Home
Class 12
MATHS
Find the area bounded by the parabola y=...

Find the area bounded by the parabola `y=2-x^2` and the straight line `y+x=0.`

Text Solution

Verified by Experts

By solving `y = 2-x^(2)` and y + x = 0 we get `x = -1, 2`
`A = int_(-1)^(2) [f(x) - g(x)]` dx
`= int_(-1)^(2) [ 2-x^(2) + x]` dx
`= [2x]_(-1)^(2) - [(x^(2))/(3)]_(-1)^(2) + [(x^(2))/(2)]_(-1)^(2)`
`= (13)/(2)` sq. units
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|4 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - A Competition Level Questions|24 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-J (Aakash Challengers Questions )|8 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

Find the area bounded by the parabola y=x^2+1 and the straight line x+y=3.

Find the area bounded by the parabola y=x^2+1 and the straight line x+y=3.

Find the area bounded by the parabola y=x^2+1 and the straight line x+y=3.

Find the area bounded by the parabola y^2=4x and the straight line x+y=3 .

Find the area bounded by the curves y=2x-x^2 and the straight line y=-xdot

Find the area bounded by the curve x^2=4y and the straight line x=4y-2.

Find the area bounded by the curve x^2=4y and the straight line x=4y-2.

Find the area of the region bounded by the parabola y^2=2x and straight line x-y=4.

Find the area enclosed between the parabola 4y=3x^2 and the straight line 3x-2y+12=0

Find the area enclosed between the parabola 4y=3x^2 and the straight line 3x-2y+12=0