Math 210 F22
Name: ____________________________________
Written Homework 4
PRINT AND FILL OUT THIS WORKSHEET
Turn in at the beginning of class THURSDAY 12/1
Instructions:
ll work MUST be shown neatly and clearly to receive full credit
nless specifically asked not to simplify, all answers must be simplified completely
se proper mathematical notation.

ustify all steps.
1. Given ??(??) and the graph of ?? = ??(??) below. Out of the four values listed below, which is the largest and
which is the smallest? Explain your reasoning.
??
??(??) = ? ??(??)????
0
??(0), ??(2), ??(3), ??(5)
2. Observe the graph of a function below. Use geometry to compute the antiderivative ??.
11
?? = ? ??(??)????
3
2
3. Given the function ??(??) = sin(??) over the interval [0,
5??
4
] , compute the following:
a. The net area between the graph of ??(??) and the x-axis, over the given interval.
b. The area between the graph of ??(??) and the x-axis, over the given interval. (Start by sketching the
graph and shading the area to be computed).
3
4. Use u-substitution to compute the integral below.
??4
1
????
?? 2 ????????(??)
?
4

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