Calculate the double integral of f(x, y) over the triangle in the figure below.
In order to integrate over this triangular region, we need the equations of the upper and lower bounds.
Find the equation of the lower bound.
y =
A. |
B. |
C. |
D. |
Find the equation of the upper bound.
y =
A. |
B. |
C. |
D. |
Since these bounds are in terms of x and the integrand is without the variable y, it is easiest to express the triangle as simple.
Consider the following figure.
State the inequalities of the vertically simple region defined by the triangle.
0 ≤ x ≤
and
A. |
B. |
C. |
D. |
Set up the double integral with the triangle as vertically simple.
A. |
B. |
C. |
D. |
Integrate.
A. |
B. |
C. |
D. |
A. |
B. |
C. |
D. |