Question

B. Solve the following0.1. Find the area bounded by the curve y=2x, X-axis and the lines x=-2 andX = 4​

Answer 1

Answer:

the area bounded by the curve y = 2x, X-axis, and the lines x = -2 and x = 4 is 12 square units.

Step-by-step explanation:

The curve y = 2x intersects the X-axis at the origin (0, 0).

The lines x = -2 and x = 4 intersect the curve at the points (-2, -4) and (4, 8) respectively.

To find the area bounded by the curve, X-axis, and the lines x = -2 and x = 4, we need to integrate the function y = 2x with respect to x over the interval [-2, 4]. The area is given by:

Area = ∫(-2 to 4) 2x dx

Integrating with respect to x, we get:

Area = x^2 | (-2 to 4)

Area = (4)^2 - (-2)^2

Area = 16 - 4

Area = 12

Therefore, the area bounded by the curve y = 2x, X-axis, and the lines x = -2 and x = 4 is 12 square units.

To learn more about Integration from the link below

https://brainly.in/question/85177

To learn more about X-axis from the link below

https://brainly.in/question/6970381

#SPJ2