What is the integral from 0 to 5 of x(3) ?

The integral from 0 to 5 of x(3) is 75/2

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integral from 0 to 5 of x(3)

\int_{0}^{5} x (3) d x

\frac{75}{2}

Decimal

37.5

Solution steps

\int_{0}^{5} x \cdot 3 d x

Take the constant out:

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

= 3 \cdot \int_{0}^{5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{5}

= 3 [\frac{x ^{2}}{2}]_{0}^{5}

Compute the boundaries:

\frac{25}{2}

= 3 \cdot \frac{25}{2}

Simplify

= \frac{75}{2}

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What is the integral from 0 to 5 of x(3) ?
The integral from 0 to 5 of x(3) is 75/2