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2 x5 + 1 ex dx
1 In Maple, if you entered
[> int(sqrt(x∧5 + 1)*exp(x), x=1..2);
Maple returns the unevaluated integral since it can not perform an exact calculation for this question. In these cases, you
must use Maple’s evalf command (evaluate to a ﬂoatingpoint answer) to receive an approximation of the integral.
1 For more information, see ?int in Maple. i B.A. Forrest Calculus II Maple Assignment In Maple try entering the following to get an approximation for this integral:
[> evalf( int(sqrt(x∧5 + 1)*exp(x), x=1..2) );
Calculate the following integrals by hand using pencil and paper. Once you are done, calculate the same
integrals in Maple to check your work. You do not have to submit your work for this question.
Question 1(a): 4
(1
0 Question 1(b): 5
(2ex
0 Question 1(c): π /2
(csc(x)
π/3 + 3x − x2 ) dx
+ 4 cos(x)) dx HINT: Recall ex is exp(x) in Maple. cot(x)) dx HINT: Recall π is Pi in Maple. Question 2: Partial Fractions
Objective: Use Maple to derive partial fraction decompositions and use them to evaluate integrals of rational functions.
A rational function takes the form P (x)/Q(x), where P (x) and Q(...
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 Fall '07
 Anoymous
 Antiderivatives, Derivative, Integrals

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