If you mean ∫ba0dx , it is equal to zero. This can be seen in a number of ways. Intuitively, the area under the graph of the null function is always zero, no matter over what interval we chose to evaluate it.

What is Antiderivative zero?

When speaking of indefinite integrals, the integral of 0 is just 0 plus the usual arbitrary constant, i.e., derivative. / | | 0 dx = 0 + C = C | / There's no contradiction here. ...

What is the double integral of 0?

That double integral is telling you to sum up all the function values of x2−y2 over the unit circle. To get 0 here means that either the function does not exist in that region OR it's perfectly symmetrical over it.