What is the integral from 0 to 4 of xy ?

The integral from 0 to 4 of xy is x*8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 4 of xy

\int_{0}^{4} x y d y

x \cdot 8

Solution steps

\int_{0}^{4} x y d y

Take the constant out:

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

= x \cdot \int_{0}^{4} y d y

Apply the Power Rule

: [\frac{y ^{2}}{2}]_{0}^{4}

= x [\frac{y ^{2}}{2}]_{0}^{4}

Compute the boundaries:

8

= x \cdot 8

\int_{4}^{8} 6 d x

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

\int_{1}^{9} \frac{1}{2 x + 7} d x

\int_{0}^{7} 5 x d x

\int_{1}^{7} (\frac{5}{x} - e^{2 - 3 x}) d x