Calculate the following integral: I = &#x222C;<!-- ∬ --> <mrow class="MJX-TeXAtom-O

abbracciopj

abbracciopj

Answered question

2022-06-26

Calculate the following integral:
I = D 2 c o s ( ( x + y ) 2 ) d x d y ,

Answer & Explanation

ejigaboo8y

ejigaboo8y

Beginner2022-06-27Added 29 answers

As mentioned in comments, u = x + y , v = x  ) would work.
| J | = 1
Bounds of u is 1 u 3 as you mentioned. For bounds of v, note that x , y 0. So, v = x 0 and v u ( as, x x + y ,   given x , y 0)
This change of variables simplifies the integral.

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