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Let's just start off here by rewriting this integral.
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So pining for six pi over three, and then
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we have sign and let me go headed instead of
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writing one over C camp. Just replace that with
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co sign and then apply the definition for coach engine
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that's co sign over sign and then deviate a still
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. Now let's go ahead and cancel those signs.
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We have co sign squared and then apply the half
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angle identity to rewrite Close Science cleared this up here
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. That's our co sign squared. And now we're
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using the Half ing Identity, which is replacing co
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sign squared with one plus co sign to Dana and
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then all divided by two. And we pulled out
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the one half of me. So go ahead and
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integrate this state over to Sines, who data over
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two times two Plug in those end points tops Piper
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three. So plug in pi over three first and
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then minus. And now plug in pi over six
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. And then here. These values will cancel out
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there the same, but we're surprising. And then
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you have pie over six minus pyrrhus. Well,
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fascist Positive pi over twelve, and that's your final
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answer