Solids of Revolution and the Astroid Name
Math 125 Quiz Section
In this worksheet we are going to practice computing some more volumes of solids of revolution. These will all be based on a curve called the "astroid". This curve is formed by rolling a smal
Integration by Parts Name
Math 125 Quiz Section
In this work sheet we'll study the technique of integration by parts. Recall that the basic formula looks like this: u dv = u v - v du
1
First a warm-up problem. Consider the integral
x sin(3x) dx. Let u = x
Algebra and Partial Fractions Name
Math 125 Quiz Section
Integration of rational functions is mostly a matter of algebraic manipulation. In this worksheet we shall work through some examples of the necessary techniques. 2x3 - 4x2 - 5x + 3 . Use long divis
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Antiderivatives and Areas Name
Math 125 Quiz Section
In this worksheet, we explore the Fundamental Theorem of Calculus and applications of the Area Problem to problems involving distance and velocity. We also consider integrals involving net and total cha
Solids of Revolution and the Astroid - Solutions
1
Math 125
1 If the radius of the big wheel is taken to be one, the part of the astroid in the rst quadrant can be shown to have the equation x2/3 +y 2/3 = 1. Use disks to compute the volume of the solid ge
Antiderivatives and Areas - Solutions
Math 125
In this worksheet, we explore the Fundamental Theorem of Calculus and applications of the Area
Problem to problems involving distance and velocity.
FTC Practice
1
Let f (x) be given by the graph to the right