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Q.

The value of ‘c’ of Lagrange's mean value theorem for f(x)=2sinx+sin2x in [0,π] is 

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a

π3

b

π6

c

π2

d

π

answer is C.

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Detailed Solution

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f(c)=f(π)f(0)π0cosc=1,12

cosc=12c=π3

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