What is the integral from-2x to 2x of sqrt(3x+y) ?

The integral from-2x to 2x of sqrt(3x+y) is ((10sqrt(5)-2)x^{3/2})/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-2x to 2x of sqrt(3x+y)

\int_{- 2 x}^{2 x} 3 x + y d y

\frac{( 10 5 - 2 ) x ^{\frac{3}{2}}}{3}

Solution steps

\int_{- 2 x}^{2 x} 3 x + y d y

Apply u-substitution

: \int_{x}^{5 x} u d u

= \int_{x}^{5 x} u d u

Apply the Power Rule

: [\frac{2}{3} u^{\frac{3}{2}}]_{x}^{5 x}

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

Compute the boundaries:

\frac{10 5 - 2}{3} x^{\frac{3}{2}}

= \frac{10 5 - 2}{3} x^{\frac{3}{2}}

Simplify

= \frac{( 10 5 - 2 ) x ^{\frac{3}{2}}}{3}

\int_{1}^{3} \frac{( 3 x - y )}{5} d y

\int_{0}^{z} e^{- x^{2}} d x

\int_{- r}^{- r + d} r^{2} - y^{2} d y

\int_{- \infty}^{7} θ e^{θ} d θ

\int_{0}^{\frac{1}{7}} arccos (7 x) d x

What is the integral from-2x to 2x of sqrt(3x+y) ?
The integral from-2x to 2x of sqrt(3x+y) is ((10sqrt(5)-2)x^{3/2})/3