What is the integral from 3 to 3.5 of 2x ?

The integral from 3 to 3.5 of 2x is 3.25

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integral from 3 to 3.5 of 2x

\int_{3}^{3.5} 2 x d x

3.25

Solution steps

\int_{3}^{3.5} 2 x d x

Take the constant out:

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

= 2 \cdot \int_{3}^{3.5} x d x

Apply the Power Rule

= 2 [\frac{x ^{2}}{2}]_{3}^{3.5}

Simplify

= 2 [0.5 x^{2}]_{3}^{3.5}

Compute the boundaries:

1.625

= 2 \cdot 1.625

Simplify

= 3.25

What is the integral from 3 to 3.5 of 2x ?
The integral from 3 to 3.5 of 2x is 3.25