Question

if \(f(x)\) is undefined at \(x=a\) then \(\int_a^bf(x)dx=\lim_{t\to a}\int_t^bf(x)dx\)

Answer 1

and also for any function \(f\)
\[\int_a^{\infty}f(x)dx=\lim_{t\to \infty}\int_a^tf(x)dx\]

Answer 2

False!

Answer 3

i lie a lot

Answer 4

What if the function is undefined both at a and b?