Find the average value of the function f ( x ) = 6 x 5 on the interval 0 ≤ x ≤ 3

Answer 1

The average is found by adding all the numbers up (in this case, values of the function) and then dividing by the number of numbers. The number of numbers is 3 - 0 or 3. The sum of the values of the function is found using the integral: ₀∫³ 6x⁵ dx = x⁶ evaluated between 0 and 3 = 3⁶ - 0⁶ = 3⁶ = 729. Now, divide the sum of the values (729) by the number of numbers (3) to get 243