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Integration and Simpson's Rule

(See attached file for full problem description with proper symbols and equations)

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A.
Evaluate the improper integral:

Infinity
∫ (xe^x^2)dx
0

B.
Complete the square, then use integration tables to evaluate the indefinite integral:

∫ {(sqrt(x^2 + 6x + 13))/x+3}dx

C.
Which of the following would be used to find the present value of the income given by e(i)=4000e measured in dollars, over four years at an annual interest rate of 5%.

D.
Integrate:
∫ (1/x^2-9)dx

E.
A function f is given by the following table:

X 0 1 2 3 4
F(x) 9 8 7 9 2

Estimate the area between the x-axis and y=f(x) from x=0 to x=4 using Simpson's Rule.

F. -1
Use Simpson's Rule with n=2 to approximate the value of ∫ (3/2x-1)dx
2
keywords: simpsons, integrate, integrating, integrals

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Solution Summary

Integration and Simpson's Rule are investigated. The solution is detailed and well presented.

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