What is the integral from 2 to 5 of 5x ?

The integral from 2 to 5 of 5x is 105/2

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integral from 2 to 5 of 5x

\int_{2}^{5} 5 x d x

\frac{105}{2}

Decimal Notation

52.5

Solution steps

\int_{2}^{5} 5 x d x

Take the constant out:

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

= 5 \cdot \int_{2}^{5} x d x

Apply the Power Rule

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

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

Compute the boundaries:

\frac{21}{2}

= 5 \cdot \frac{21}{2}

Simplify

= \frac{105}{2}

\int_{- 2}^{2} (10 x^{9} + 25 x^{21}) d x

\int_{0}^{4} 25 - x^{2} d x

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

\int_{0}^{x} e^{2 t} d t

\int_{- 3}^{3} - \frac{5}{x ^{3}} d x

What is the integral from 2 to 5 of 5x ?
The integral from 2 to 5 of 5x is 105/2