In this worksheet, we will practice applying integration to find the area between the curve of a function and a horizontal or vertical straight line.

**Q1: **

The curve shown is . What is the area of the shaded region? Give an exact answer.

- A0.4054651081
- B1.09861228866811
- C1.584962501
- D
- E

**Q2: **

A glassed, arched entry to a hotel follows the curve , where is the vertical height of the arch at a horizontal distance of metres from a point on the floor. If glass costs 1 190 LE per square metre, calculate the cost of the entrance.

**Q3: **

The curve shown is . What is the area of the shaded region? Give an exact answer.

- A1.09861228866811
- B
- C
- D
- E

**Q5: **

Determine the area of the plane region bounded by the curve and the lines , , and rounded to the nearest hundredth.

**Q6: **

The curve shown is . What is the area of the shaded region? Give an exact answer.

- A1.09861228866811
- B
- C
- D
- E

**Q7: **

Let . Determine the area bounded by the curve , the -axis, and the two lines and .

- A square units
- B square units
- C square units
- D square units

**Q8: **

Determine the area of the plane region bounded by the curve and the -axis rounded to the nearest hundredth.

**Q11: **

Find the area of the region above the -axis that is bounded by the graph of the function and the line . Give your answer to two decimal places.

**Q12: **

Let . Determine the area bounded by the curve , the -axis, and the line .