Question

The area bounded by the curve y = 2x the Y-axis, the X-axis and x = 3 is ______.

विकल्प

• 3 sq. units

• 6 sq. units

• 9 sq. units

• 12 sq. units

Answer 1

The area bounded by the curve y = 2x, the Y-axis, the X-axis and x = 3 is 9 sq. units.

Explanation:

The curve y = 2x

The Y-axis ⇒ x = 0

The X-axis ⇒ y = 0

The vertical line x = 3

By using definite integration,

Area = `int_0^3 y  dx`

= `int_0^3 2x  dx`

= `2 int_0^3 x  dx`

= `2[x^2/2]_0^3`

= `2(9/2 - 0)`

= 9 sq. units