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MoonlitFate
Group Title
Use the Fundamental Theorem of Calculus to determine the answer to the problem; do not use the even/odd properties of integration.
 one year ago
 one year ago
MoonlitFate Group Title
Use the Fundamental Theorem of Calculus to determine the answer to the problem; do not use the even/odd properties of integration.
 one year ago
 one year ago

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

phuchh1402 Group TitleBest 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
 one year ago

phuchh1402 Group TitleBest ResponseYou've already chosen the best response.0
Then plug pi/2 and  pi/2 in the equation
 one year ago

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

phuchh1402 Group TitleBest ResponseYou've already chosen the best response.0
Hope this help
 one year ago

stamp Group TitleBest ResponseYou've already chosen the best response.0
@MoonlitFate find the integral using u substitution (see attachment)
 one year ago

stamp Group TitleBest ResponseYou've already chosen the best response.0
then 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
 one year ago
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