Even functions and integrability

Reference no: EM13129522

Prove that if f(x) is even on [-a, a] and integrable on [0, a] where a>0, then f(x) is integrable on [-a, a] and Int([-a, a], f(x)dx) = 2*Int([0, a], f(x)dx).

Reference no: EM13129522

Questions Cloud

What is the ending balance of goods in process inventory : "The production department started the month with the beginning goods in process inventory of $350,000. During the month, it was assigned the following costs: direct materials, $192,000; direct labor, $90,000; overhead applied at the rate of 30% o..

How many moles of gas are there in a container : how many moles of gas are there in a 45.0 l container at 25.0 degress celcius and 500.0 mm hg

Reaction of a mixture of organic acids : When calcium carbonate is added to the solution of organic acids, the following compounds form: calcium methanoate salt from the methanoic acid; calcium ethanoate from the ethanoic acid; and calcium phenoxide salt from the phenol.

What molecule releases energy when its bonds are broken : What exactly are myosin, actin, troponin and tropomyosin chemically?, What molecule releases energy when its bonds are broken. Which bonds are broken to release that energy?

Even functions and integrability : Prove that if f(x) is even on [-a, a] and integrable on [0, a] where a>0, then f(x) is integrable on [-a, a] and Int([-a, a], f(x)dx) = 2*Int([0, a], f(x)dx).

Support your speculation with evidence : Support your speculation with evidence or examples and cite the Websites used in your research.

Calculate the frequency and wavelength of least photon : Wavelength of light required to break C-C, C-Cl, O=O bonds - Calculate the frequency and wavelength of the least energetic photon that can break an average C-C bond. In what region of the electromagnetic spectrum is this radiation?

Illustrate what is the net present value of this project : Long term debt currently makes up 20% of the capital structure, preferred stock 10%, and common stock 70%. Illustrate what is the net present value of this project?

Firm willingness to pay dividends : A decrease in a firm's willingness to pay dividends is likely to result from an increase in its:

User Account

All Pages