Ask a New Question

Asked by Jamie

Write the following function as the sum of an odd and an even function. Then calculate the integral over the given interval using the properties of odd and even functions.

(x-1)^3, I=[-1,1]
8 years ago

Answers

Answered by Anonymous
x(x^2-2x+1)
-1(x^2-2x+1)

= x^3 - 2x^2 + x - x^2 + 2x - 1

= (x^3 + 3x)odd ( -3x^2 -1) even

the odd part will give zero (+ on one side of x = 0 and - on the other)
so
-x^3 - x = - (x^3+x)so (x^3+x) at -1 - at +1
-1-1 - 1-1 = -4
8 years ago

Related Questions

Write the function f(x)= 2x^2-4x+7 in standard form, then identify the vertex and the equation for t... 3. Write the function R that models the total number of components that reenter the atmosphere aroun... Help Please Write a function rule that represents each sentence. 1. 11 less than the product of a... Write a function that has two infinite limits at two different x-values. Write a function where... Write y = 3x - 1 in function notation and evaluate the function at x = 0, x = 3, and x = z. Please l... Write a function rue for the statement "The output is three times the input." Write a function ru... Write a function of h whose graph is a translation of 1 unit right Write the function given the input-output table. x f(x) -2 -11 -1 -2 0... write as function x y 1 0.25 2 0.0625 3 0.015625 4 0.00390625 1. Write the function that should be graphed in order to solve the equation 9x−6=−8 .(2 points)...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use