What is the integral from 2 to 3 of integral from 2 to 6 of (xye^{x+y}) ?

The integral from 2 to 3 of integral from 2 to 6 of (xye^{x+y}) is 10e^9-5e^8-2e^5+e^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 3 of integral from 2 to 6 of (xye^{x+y})

\int_{2}^{3} \int_{2}^{6} (x y e^{x + y}) d y d x

10 e^{9} - 5 e^{8} - 2 e^{5} + e^{4}

Decimal Notation

65883.82117 \dots

Solution steps

\int_{2}^{3} \int_{2}^{6} (x y e^{x + y}) d y d x

\int_{2}^{6} (x y e^{x + y}) d y = x (5 e^{x + 6} - e^{x + 2})

= \int_{2}^{3} x (5 e^{x + 6} - e^{x + 2}) d x

\int_{2}^{3} x (5 e^{x + 6} - e^{x + 2}) d x = 10 e^{9} - 5 e^{8} - 2 e^{5} + e^{4}

= 10 e^{9} - 5 e^{8} - 2 e^{5} + e^{4}

f (x) = \frac{x - 3}{2}

2 x y y^{^{'}} = x^{2} - y^{2}

x \to 0 lim (csc (6 x))

y^{^{'}} = 0.5 y - 450

\int_{1}^{2} (1 + 2 y) d y

What is the integral from 2 to 3 of integral from 2 to 6 of (xye^{x+y}) ?
The integral from 2 to 3 of integral from 2 to 6 of (xye^{x+y}) is 10e^9-5e^8-2e^5+e^4