Recent content by dashhh

We haven't done trig substitution, I think partial fractions is covered in the next section of my notes though so I'll check it out. Thanks :)

Homework Statement ∫\frac{sin\Theta}{1+sin^2\Theta} d\Theta on [0,\frac{\pi}{2}] Homework Equations I substituted: u=cos\Theta du=-sin\Theta The Attempt at a Solution = ∫ \frac{sin\Theta}{1+1-cos^2\Theta} = ∫ \frac{sin\Theta}{2-cos\Theta} = ∫ \frac{sin\Theta}{2-u^2} =...

It would seem you are contradicting one another? Or am i confused all over again? EDIT: My only understanding of WOP is that you need S_{o}<S This is all we have learned so far, so based on the fact we should be able to understand (at least vaguely) what is going on with what we are...

I've just begun number theory and am having a lot of trouble with proofs. I think I am slowly grasping it, but would appreciate some clarification or any tips on the following please. Show that if a and b are positive integers, then there is a smallest positive integer of the form a - bk, k...