Find the area between the curves y=2x an...

Find the area between the curves `y=2x and y=x^2`.

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The area of the region bounded bwtween the curve y=2^x and y=2x-x^2 and the lines x=0 , x=2 is ……….Sq. units

`4/3 -(1)/( log 2)`

`(3)/( log 2) +4/3`

`(4)/(log 2)-1`

`(3)/( log 2) -4/3`

The measure of the angle between the curves y=2 sin^(2)x and y = cos 2 x at x=(pi)/(6) is ……….

`(pi)/(2)`

`(pi)/(3)`

`(pi)/(4)`

`(pi)/(6)`

The area between the curve y= x^2 , X- axis and x=4 is divided into two equal parts by the line x=a . The value of a is

`2`

`2^(4/3)`

`2^(5/3)`

`4`