Question

Integrate
dx/a+bcoshx

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Answer 1

Answer:

what?

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

There are three cases here.

|a|>|b|

let c=(a^2-b^2).

The result is then (2/c)*arctan(c*tan(x/2))/(a+b)

+C

2. |a|<|b|

let c=sqrt(b^2-c^2)

The result is then

(1/c)*ln((c*tan(x/2)+a+b)/(c*tan(x/2) -a -b)) +C

3. a=b

If you replace 1 +cos(x) with (sin(x/2))^2 the integral reduces to integral of

dx/(sin(x/2))^2. This is a standard integral.