f(x)= 4-2x^2 between -1 and 1 on

Question

 axis find the aprox area.? 

 

 

Answer 1

f (x ) = 4 - 2x ^2

The area under the curve y = f(x ) between x = a and x = b is given by

When the curve lies entirely above the x - axis between a and b.

Area bounded by the curve  y = 4 - 2x ^2  and the x axis between x = -1 to x = 1.

To find area need to find definite integration between the limits

Aproximate area is 6.66 squre units.