What is the integral from 2sqrt(x) to 5-3x of 2y ?

The integral from 2sqrt(x) to 5-3x of 2y is 9x^2-34x+25

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2sqrt(x) to 5-3x of 2y

\int_{2 x}^{5 - 3 x} 2 y d y

9 x^{2} - 34 x + 25

Solution steps

\int_{2 x}^{5 - 3 x} 2 y d y

Take the constant out:

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

= 2 \cdot \int_{2 x}^{5 - 3 x} y d y

Apply the Power Rule

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

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

Compute the boundaries:

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

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

Simplify

= 9 x^{2} - 34 x + 25

\int_{0}^{x^{2}} x cos (π x) d x

\int_{0}^{3} (x + 3)^{2} d x

\int_{0}^{32} 5 x d x

\int_{0}^{4} 8 x - x^{2} d x

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

What is the integral from 2sqrt(x) to 5-3x of 2y ?
The integral from 2sqrt(x) to 5-3x of 2y is 9x^2-34x+25