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

The integral from 0 to 5 of x(5) is 125/2

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integral from 0 to 5 of x(5)

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

\frac{125}{2}

Decimal

62.5

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{25}{2}

= 5 \cdot \frac{25}{2}

Simplify

= \frac{125}{2}

\int_{0}^{5} (x 25 - x^{2}) d x

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What is the integral from 0 to 5 of x(5) ?
The integral from 0 to 5 of x(5) is 125/2