Question

The area (in square units) of the region bounded by the curves y + 2x² = 0 and y + 3x² = 1, is equal to ______.

Options

• `3/5`

• `1/3`

• `4/3`

• `3/4`

Answer 1

The area (in square units) of the region bounded by the curves y + 2x² = 0 and y + 3x² = 1, is equal to `underlinebb(4/3)`.

Explanation:

Solving

y + 2x² = 0

y + 3x² = 1

Point of intersection (1, –2) and (–1, –2)

Area = `2int_0^1((1 - 3x^2) - (-2x^2))dx`

`2int_0^1(1 - x^2)dx = 2(x - x^3/3)_0^1`

= `4/3`