In this lesson, we will learn how to apply integration to find the area between the curve of a function and a horizontal or vertical straight line.
Students will be able to
Q1:
The curve shown is 𝑦=1𝑥. What is the area of the shaded region? Give an exact answer.
Q2:
A glassed, arched entry to a hotel follows the curve 𝑦=−12(𝑥−9)(𝑥−3), where 𝑦 is the vertical height of the arch at a horizontal distance of 𝑥 meters from a point on the floor. If glass costs 1,190 LE per square meter, calculate the cost of the entrance.
Q3:
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