anonymous
  • anonymous
Integrate with steps
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[\int\limits_{0}^{2\pi} \cos^2 (2\theta) d \theta\]
Zarkon
  • Zarkon
use 1/2 angle formula
anonymous
  • anonymous
So it becomes \[1/2 + 1/2 \cos (4 \theta)\] ??

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anonymous
  • anonymous
Can we do that?
Zarkon
  • Zarkon
yes
anonymous
  • anonymous
Okay, thank you.
anonymous
  • anonymous
Um... Something's wrong with what I'm doing. The original question is to find the area of one of the clovers of \[r = \cos2 \theta\] So I did the integration of 0 to 2pi of the equation squared. I then divided by 1/4 to get 1 clover. But I got pi/4 instead of the answer pi/8
Zarkon
  • Zarkon
remember it is \[\frac12\int_a^b r^2\,d\theta\] did you include the 1/2?
anonymous
  • anonymous
Yeah, I forgot that. Ah, just woke up. Thanks.

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