Integrating Functions with Only One Variable for Beginners

NihalRi
Messages
134
Reaction score
12
1. Homework Statement
image.jpg

I'm trying to integrate this, the only variable is y the others(x,w) are all constants.

Homework Equations


The ways of integrating that I am familiar with are substitution, trigonometric substitution, by parts & partial fraction decomposition.

The Attempt at a Solution


Looking at this I can't think of where I'd begin, should I rearange? Is it multistep? It it possible ? I'd appreciate any help :)
 
Physics news on Phys.org
NihalRi said:
1. Homework Statement
View attachment 108595
I'm trying to integrate this, the only variable is y the others(x,w) are all constants.

Homework Equations


The ways of integrating that I am familiar with are substitution, trigonometric substitution, by parts & partial fraction decomposition.

The Attempt at a Solution


Looking at this I can't think of where I'd begin, should I rearange? Is it multistep? It it possible ? I'd appreciate any help :)

PF rules say that you are required to put in effort and show your work. So, try out the methods you have learned. If Method I does not work, then try Method II. If that does not work, turn to Method III, etc. And yes, indeed, it takes some (possibly wasted) work and uses a lot of (possibly wasted) paper but that is how you will learn.
 
Last edited:
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top