## satellite73 4 years ago if $$f(x)$$ is undefined at $$x=a$$ then $$\int_a^bf(x)dx=\lim_{t\to a}\int_t^bf(x)dx$$

1. anonymous

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

2. anonymous

False!

3. anonymous

i lie a lot

4. anonymous

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