Question

Tricky Integral ????

Answer 1

\[ \int\limits_{0}^{2\pi} d \theta / (4 + 2\sin \theta)\]

Answer 2

is there a snap way to do it?

Answer 3

i'll show you what i have so far, what is the proper way to create a fraction in the equation editor rather then the slash i used

Answer 4

/frac{numerator}{denominator}

Answer 5

Oops \frac{}{}

Answer 6

\[ \int\limits_{0}^{2\pi} \frac { d \theta} {4+2\sin \theta} = \int\limits_{lZl=1}^{} \frac{dz}{iz} \frac{1}{2+\frac{1}{2} (z + \frac{1}{z})} = \frac{2}{i} \int\limits_{lZl=1}^{} \frac{dz}{z^{2} +4z +1}\]

Answer 7

z^2 +4z +1 = z = -2 +/- sqrt3

Answer 8

actually i may have found my mistake

Answer 9

Wow, what level calculus is that from. I've taken Calc 2 and I'll admit to being lost following that.

Answer 10

Complex analysis, integration along a unit circle radius of 1 i'm in the course its 405 but the numbers mean nothing
my mistake is very elementary the 2 should be a 4, i'm a fool

Answer 11

thanks for the fraction tip it helps

Answer 12

thanks for the fraction tip it helps