In this worksheet, we will practice applying integration to find the area bounded by the curves of two or more functions.

**Q1: **

The curves shown are and . What is the area of the shaded region? Give an exact answer.

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- B0.3068528194
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- E0.6931471806

**Q2: **

Find the area of the region bounded by and .

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**Q3: **

Find the area of the region bounded by the curves and .

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**Q4: **

Find the area of the region bounded by the curves and .

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**Q6: **

The plan view of a single corridor floor is bounded by lines , and the curve , all measured in metres. What is the cost of covering 6 such corridors with granite at the price of 200 pounds per square metres?

**Q8: **

Find the area of the region bounded by and .

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**Q9: **

Find the area of the region bounded by , , and .

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**Q10: **

Find the area of the region bounded by and .

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**Q11: **

Find the area of the region bounded by and .

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**Q12: **

Find the area of the region bounded by and , where .

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**Q13: **

The curves shown are and . What is the area of the shaded region? Give an exact answer.

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**Q14: **

The curve in the figure is .

What is the area of the shaded region? Give your answer exactly as a fraction.

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**Q15: **

Find the area of the region bounded by and , where .

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**Q16: **

Determine, to the nearest thousandth, the area of the region bounded by the graph of the function , where , and the lines and .

**Q17: **

Find the area of the region enclosed by the curves , , , and .

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**Q18: **

Find the area of the region enclosed by the curves and for between and .

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**Q19: **

Consider the region in the first quadrant enclosed by the curves , , and . Find the area of this region.

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**Q20: **

Find the area of the region bounded by the curves and .

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**Q21: **

Find the area of the region enclosed by the curves and and the lines and .

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**Q22: **

Find the area of the region bounded above by and below by .

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**Q24: **

Find the area of the region bounded above by , bounded below by , and bounded on the side by .

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**Q25: **

Find the area of the region bounded by and .

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