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Given f'(x) = (cos x )/( x ), ,f ((pi)/(...

Given `f'(x) = (cos x )/( x ), ,f ((pi)/(2)) =a, f ((3pi)/(2))=b.` Find the vlaue of the definite integral `int _( pi//2) ^(3pi//2) f (x) dx.`

Text Solution

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The correct Answer is:
`2- (pi)/(2) (a-3b)`
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