Paul's Online Math Notes
Calculus I (Assignment Problems) / Applications of Integrals / Area Between Curves   [Notes] [Practice Problems] [Assignment Problems]

Calculus I - Assignment Problems
Integrals Previous Chapter   Next Chapter Extras
Average Function Value Previous Section   Next Section Volumes of Solids of Revolution / Method of Rings

 Area Between Curves

 

1. Determine the area below  and above the x-axis.

 

2. Determine the area above  and below the x-axis.

 

3. Determine the area to the right of  and to the left of the y-axis.

 

4. Determine the area to the left of  and to the right of the y-axis.

 

5. Determine the area below  and above the line .

 

6. Determine the area above  and below the line .  

 

7. Determine the area to the right of  and to the left of the line .

 

8. Determine the area to the left of  and to the right of the line .

 

For problems 9  26 determine the area of the region bounded by the given set of curves.

 

9. ,  and .  

 

10.  and .

 

11. , ,  and the x-axis.

 

12.  and .

 

13. , ,  and the x-axis.

 

14. , ,  and .

 

15.  and the y-axis.

 

16. , ,  and .    

 

17. , ,  and .

 

18. , ,  and .

 

19. ,  and .

 

20. , ,  and .

 

21. , ,  and the y-axis.

 

22. , ,  and .

 

23. , ,  and .

 

24. , ,  and the y-axis.         Note : These functions do not intersect.

 

25. , ,  and .

 

26. , ,  and .  

 

Average Function Value Previous Section   Next Section Volumes of Solids of Revolution / Method of Rings
Integrals Previous Chapter   Next Chapter Extras

Calculus I (Assignment Problems) / Applications of Integrals / Area Between Curves    [Notes] [Practice Problems] [Assignment Problems]

© 2003 - 2017 Paul Dawkins