Question

Find the area bounded by the curves y=x√ 6 and y=x2 6

Answer 1

The solution involves finding the intersection points of the curves y=x√6 and y=x^2/6 and then calculating the integral of their difference within the intersection limits.

Step-by-step explanation:

The question seeks to find the area bounded by the curves y = x√6 and y = x2/6. This involves finding the intersection points of the curves and then integrating the difference of the functions within the boundaries set by these intersection points. The process of finding the area between two curves typically includes setting the two functions equal to find their intersection points, determining the correct integration limits, and performing the definite integral of the larger function minus the smaller function within those limits.

Steps to Solve the Problem

1. Find intersection points by setting x√6 = x2/6 and solving for x.
2. Set up the integral with the correct limits.
3. Compute the definite integral of the difference (x√6 - x2/6) within the found limits.