What is the integral from 3 to 6 of xy ?

The integral from 3 to 6 of xy is (27y)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 3 to 6 of xy

\int_{3}^{6} x y d x

\frac{27 y}{2}

Solution steps

\int_{3}^{6} x y d x

Take the constant out:

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

= y \cdot \int_{3}^{6} x d x

Apply the Power Rule

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

= y [\frac{x ^{2}}{2}]_{3}^{6}

Compute the boundaries:

\frac{27}{2}

= y \frac{27}{2}

Simplify

= \frac{27 y}{2}

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

\int_{- 2}^{2} x^{3} cos (\frac{x}{2}) + \frac{1}{2} 4 - x^{2} d x

\int_{0}^{\frac{π}{2}} 2 cos (t) d t

\int_{\frac{1}{2}}^{x} \frac{2}{t ^{2}} d t

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

What is the integral from 3 to 6 of xy ?
The integral from 3 to 6 of xy is (27y)/2