from 1.5 to 5 of 0.2x is 2.275