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

1. (a) Evaluate the integral: ∫0 to 2 16 /x^2+4 dx
Your answer should be in the form kπkπ, where k is an integer. What is 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 you use the first 11 terms? (Use the alternating series estimation.) =

2.

The function f(x)=8xln(1+x) is represented as a power series
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=

Expert Solution

milcah answered 2 years ago

Evaluate the integral. ∫4−2. (1/(x+5)((x^2)+16)) dx

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