1. ## Modulus x^n

I'm having problems visualising this graph...my calculator won't plot it, neither will Wolfram

$\displaystyle y = |x^n|$ where n is a positive constant

Here's the question

$\displaystyle \int_{-2}^{2}|x^n|dy$

It looks like an exponential, but I'm not sure how that translates in modulus form.

2. Originally Posted by orangeiv
I'm having problems visualising this graph...my calculator won't plot it, neither will Wolfram
$\displaystyle y = |x^n|$ where n is a positive constant
Here's the question $\displaystyle \int_{-2}^{2}|x^n|dx$
It looks like an exponential, but I'm not sure how that translates in modulus form.
There are a couple difficulities with this question.

1) In n is a positive integer then it is easy: $\displaystyle 2\int_{0}^{2}x^ndx$

2) But if n could be one-half what about negative numbers to the one-half power.
Are we to use complex roots?

3. Originally Posted by orangeiv
I'm having problems visualising this graph...my calculator won't plot it, neither will Wolfram

$\displaystyle y = |x^n|$ where n is a positive constant

Here's the question

$\displaystyle \int_{-2}^{2}|x^n|dy$ ... dy ?

It looks like an exponential, but I'm not sure how that translates in modulus form.
since $\displaystyle y = |x^n| \ge 0$ for all $\displaystyle n > 0$, and the lower limit of integration is -2, are you sure that the integration is w/r to y ?