- #1

- 205

- 0

## Homework Statement

For the double integral ∫[0,1]∫[0,x^3] e^(y/x) dxdy

(a) sketch the region of integration

(b) evaluate the integral and

(c) re-express the integral with the order of integration reversed

## Homework Equations

None

## The Attempt at a Solution

The problem is that I've never seen a double integral problem with the limits of integration with respect to x in terms of a function of x, not y. I couldn't find any examples online or in my book where this is the case. The problem is written such that your boundaries should be 0≤x≤x^3 and 0≤y≤1... but x=x^3 doesn't make any sense to me as an upper boundary for x.

I know how to do most double integral problems, reverse the order of integration, etc. but this has me stumped. Am I right in thinking this might be a typo? or is there some way to make sense of the region that I'm just not seeing?