Every element of that substraction is a divergent improper integral and, thus, the whole operation is undefined.chessmath said:Hi
I would like to know what is ∫1/x^2-∫1/x^2 from 0 to 2.is it zero or undefined meaning that it is infinity ? (because each integral is undefined at zero).
An undefined integral refers to an integral that does not have a solution or an answer. This can happen when the function being integrated has a singularity or a discontinuity, or when the limits of integration are not defined.
A zero integral refers to an integral that evaluates to zero. This can happen when the function being integrated is an odd function and the limits of integration are symmetric about the origin, or when the function being integrated is always equal to zero within the given limits.
No, an undefined integral cannot have a finite value. If an integral is undefined, it means that it does not have a solution or an answer, and therefore, it cannot have a finite value.
No, a zero integral cannot have a non-zero value. If an integral evaluates to zero, it means that the area under the curve is zero, and therefore, the value of the integral must also be zero.
Undefined or zero integrals can arise in various fields of science and engineering, such as physics, chemistry, and engineering. For example, in physics, undefined or zero integrals can represent situations where the laws of physics break down, such as in the case of infinite mass or energy. In engineering, undefined or zero integrals can occur when analyzing systems with discontinuities, such as in electrical circuits or mechanical systems.