Math 252
Integration Using Maple
Using Maple, find an expression for the following integrals.
Maple Answer
1. Ú
dx
4 + x2
e 2x-3
2. Ú
dx
2x - 3
3
3
dx
dx
dx
3. Ú
, Ú
, and Ú
x 5x - 9
x 5 x - 9 1 x 5x - 9
2
4. Ú
dx
( x 2 - 6 x + 9)
(x - 3) 2 + 1
Maple Answer
5.
Ú
6. Ú
2
Êx
2 Ë ˆ¯ + 4
1 2
2
dx , Ú
x
-1
x2 + 2x +1
5 - ( x + 1) 2
dx
2
7. Ú x arctan x dx
4
8. Ú tan ( x ) dx
9. Ú e
10. Ú
4x-8
sin (3x - 6)dx
1
dx
-x2 - 4x +1
( x 2)
x
2
+4
dx,
and
32
Ú
1
( x 2)
x
2
+4
dx
Maple Syntax for Integrals
int(expression to be integrated, variable of integration);
Example:
int(2*x^2-3*x,x);
For definite integrals,
int(expression to be integrated, variable of integration=lower
limit .. upper limit);
Example:
int(2*x^2-3*x,x=-2..5);
Remember: Maple does not allow implied multiplication, so
be sure to include * for every multiplication.