Average Value of a Function
Displays the average number the function has within the interval [a,b]
Examples:
The average value of the function x^2 between the interval [2,0] is 4/3. This is found by multiplying the inverse of (2-0) by the integral x^2 from 0 to 2. The integral of x^2 is (1/3)(x^3). First, 2 must be plugged in for x so (1/3)(2^3) which is 8/3. Then 0 must be plugged in for x so (1/3)(0^3) is 0. Next, 0 must be subtracted from 8/3 and multiplied by the 1/2.
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The average value of the function sin(x) from 0 to pi is 2/pi. This is found by taking the inverse of (pi-0) then multiplied by the integral of the sin(x) from 0 to pi. The integral of the sin(x) is -cos(x). pi is then plugged in for x to get 1. Zero is then plugged in for x to get -1.1+1=2, 2x(1/pi) to equal 2/pi.
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