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Question

sin x d(cos x) is equal to

A
14cos2x+c
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B
14sin2xx2+c
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C
2sin2x+c
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D
sinx+cosx+c
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Solution

The correct option is A 14cos2x+c

Consider the given equation:

:sinxd(cosx)dx

=sin(x)cos(x)dx

=sin(2x)2dx

=12sin(2x)dx

putthenv=2x

sothatdv=2dx

=14sin(v).(2)dx

=14sin(v)dx

=14cos(v)+c

=14cos(2x)+c

Hence,thisistheanswer.


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