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:
Let π(π₯)=2π₯+3ο¨. Determine the area bounded by the curve π¦=π(π₯), the π₯-axis, and the two lines π₯=β1 and π₯=5.
Q2:
The figure shows π¦=π₯β6π₯+11π₯β3ο©ο¨.
Evaluate the area of the shaded region giving your answer as a fraction.
Q3:
Determine the area of the plane region bounded by the curve π¦=βπ₯+20ο¨, the π₯-axis, and the two lines π₯=β3 and π₯=2.
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