Cool, thanks; Using the hint: I get
## \int_{0}^1 \sqrt{1-cos(r)}\,dr ##
Multiplying by a factor of sin(r)/sin(r), I get,
## \int_{0}^1 \frac{sin(r)}{\sqrt{1+cos(r)}}\,dr ##.
I use a substitution of
## u = 1 + cos(r) ## with
## \,du = -sin(r)\,dr ##.
I substitute the limits...
Homework Statement
Change the order of the limits of integration of the following double integral and evaluate.
Homework Equations
\int_{0}^\frac{\pi}{2} \int_{0}^{cos(\theta)} cos(\theta)\,dr\,d\theta
The Attempt at a Solution
Evaluating as it is, I arrive an answer of...