Question Number 31564 by akhilesh2684894@gmail.com last updated on 10/Mar/18
![If f(x) and g(x) are two integrable functions defined on [a, b], then ∣ ∫_a ^b f(x) g(x) dx ∣ is](Q31564.png)
$$\mathrm{If}\:{f}\left({x}\right)\:\mathrm{and}\:\:{g}\left({x}\right)\:\mathrm{are}\:\mathrm{two}\:\mathrm{integrable} \\ $$$$\mathrm{functions}\:\mathrm{defined}\:\mathrm{on}\:\left[{a},\:{b}\right],\:\mathrm{then} \\ $$$$\mid\:\underset{{a}} {\overset{{b}} {\int}}\:{f}\left({x}\right)\:{g}\left({x}\right)\:{dx}\:\mid\:\:\:\mathrm{is} \\ $$
Commented by MJS last updated on 10/Mar/18
$$\mathrm{no}\:\mathrm{general}\:\mathrm{solution}\:\mathrm{exists} \\ $$