Question Number 23432 by gopikrishnan005@gmail.com last updated on 30/Oct/17
$$\int_{\mathrm{0}} ^{{a}} {f}\left({x}\right){dx}= \\ $$
Answered by Joel577 last updated on 31/Oct/17
![Let F(x) is an anti derivative of f(x) I = ∫_0 ^a f(x) dx = [F(x)]_0 ^a = F(a) − F(0)](https://www.tinkutara.com/question/Q23452.png)
$$\mathrm{Let}\:{F}\left({x}\right)\:\mathrm{is}\:\mathrm{an}\:\mathrm{anti}\:\mathrm{derivative}\:\mathrm{of}\:{f}\left({x}\right) \\ $$$${I}\:=\:\underset{\mathrm{0}} {\overset{{a}} {\int}}\:{f}\left({x}\right)\:{dx}\:=\:\left[{F}\left({x}\right)\right]_{\mathrm{0}} ^{{a}} \:=\:{F}\left({a}\right)\:−\:{F}\left(\mathrm{0}\right) \\ $$