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Question

The value of integral I=sinx+cosx1+sin2x is

A
1+cos2x
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B
x
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C
x
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D
1+2x
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Solution

The correct option is C x
Let I=sinx+cosx1+sin2x

we know,

1+sin2x=(sinx+cosx)2

I=sinx+cosxsinx+cosxdx=dx=x

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