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Integral 0 to pie mode cos^3x..................... .............

Integral 0 to pie mode cos^3x..................... .............

Grade:12

1 Answers

Arun
25757 Points
4 years ago
 
Dear student
 
as cos x is negative for pi/2 to pi
but mod is there.
 
hence 
 
it can be reduced to 
 
2 integration from 0 to pi/2 cos^3x dx
 
2 integration ( cos 3x + 3 cosx)/4  dx
 
(2/4) [sin 3x /3 + 3 sinx ]pi/20
 
(1/2) [ -1/3 +3]
 
4/3
 
Regards
Arun (askIITians forum expert)

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