1.

If f(x)max{x^2,(1-x)^2,3/4}, x in [0,1] , then the value of underset0overset1int f(x) dx is

Answer»

`(6sqrt3-1)/12`
`3/4(sqrt3-1)`
`(2-sqrt3)/2`
`(8-3sqrt3)/24`

SOLUTION :
`underset0overset1f(x)=underset0overset((2-sqrt3)/2)INT(1-x)^2dx+underset((2-sqrt3)/2)OVERSET(sqrt3/2)int3/4dx+underset(sqrt3/2)overset1intx^2dx`
`=(6sqrt3-1)/12`


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