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Question

Multivariable Calculus Question on Functions of Two or Three Real Variables

The value of
∫01∫01−xcos⁡(x3+y2)dy dx−∫01∫01−xcos⁡(x3+y2)dx dy\int^1_0\int_0^{1-x}\cos(x^3+y^2)dy\ dx-\int^1_0\int_0^{1-x}\cos(x^3+y^2)dx\ dy
is

A

0

B

cos⁡(1)2\frac{\cos(1)}{2}

C

sin⁡(1)2\frac{\sin(1)}{2}

D

cos⁡(12)−sin⁡(12)\cos(\frac{1}{2})-\sin(\frac{1}{2})

Answer

0

Explanation

Solution

The correct option is (A) : 0.