# Modulus x^n

• Oct 30th 2009, 09:53 AM
orangeiv
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.
• Oct 30th 2009, 10:40 AM
Plato
Quote:

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?
• Oct 30th 2009, 11:15 AM
skeeter
Quote:

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 ?