Matched Problem 3 Evaluate ∬ R 3 x y 2 d A , where R is the region in Example 3. Example 3 Evaluating a Double Integral Evaluate ∬ R 2 x y d A , where R is the region bounded by the graphs of y = − x and y = x 2 , x ≥ 0, and the graph of x = 1.
Matched Problem 3 Evaluate ∬ R 3 x y 2 d A , where R is the region in Example 3. Example 3 Evaluating a Double Integral Evaluate ∬ R 2 x y d A , where R is the region bounded by the graphs of y = − x and y = x 2 , x ≥ 0, and the graph of x = 1.
Solution Summary: The author evaluates the value of the iterated integral 1340.
Matched Problem 3 Evaluate
∬
R
3
x
y
2
d
A
, where R is the region in Example 3.
Example 3 Evaluating a Double Integral Evaluate
∬
R
2
x
y
d
A
, where R is the region bounded by the graphs of y = −x and y = x2, x ≥ 0, and the graph of x = 1.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
3. The region between the graphs of y = x3 + 4x - 1 and y = 2x3+ 3x2 - 1
2)Let f(x) =2x-6
Let x0 be the x coordinate of x intercept of f(x) and y0 be the y coordinate of f(x) then
x0=
y0=
The area of the region bounded by f(x),x axis over interval [0,x0] is
Question 8. Use a change of variable to compute the integral
10
R
x+ y
where R is the triangular region bounded by the line x + y = -1 and the coordinate axes.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.