MA 1723
Exam Study Guide
Chapter 5
Evaluate a Riemann Sum as an integral.
Use basic integration techniques to evaluate integrals of functions, including absolute value and usubstitution.
Chapter 6
Find the area between two curves
Find the volume if a region is rotated about a vertical or horizontal line.
Find the average value of a function.
Chapter 7
Differentiate exponential and logarithmic functions including bases other than e.
Use logarithmic differentiation to find the derivative of functions of the form
[
]
( )
( )
g x
f x
.
Differentiate inverse trigonometric functions
Solve application problems involving derivatives of exponential, logarithmic, or inverse trig functions.
Evaluate integrals which are derivatives of exponential, logarithmic, or inverse trig functions.
Use L’Hopital’s Rule to evaluate limits.
Chapter 8
Integrate functions by Parts, Partial Fractions, and Trigonometric Substitution.
Use the Midpoint Rule and Trapezoidal Rule to approximate integrals.
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 Spring '11
 Thompson
 Integrals, dx, dx dx dx

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