Man with mass M pulling with constant horizontal force F along a rope attached to object with mass m. Both the man and the object are on a frictionless surface and separated by distance D. When the man and object meet, what is the velocity of the object? Velocity of the man...
Okay so, given:
tan(x/2) = t
(1/2)sec^2 (x/2) dx = dt
dx = 2cos^2 (x/2) dt
2cos^2 (x/2) dt / (2+sinx)
Am I supposed to use x = arctan(2t)? If so, is it possible to simplify by drawing a triangle?
Integral of 1/(2+sin(x)) dx
The Attempt at a Solution
I've been told that you can use trig subs, but I never had to learn that in high school and it hasn't appeared in any of my calculus coursework.
As a side note. I've been wondering if it...
I tried multiplying it out and got
1 = y^3 (A+B+C) + y^2 (B-C+D) + y(B-D) - A
Even knowing that A = -1 and B = 1/3, I'm still not seeing the "nice" solution.
Oh and, my original problem involved using y, but I wanted to use Mathmatica which solves dx integrals and I copied and pasted...