Question Number 146744 by mathdanisur last updated on 15/Jul/21
$${if}\:\:\underset{\boldsymbol{{a}}} {\overset{\boldsymbol{{b}}} {\int}}{f}\left({x}\right){dx}\:=\:\mathrm{7}\:\:\:{and}\:\:\underset{\boldsymbol{{a}}} {\overset{\boldsymbol{{b}}} {\int}}\mathrm{4}\:{g}\left({x}\right){dx}\:=\:−\mathrm{6} \\ $$$${find}\:\:\:\underset{\boldsymbol{{a}}} {\overset{\boldsymbol{{b}}} {\int}}\left(\mathrm{3}\:{f}\left({x}\right)−\mathrm{8}\:{g}\left({x}\right)\right)\:{dx}\:=\:? \\ $$
Answered by liberty last updated on 15/Jul/21
$$\Rightarrow\mathrm{3}×\mathrm{7}−\mathrm{2}\left(−\mathrm{6}\right)=\mathrm{21}+\mathrm{12}=\mathrm{33} \\ $$
Commented by mathdanisur last updated on 15/Jul/21
$${thanks}\:{Ser} \\ $$