A) 80
B) 100
C) 125
D) 200
Correct Answer: B
Solution :
\[f\left( 2-x \right)=f\left( 2+x \right)\Rightarrow \]function is symmetrical about x = 2 \[\And f\left( 4-x \right)=f\left( 4+x \right)\Rightarrow \]function is symmetrical about x - 4 \[\Rightarrow \]\[f(x)\]is periodic with period .2 \[\Rightarrow \]\[\int\limits_{10}^{50}{f(x)}dx=\int\limits_{2(5)}^{2(25)}{f(x)}dx=(25-5)\] \[\int\limits_{0}^{2}{f(x)}dx=20\times 5=100\]You need to login to perform this action.
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