A) 2
B) \[-3\]
C) 5
D) none of these
Correct Answer: D
Solution :
f\[\int\limits_{-1}^{-4}{f\left( x \right)dx=4}\operatorname{and}\int\limits_{2}^{-4}{\left( 3-f\left( x \right) \right)dx=7},\]\[\Rightarrow \int\limits_{-4}^{2}{f\left( x \right)dx=7+18=25}\] |
\[I=\int\limits_{-2}^{1}{f\left( -x \right)dx=\int\limits_{-1}^{2}{f\left( x \right)dx}}\] |
\[=\int\limits_{-1}^{-4}{f\left( x \right)+\int\limits_{-4}^{2}{f\left( x \right)dx=4+25}=29}\] |
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