Question: int_a^b |f'(x)|dx (1)/(b-a)int_a^b f(x)dx int_a^b f^(')(x)dx (1)/(b-a)int_a^b f^(')(x)dx (f(b)-f(a))/(b-a) Average value of f(x) on a,b Displacement of f(x) on
\\\\int_a^b |f'(x)|dx\
(1)/(b-a)\\\\int_a^b f(x)dx\
\\\\int_a^b f^(')(x)dx\
(1)/(b-a)\\\\int_a^b f^(')(x)dx\
(f(b)-f(a))/(b-a)\ Average value of
f(x)on
a,b\ Displacement of
f(x)on
a,b\ Total distance traveled for
f(x)\ on
a,b\ Average rate of change of
f(x)\ on
a,b\ Given
f'(x), average velocity on\
a,b 
Match the idea with the formula to find it. abf(x)dxba1abf(x)dxabf(x)dxba1abf(x)dxbaf(b)f(a) 1. Average value of f(x) on [a,b] 2. Displacement of f(x) on [a,b] 3. Total distance traveled for f(x) on [a,b] 4. Average rate of change of f(x) on [a,b] 5. Given f(x), average velocity on [a,b] Match the idea with the formula to find it. abf(x)dxba1abf(x)dxabf(x)dxba1abf(x)dxbaf(b)f(a) 1. Average value of f(x) on [a,b] 2. Displacement of f(x) on [a,b] 3. Total distance traveled for f(x) on [a,b] 4. Average rate of change of f(x) on [a,b] 5. Given f(x), average velocity on [a,b]
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