Question

) ∫_(-1)^2 ∫_0^6▒〖x² sin⁡(x-y)dxdy= 〗 ∫_0^6 ∫_(-1)^2▒〖x^2 sin⁡(x-y)dydx〗
determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

Answer 1

It is illegible. I see backwards parentheses, unexplained shaded areas and cryptic ⁡ symbols.

I suggest you make the changes
(-1)^2 = 1 and
0^6 = 1
Then it looks like you will comparing two indefinite double integrals with the order of integration reversed.

Answer 2

If that really is a 0^6 on both sides of your equation, that number can be replaced by zero. (NOT 1)

That would make both sides of the equation zero, and the equation valid.

I am sorry about that error, and ashamed of myself.