What is the integral from 0 to 1 of sqrt(5x+6) ?

The integral from 0 to 1 of sqrt(5x+6) is (22sqrt(11)-12sqrt(6))/(15)

Popular >

integral from 0 to 1 of sqrt(5x+6)

\int_{0}^{1} 5 x + 6 d x

\frac{22 11 - 12 6}{15}

Decimal Notation

2.90479 \dots

Solution steps

\int_{0}^{1} 5 x + 6 d x

Apply u-substitution

: \int_{6}^{11} \frac{u}{5} d u

= \int_{6}^{11} \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_{6}^{11} u d u

Apply the Power Rule

: [\frac{2}{3} u^{\frac{3}{2}}]_{6}^{11}

= \frac{1}{5} [\frac{2}{3} u^{\frac{3}{2}}]_{6}^{11}

Compute the boundaries:

\frac{22 11}{3} - 46

= \frac{1}{5} (\frac{22 11}{3} - 46)

Simplify

= \frac{22 11 - 12 6}{15}

\int_{1}^{4} 2 x^{2} d x

\int_{0}^{8} 8 x d x

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

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

\int_{0}^{1} x^{3} 1 + 3 x^{2} d x

What is the integral from 0 to 1 of sqrt(5x+6) ?
The integral from 0 to 1 of sqrt(5x+6) is (22sqrt(11)-12sqrt(6))/(15)