Let g(x)=cos x2, f (x) = , and α, β (α < β) be the roots of the quadratic equation 18x2−9πx+π2=0. Then thearea (in sq. units) bounded by the curve y=(gof )(x) and the lines x=α, x=β and y=0, is :
thus
Area =
Geometrical integration of a definite integral -
An algebraic sum of the area of the figure bounded by the curve the x axis and the striaght lines x=a and x=b. The areas above x axis are taken as positive and the areas below x axis are taken as negative.
- wherein
Where
Hence
Option 1)
Option 2)
Option 3)
Option 4)
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