Question Number 95624 by i jagooll last updated on 26/May/20
$$\overset{\mathrm{5}} {\int}_{\mathrm{1}} {x}\left(\int\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}\right)\:{dx}\:=\:\mathrm{24} \\ $$$$\overset{\mathrm{3}} {\int}_{\mathrm{1}} \left(\mathrm{2}−\mathrm{f}\left(\mathrm{x}\right)\right)\mathrm{dx}\:?\: \\ $$
Answered by Racoon last updated on 26/May/20
![∫f(x)dx=2⇒∫_1 ^3 [2−f(x)]dx=2(3−1)−2=2](Q95631.png)
$$\int\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}=\mathrm{2}\Rightarrow\int_{\mathrm{1}} ^{\mathrm{3}} \left[\mathrm{2}−\mathrm{f}\left(\mathrm{x}\right)\right]\mathrm{dx}=\mathrm{2}\left(\mathrm{3}−\mathrm{1}\right)−\mathrm{2}=\mathrm{2} \\ $$
Commented by PRITHWISH SEN 2 last updated on 26/May/20
$$\mathrm{how}\:\int\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}=\mathrm{2}\:?\: \\ $$