Final answer:
The student's question involves finding the area between two curves, which requires solving for intersection points and integrating the difference between the functions over the interval of the intersection points.
Step-by-step explanation:
The question asks us to find the area enclosed by the curves y = x2 and y = 6x. To do this, we need to identify the intersection points of the curves as the limits of integration and then integrate the difference of the functions within these limits. However, the question appears to have several typos. Assuming the correct form of the first function is y = x2 - 3x - 5, we would solve the equation x2 - 3x - 5 = 6x to find the intersection points. After finding the points of intersection, we can set up the integral for the area between the curves: ∫ (6x - (x2 - 3x - 5)) dx, with the proper limits from the smaller x value to the larger x value of the intersection points.
The step-by-step integral calculation involves evaluating the definite integral and subtracting the integrated values at the upper and lower bounds. This will give us the enclosed area. For an accurate calculation, proper algebraic simplification and integration techniques should be employed.