Question

Evaluate
(x2 + y2) dx dy throughout the area enclosed by n the curves y = 4x, x+y=3,y=0 and y=2​

Answer 1

Answer:

the area is 95/16 units.

Step-by-step explanation:

At last the modulus magnitude will have to be taken since area cannot be negative.

Answer 2

Given: Curves y = 4x, x + y = 3 , y = 0 and y=2​

To find: (x2 + y2) dx dy throughout the area enclosed

Solution:

Consider a strip parallel to x- axis  

To calculate double integral,

• Think about the volume under a surface with condition z = f (x, y).
• We can rough this volume similarly to our surmised region, by filling the region with staggeringly meager and restricted boxes.
• The length and width of each crate might be called dx and dy, while the stature is given by the capacity esteem f (x, y).
• Then, at that point, after including the volumes of a significant number of these crates over the region R of the plane that fills in as the foundation of the strong (and permitting dx, dy → 0), we get the specific volume.