PhiPhenomenon said:Hey guys,
Can someone tell me why this integral isn't valid?
∫ v Δp = pv + C
Which is the same as saying y is a constant.Millennial said:Basically, [itex]\displaystyle \int y\,dx = yx + C \text{ iff }\frac{dy}{dx} = 0[/itex].
An invalid integral refers to a situation where the integral cannot be evaluated using standard mathematical methods. This can occur when the function being integrated is undefined or does not have a definite integral.
Yes, an integral can still be considered invalid even if it has a solution. This can happen if the solution involves complex numbers or if the function being integrated is discontinuous at certain points.
Some common reasons for an integral to be invalid include the function being undefined or discontinuous at certain points, the limits of integration being incorrect, or the function being too complex to be evaluated using standard methods.
If you are unsure if an integral is valid, you can check by using different methods of integration, such as substitution or integration by parts. If the integral still cannot be evaluated, it is likely to be invalid.
In some cases, an invalid integral can be fixed by using techniques such as partial fraction decomposition or changing the limits of integration. However, in other cases, the integral may simply not have a valid solution.