In the following, except where noted, integrals should be done by hand,
with all the steps shown. (You may if you wish check your answers with Maple,
using the "int" command.)
14.1 X. (a) Using Theorem 1 of Section 14.1, evaluate the integral
of f(x,y)= 1+ x*sin(y) over the rectangle R: 0 <= x <= 1, 0 <=y <=4.
14.2 4. Integral over a triangle.
8. Another 2D integral.
Also, rewrite this integral with y as the inner variable.
20. 2D integral setup and integration. Hint for less labor: symmetry!
26. Just do the sketch.
41-44. Reduction of work using symmetry.
14.3 6. Area of region enclosed by 3 curves.
First do it completely by hand.
Then use Maple's "int" to confirm your answer.
NOTE: Some books in circulation have a page or
so missing at the end of 14.3. Here is p905 from
my copy of Edwards and Penney.
14.5 12. Mass and center of gravity of a non-uniform triangular lamina.
