Calculus II Exam 1 Review Questions With 100% Correct
Answers!!
1. area +f(x) - g(x) over interval a to b, where f(x) is top function and g(x) is bottom
between function
two curves
2. Finding the 1. Graph and look for bounded region
area between 2. set each equation equal to 0 to find upper and lower or left to
two curves right limits
3. set up integral; (right minus left or top minus bottom); and
distribute if needed
4. find antiderivative of equation
3. To find the 5. math 9
anti-
derivative:
4. Area of a triangle A=1/2bh
5. Area of a cylinder pi r squared x height
-height is the dx or dy on the graph
1/
5
, Calculus II Exam 1 Review Questions With 100% Correct
Answers!!
6. Disc Method V= pi (integral) R^2 dx
7. Washer Method V =(integral) pi(R^2)- pi(r^2) dx
(Vbig-Vsmall)
8. Volume of a pyra- 1/3Bh
mid
9. e^x dx e^x
10. lnx 1/x
2/
5
Answers!!
1. area +f(x) - g(x) over interval a to b, where f(x) is top function and g(x) is bottom
between function
two curves
2. Finding the 1. Graph and look for bounded region
area between 2. set each equation equal to 0 to find upper and lower or left to
two curves right limits
3. set up integral; (right minus left or top minus bottom); and
distribute if needed
4. find antiderivative of equation
3. To find the 5. math 9
anti-
derivative:
4. Area of a triangle A=1/2bh
5. Area of a cylinder pi r squared x height
-height is the dx or dy on the graph
1/
5
, Calculus II Exam 1 Review Questions With 100% Correct
Answers!!
6. Disc Method V= pi (integral) R^2 dx
7. Washer Method V =(integral) pi(R^2)- pi(r^2) dx
(Vbig-Vsmall)
8. Volume of a pyra- 1/3Bh
mid
9. e^x dx e^x
10. lnx 1/x
2/
5
