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anonymous
 5 years ago
integral of (sin (1x) (2cos(1x))^4 dx
anonymous
 5 years ago
integral of (sin (1x) (2cos(1x))^4 dx

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Let u = 2  (cos (1x)). Then du = sin (1  x)dx. Go from there. You'll be integrating u^4 du

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0This is called a usubstitution.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0why is du=sin (1x)dx? I thought since subtracting the cos, and derivative of cos is sin, that sin would be positive?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if you differentiate u, you get  (  sin (1  x) ) * (1). The last (1) comes from chain rule.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so the last (1) is from derivative of (1x)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0To answer for verifry, yes it is.
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