Question

Find the area of the region bounded by the straight line 2y = 5x + 7, X-axis and x = 2, x = 5.

Answer 1

The equation of the line is

2y = 5x + 7, i.e., y = \(\cfrac{5}{2}x+\cfrac{7}{2}\).

Required area = area of the region ABCDA = area under the line y = \(\cfrac{5}{2}x+\cfrac{7}{2}\) between x = 2 and x = 5

Answer 2

answer : 96 sq units

 

Comments

You are taking limit from 2 to 8 while given that region is bounded between lines x = 2 and x = 5.
∴ Limit of integration should be 0 to 5.