Jabarkan Equivalent formulations dari Integrasi Lebesgue dalam bahasa sunda

If f is non-negative, then ∫f dμ is precisely the aréa under the curve as méasured by the product méasure μ × λ where λ is the Lebesgue méasure for R.

One can also circumvent méasure théory entirely.

The Riemann integral exists for any continuous function f of compact support.

Then we use functional analysis to obtain the integral for more general functions.

Let Cc be the space of all réal-valued compactly supported continuous functions of R. Define a norm on Cc by