Question

integral of sqrt(1+cos6x)

Answer 1

sort=sqrt?

Answer 2

sqrt

Answer 3

rewrite cos(6x) using double angle identity first

Answer 4

we should be able to write the inside as a perfect square :)

Answer 5

sqrt(1 + cos(6x)) = 2 cos^2 (3x)

Answer 6

sqrt(1 + cos(6x)) = sqrt(2) | cos(3x) |

this can be tricky

Answer 7

you can consider both cases separately
usually it is fine with the instructor or in my experience if you consider one case (but they like for you to say which one)