anonymous
  • anonymous
a) 2* ∫_0^π √(4 cos^2(t/2)) dt = b) 4 *∫_0^π cos(t/2) dt How do I get from a to b?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1333046826834:dw|
anonymous
  • anonymous
I dont know how they got from the first integral to the next? What rule is used?
anonymous
  • anonymous
sqrt(16) => sqrt(4*4) = sqrt(4)*sqrt(4) => 2*2 apply the same logic to sqrt(4*(cos(t/2)*cos(t/2)))

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anonymous
  • anonymous
|dw:1333047299170:dw|
anonymous
  • anonymous
I still dont see how that is. Im not able to see how I get 4 outside of the integral and cos(t/2) inside?
anonymous
  • anonymous
because you end up with 2cos(t/2) inside the integral, and you can take constants out of the integral
anonymous
  • anonymous
|dw:1333053636388:dw|
anonymous
  • anonymous
because the 2 is mulitplied with the 2 taken from sqrt(4) to make 4

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