What is the integral from 1 to 5 of sqrt(5x+4) ?

The integral from 1 to 5 of sqrt(5x+4) is (58sqrt(29)-54)/(15)

Popular >

integral from 1 to 5 of sqrt(5x+4)

\int_{1}^{5} 5 x + 4 d x

\frac{58 29 - 54}{15}

Decimal Notation

17.22263 \dots

Solution steps

\int_{1}^{5} 5 x + 4 d x

Apply u-substitution

: \int_{9}^{29} \frac{u}{5} d u

= \int_{9}^{29} \frac{u}{5} d u

Take the constant out:

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

= \frac{1}{5} \cdot \int_{9}^{29} u d u

Apply the Power Rule

: [\frac{2}{3} u^{\frac{3}{2}}]_{9}^{29}

= \frac{1}{5} [\frac{2}{3} u^{\frac{3}{2}}]_{9}^{29}

Compute the boundaries:

\frac{58 29}{3} - 18

= \frac{1}{5} (\frac{58 29}{3} - 18)

Simplify

= \frac{58 29 - 54}{15}

\int_{0}^{2} (z^{4} - \frac{z ^{5}}{2}) d z

\int_{0}^{1} sin (θ) d θ

\int_{- 1}^{0} x^{2} + x d x

\int_{0}^{\frac{π}{2}} sin (φ) d φ

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

What is the integral from 1 to 5 of sqrt(5x+4) ?
The integral from 1 to 5 of sqrt(5x+4) is (58sqrt(29)-54)/(15)