1. ## Trig integrals

so i tried the problem

got ln(sec(4x)) & -2cos(4x)

what am i doing wrong?

2. tried what problem?

3. Originally Posted by artvandalay11
tried what problem?

the y = is the actual question.

4. Originally Posted by XplicitZero
the y = is the actual question.
you need to know when tan(4x)=2sin(4x)?

5. No, the OP trying to integrate each function between the limits $\displaystyle \left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$.

6. Originally Posted by XplicitZero

so i tried the problem

got ln(sec(4x)) & -2cos(4x)

what am i doing wrong?
both odd functions with limits of integration from -a to a ... what's that tell you?

7. don't know =(

8. Originally Posted by XplicitZero
don't know =(
visualize the definite integral ... graph one of them and see for yourself.

9. the graph looks crazy. line + zig-zag, but i really dunno.

10. window is from $\displaystyle \left[-\frac{\pi}{12} \, , \, \frac{\pi}{12}\right]$

look at it ... what's the value of the definite integral?