3 years ago

HELP ME PLEASEE ASAP!!!! PLEASEE

Mathematics

1 answer:

IgorC [24]3 years ago

7 0

288 or 363 I think : )

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The value of double integration can be found by applying limits and integrating them one by one.

<h3>What is integration?</h3>

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We have:

$\rm \int\limits \int\limits_R {ye^{-xy}} \, dA \ , R = [0,2]\times[0,3]$

After plugging limits:

$\rm \int\limits^3_0 \int\limits^2_0 {ye^{-xy}} \, dx dy\$

After solving the first integration:

$\rm \int\limits^3_0 {(-e^{-2y}+1)} \, dy\$

After solving the further integration and plugging limits:

$=\rm \dfrac{e^{-6}(5e^{6}+1)}{2}$

$\rm \int\limits \int\limits_R {ye^{-xy}} \, dA \ =\dfrac{e^{-6}(5e^{6}+1)}{2}$

Thus, the value of double integration can be found by applying limits and integrating them one by one.

Learn more about integration here:

brainly.com/question/18125359

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2 years ago

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im not sure

Step-by-step explanation:

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