## Your Questions About Odd Calculator

David asks…

## Help! how to find intergral of absolute value of the sum of 2 odd functions?

for example

S(-1,1, |5^(1/2) * x^5 + 5*x^(1/5)|, X)

or intergrating |5^(1/2) * x^5 + 5*x^(1/5)| from x= -1 to 1

so i got the intergration of that whole function is

| sqrt(5)/6 + 25/6 * x^ (6/5) + c | from x= -1 to 1

when substituting the numbers in, it is:

squrt(5)/6 + 25/6 – ABS ( squrt(5)/6 + 25/6*(-1)^(6/5)

I’m stuck here. I can’t use the **calculator** because the question is „doing without the **calculator**„. Plus I want to be able to understand.

Please help.

### admin answers:

Since the function in side your abs value is odd, that means the function is (-) of what you get for + x values, if you consider -x values therefore you understand that the function integral for – values of x is the opposite sign of integral for + values of x

So just integrate it for +x from 0 to 1 and multiply the value by 2.

Or else you can consider the integral in two parts -1 to 0 first and 0-to 1 next. Pit -x instead of x for the integral from -1 to 0., there by you effectively get rid of ABs – sign.

E.g. Y= abs(x) means two functions

y = -x for x=0 it is same for functions like sin,

or odd powers.

Good luck!!

Chris asks…

## what is the main use of c++ and java languages?

i am learning c++ these days. but i feel that the programs i am writing have no importance like the palindrome, **odd** even **calculator** etc. my tutor doesnt go beyond these sillly programs. i want to learn some real programs…..programs which have great potential and very good applications. can anyone help me??

### admin answers:

You have to start somewhere and you need to understand basics first.

That said:

http://www.microsoft.com/express

Can get you up and making programs right now.

Donald asks…

## Can someone help me! My graphing calculator broke!?

Using your graphing **calculator** graph the function f(x) = x4 – 4×3 + 3x + 5.

Identify whether the function graphed has an **odd** or even degree and a positive or negative leading coefficient. Explain why.

### admin answers:

Degree is even because the highest exponent is even (its a 4).

The leading coefficient is positive, because x^4 is positive, and the graph goes up.

Susan asks…

## Deterime whether the function is odd, even, or neither?

F(x) = x sin^3 x

I’m confused because I cant even input this into a **calculator** since I can’t put a sin^3 into it.

How do I find out what this is?

### admin answers:

A function f(x) is even if f(x)=f(-x) and is odd if f(-x)=-f(x).

In this case:

f(-x) = – x* sin^3(-x) = x*sin^3 x

hence the function is even.

Edit: Another easy way is to see the graph:

An even function is perfectly symmetrical about y-axis, as you see in the link below.

Mary asks…

## Could someone graph this function on an online graphing calculator for me?

I know it sounds stupid that I can’t do it myself on my own computer but I’m using an old computer that fails to install Java. I’ve tried looking for an online graphing **calculator** that doesn’t use Java and even free programs but haven’t come across any. Anyway, this is a simple way to help me out and get 10 points – basically just enter the function into a graphing **calculator**, take a screen capture of it, upload it onto an image hosting website and give a direct link to the picture.

The function is: f(x) = 2x-1/x+1 (I assume you can just literally copy and paste that into the graphing **calculator**).

I know it sounds like an **odd** and stupid question but I’ve struggled to sketch this graph and I just want to know whether I’ve sketched it correctly. I only want helpful answers, no unnecessary comments.

Thanks in advance.

The „/“ is meant to indicate a fraction, not as to 1/x. Sorry. So, the function would be: 2x-1 / x+1 (2x-1 over x+1).

### admin answers:

Http://goo.gl/lstxX is a PDF showing the answer in full.

Http://goo.gl/Fzgo8 is a link to the page with the solution. I don’t know if it’s using Java, but you can certainly give it a shot. It’s been very good at graphing, as well as showing different versions of the problem.

EDIT FOR ADDITIONAL DETAILS:

Now, you’ve completely changed the equation, and for your changed function, the way to input it in a graphing calculator is f(x) = (2x-1)/(x+1).

PDF: http://goo.gl/IVeHh

Solve: http://goo.gl/nOHSv

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