The discussion revolves around finding the integral of the function 1/(1+cosx) over the interval from -π/2 to π/2. The subject area pertains to calculus, specifically integral calculus.
The discussion includes various attempts at simplification and manipulation of the integral. Some participants indicate that they have found helpful hints or insights, while others are still exploring different approaches without reaching a consensus.
There are indications of multiple interpretations of the problem, and some participants mention hints that may lead to a quicker solution. However, no explicit consensus or resolution has been reached.
That looks good so far. What about splitting up the integral into two now?Math9999 said:Homework Statement
Find the integral of 1/(1+cosx) dx from -pi/2 to pi/2.
Homework Equations
None.
The Attempt at a Solution
Here's my work:
1/(1+cosx)=(1-cosx)/((1+cosx)(1-cosx))=(1-cosx)/(1-cos^2 x)=(1-cosx)/sin^2 x
This is what I've got so far. But this doesn't seem to simplify the integrand.
There was a quicker way. Hint: ##x = 2(x/2)##.Math9999 said:Never mind. I got it. You gave me the big hint already, splitting it up.