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MoonlitFate
 2 years ago
Use the Fundamental Theorem of Calculus to determine the answer to the problem; do not use the even/odd properties of integration.
MoonlitFate
 2 years ago
Use the Fundamental Theorem of Calculus to determine the answer to the problem; do not use the even/odd properties of integration.

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MoonlitFate
 2 years ago
Best ResponseYou've already chosen the best response.0Problem is: \[\int\limits_{\frac{ \pi }{ 2 }}^{\frac{ \pi }{ 2 }}(\sin^3x \cos x+\sin x \cos x)dx\]

phuchh1402
 2 years ago
Best ResponseYou've already chosen the best response.0\[\sin ^{2} x is meant (\sin(x))^{2}\] so you are using quotient rule for sin square. and cos x antiderivative was sin x

phuchh1402
 2 years ago
Best ResponseYou've already chosen the best response.0Then plug pi/2 and  pi/2 in the equation

phuchh1402
 2 years ago
Best ResponseYou've already chosen the best response.0Then take the number when you plug pi/2 subtract the number when you plug pi/2 and get the answer

stamp
 2 years ago
Best ResponseYou've already chosen the best response.0@MoonlitFate find the integral using u substitution (see attachment)

stamp
 2 years ago
Best ResponseYou've already chosen the best response.0then evaluate the integral from b to a (see attachment 2) verification of answer @ http://www.wolframalpha.com/input/?i=integral+of+sin^3xcosx%2Bsinxcosx+from+pi%2F2+to+pi%2F2
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