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Let g ( x ) = cos x 2 , f ( x ) = x , and α , β ( α < β ) be the roots of the quadratic equation 18 x 2 – 9 π x + π 2 = 0. Then the area (in sq. units) bounded by the curve y = ( gof )( x ) and the lines x = α , x = β and y = 0, is:

1. ) 1 3 ( 2 1 −
2. ) 1 3 ( 2 1 +
3. ) 2 3 ( 2 1 −
4. ) 1 2 ( 2 1 −

Correct answer: ) 1 3 ( 2 1 −

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