√1+cosx,0 < x < π,Integrate the given function defined on proper domain w.r.t. x.
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Answered by
30
HELLO DEAR,
GIVEN:-
∫√(1 + cosx).dx
=> ∫√(2cos²x/2).dx
=> √2∫cos(x/2).dx
=> √2{2.sin(x/2)} + c
=> 2√2sin(x/2) + c.
I HOPE ITS HELP YOU DEAR,
THANKS
GIVEN:-
∫√(1 + cosx).dx
=> ∫√(2cos²x/2).dx
=> √2∫cos(x/2).dx
=> √2{2.sin(x/2)} + c
=> 2√2sin(x/2) + c.
I HOPE ITS HELP YOU DEAR,
THANKS
Answered by
1
In the attachment I have answered this problem. I have applied decomposition method to find the anti derivative of the given function. See the attachment for detailed solution.
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