Area under the curveHard
Question
The area (in square units) of the region bounded by the curves y + 2x2 = 0 and y + 3x2 = 1, is equal to :
Options
A.1/3
B.3/4
C.3/5
D.4/3
Solution
and
are parabola

point of intersection of these two curves are (1, - 2) & (-1, -2)
Area bounded by these two curves = 2
{(1 - 3x2) - (-2x2)} dx
= 2
(1 - x2) dx


=

point of intersection of these two curves are (1, - 2) & (-1, -2)
Area bounded by these two curves = 2
= 2
=
Create a free account to view solution
View Solution FreeMore Area under the curve Questions
The area bounded by the lines y = x, y = 0 and x = 2 is-...Let T be the triangle with vertices (0, 0) (0, c2) and let R be the region between y = cx and y = x2 where c > 0 then...The area bounded between the curve + 1 = 0, x = − 2, x = 3 and x-axis is-...Find the area enclosed by the lines y = x/2, y = 2x and x = 4 is-...The area bounded by the curves y = sin x, y = cos x and x-axis from x = 0 to x = π/ 2 is-...