41. S = {(x, y) |x> 1, 0< y sey 41-46 Sketch the region and find its area (if the area is finite).

Q: 6.(. Find the area of the region enclosed by the curves y = x² +1 and y = x +3.

A: I am solving this in step 2

Q: 5. Find the area between x = y + 1, y = Vx and x = 0.

A:

Q: 3.) Find the area of the region bounded by the graphs of y = x - 1, y = -x + 3, and x = -1.

A: Region bounded by the graphs ofy=x−1,y=−x+3, and x=−1.

Q: 4. Find the area of the region bounded by the curves x-y² = 0 and x+2y² = 6.

A: Hence, the area of the region bounded by the curves x-y2=0 and x+2y2=6 is 82 square units .

Q: Find the area bounded by the given curves. 1) y = x³, y = 8, x = 0

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

Q: 9) Find the area between x = 0 and x = 2: 0 -1- y = x+2x3 2

A: Refer to the attached images for the detailed solution: