Math 240
Spring 2007
Dr. Khalili
MAPLE PROJECT 2
Due date March 19, 2007
1. Evaluate each of the following indefinite integrals by using the given substitutions. Then Check
to see if Maple can evaluate the integrals directly.
(i)R√1 + x
(x−1)9/2dx.
Hint : Let x−1 = 1
u
Note: (i)You will receive extra credit, when integrating without using Maple!. Must show your
work.
(ii)R1
x(3x5+ 2) dx .
Hint : Rewrite the denominator as x6( 3 + 2 x−5)and let u= 3 + 2 x−5.
2. The complete elliptic integral of the second kind
E(x) = Zπ
2
0q1−xsin2(t)dt , 0≤x≤1
Graph y=E(x)over the interval [0 ,1] , and find the value of x, to five decimal places of
accuracy, for which E(x)=1.5.
3. Try to evaluate Z(1 + lnx)q1+(xlnx)2dx
with Maple’s integral command! Then use a substitution that changes the integral into
one that is easier to integrate.