What is the integral from 0 to 5 of x/5 ?

The integral from 0 to 5 of x/5 is 5/2

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integral from 0 to 5 of x/5

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

\frac{5}{2}

Decimal

2.5

Solution steps

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

Take the constant out:

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

= \frac{1}{5} \cdot \int_{0}^{5} x d x

Apply the Power Rule

= \frac{1}{5} [\frac{x ^{2}}{2}]_{0}^{5}

Compute the boundaries:

\frac{25}{2}

= \frac{1}{5} \cdot \frac{25}{2}

Simplify

= \frac{5}{2}

\int_{0}^{2} \frac{x}{( 1 + x ^{2} )} d x

\int_{0}^{1} (2 x - x^{2}) - (x^{2}) d x

\int_{- \frac{1}{2}}^{\frac{1}{2}} x d x

\int_{3}^{6} \frac{1}{x - 2} d x

\int_{0}^{1} (x^{3} - x^{4}) d x

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