for the most part, I feel like I understand how to do these. But it breaks down at one very specific point for every problem, and if someone can tell me how to simply approach it, that would be great!
Anyway, heres the problem
integrate (100-x^2)^(1/2) dx from 10-5
In order to save time, I eventually come to100 integrate cos(theta)^2
Then, I find that the integral of that is: (spaces for readability)
(x/2) + sin(2x)/4 +c
The question is, what exactly do I do with this? Im pretty sure I have to draw a right triangle and do something with it. I have the triangle drawn, with the hypotenuse being x, opposite being 10, and the adjacent being the original squared term (100-...)