A) 2
B) ? 3
C) ? 5
D) None of these
Correct Answer: C
Solution :
We have \[\int_{2}^{4}{(3-f(x))dx=7\Rightarrow 6-\int_{2}^{4}{f(x)dx=7}}\] Þ \[\int_{2}^{4}{f(x)dx=-1}\]. Now, \[\int_{2}^{-1}{f(x)dx=-\int_{-1}^{2}{f(x)dx=-\left[ \int_{-1}^{4}{f(x)dx+\int_{4}^{2}{f(x)dx}} \right]}}\] \[=-\left[ \int_{-1}^{4}{f(x)dx-\int_{2}^{4}{f(x)dx}} \right]=-(4+1)=-5\].You need to login to perform this action.
You will be redirected in
3 sec