Sketch Graph Of f(x)=||In|x||-2|
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f(x)=∣x−2∣+2 x⩽2
x2−2 x>2
f(x)=4−x x⩽2
x2−2 x>2
∫04f(x)dx=∫02(4−x)dx+∫24(x2−2)dx
∫04f(x)dx=4×(2−0)−2(22−0)+343−23−2×(4−2)
∴∫04f(x)dx=362
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