What is the integral from-1 to 2 of sqrt(5x+6) ?

The integral from-1 to 2 of sqrt(5x+6) is 42/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 2 of sqrt(5x+6)

\int_{- 1}^{2} 5 x + 6 d x

\frac{42}{5}

Decimal Notation

8.4

Solution steps

\int_{- 1}^{2} 5 x + 6 d x

Apply u-substitution

: \int_{1}^{16} \frac{u}{5} d u

= \int_{1}^{16} \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_{1}^{16} u d u

Apply the Power Rule

: [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{16}

= \frac{1}{5} [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{16}

Compute the boundaries:

42

= \frac{1}{5} \cdot 42

Simplify

= \frac{42}{5}

n = 1 \sum \infty (- 2)^{n} (x)^{n}

y^{^{''}} + 8 y^{^{'}} - 20 y = 0

\frac{\partial}{\partial y} (sin (x - y) + (x + y))

\frac{d y}{d x} = 6 y e^{x + 4}

What is the integral from-1 to 2 of sqrt(5x+6) ?
The integral from-1 to 2 of sqrt(5x+6) is 42/5