Holistic Numerical Methods Institute

committed to bringing numerical methods to undergraduates

Multiple Choice Test

Background on Integration

 

Q1. Physically, integrating

  

means finding the

 

 area under the curve from a to b

area to the left of point a
 area to the right of point b
 area above the curve from a to b

Q2. The mean value of a function f(x) from a to b is given by

 

 

 Q3. The exact value of

 

is most nearly
 7.8036
 11.807

14.034
 19.611

 Q4. The exact value of the integral

 

for

  

        

1.9800
 2.6640

2.7907
 4.7520

 

Q5. The area of a circle of radius a can be found by the following integral




Q6. Velocity distribution of a fluid flow through a pipe varies along the radius, and is given by v(r).  The flow rate through the pipe of radius a is given by




 

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