Question

how to apply the limit range in diff in integration​

Answer 1

Answer:

let xxrange from aa to xx when taking the integral of f(x)f(x)".

It is also ambiguous. There is a risk some people might expect∫xaf(x)dx=(x−a)f(x)∫axf(x)dx=(x−a)f(x) in the same way as ∫xaf(x)dt=(x−a)f(x)∫axf(x)dt=(x−a)f(x).

It is easier to show the problem as a sum. The sum of the first nn positive integers can be written ∑i=ni=1i=n(n+1)2∑i=1i=ni=n(n+1)2 but if you wrote it as ∑n1n∑1nn, some people might expect the answer to be n2n2. Meanwhile the following looks very strange

1+2+3+⋯+n+⋯+(n−1)+n