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  3. 1. (a) evaluate the integral: ?0 to 2 16 /x^2+4 dx

1. (a) Evaluate the integral: ?0 to 2 16 /x^2+4 dx Your answer should be in...

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Basic Math

1. (a) Evaluate the integral: ?0 to 2 16 /x^2+4 dx
Your answer should be in the form k?k?, where k is an integer. Whatis the value of k?
Hint: d/dx arctan(x)=1/x^2+1
k=
(b) What is the upper bound for your error of your estimate if youuse the first 11 terms? (Use the alternating series estimation.)=

2.

The function f(x)=8xln(1+x) is represented as a powerseries
f(x)=??n=0 cn x^n.
Find the specified coefficients in the power series.
c2=   
c3=   
c4=   
c5=   
c6=   
Find the radius of convergence R of the series.
R=

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