Evaluate the area of the region/s bounded by f(x)=3x³ - 2x? - 10x and g(x)= -x²+2x * 24 square units 26 square units O 21 square units 23 square units

Q: Find the area of the region bounded by y = -x² – 6x – 3, y= -x2 – 8x – 13, x = -5, x = -2.

A:

Q: Find the area A of the region between y = 4x2 + 10 and y = 2x + 7 over the interval [-3, 2].

A:

Q: 2. Find the area of the region bounded by the graphs of y = x2 - 6 and y-3 = 0.

A:

Q: y = 2 – x2 ; y =-x

A:

Q: determine the area in square units, of region bounded by f(x)=-5x^3-3x^2-7x+4 and…

A:

Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 4x, y = 0

A: We first find where the two equations meet.  We plug y=0 in the first equation and find x

Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 10x, y = 0

A:

Q: Find area of region f(x)=x2-10x+9 g(x)= -x2+8x+9

A:

Q: Find the area of the region bounded by the graphs of the equations: f (x) = V5x – 10 g(x) = 2x – 4

A:

Q: Find the area of the region bounded by the graph of f(x) = x² + 1, the x-axis and the vertical lines…

A: Explanation of the answer is as follows

Q: 5. Find the area of the region bounded by f(x) = -x? – 2x + 3, x-axis, and interval [0, 2].

A:

Q: Sketch the region bounded by the graphs of the equations (include representative rectangle) f (x) =…

A: Recall: Area Bounded By the Curves :  If f(x) and g(x) are two continuous function and f(x)≥g(x) on…

Q: 7. Find the area of the region bounded by the graph of y= 2x-3x+2, the x-axis, and the vertical…

A:

Q: Find area of region f(x)= (x-5)3 g(x)= x-5

A:

Q: Find the area of the region bounded by the graphs of f(x)=x^(3)+2x^(2)-3x and g(x)=x^(2)+3x

A:

Q: Find the area of the shaded region. f(x) = 10x – 3x - x°, g(x) = 0

A: We have to find the area of the shaded region. f(x) = 10x-3x2-x3,  g(x) = 0   The graph is

Q: Determine the area, in square units, of the region bounded above by g(x)=8x+6 and below by…

A: We have to find area between two curves in the interval [-10.15],for more clarification see graph.As…

Q: Determine the area, in square units, of the region bounded by f(x)=−4x−17 and g(x)=−5x+1 over the…

A:

Q: 3. Find the area of the region bounded by y=x²-2x +2 and y=6-x².

A: Use area under curve

Q: ) Find the area of the region bounded by the lines ( yı=x² ) & (y2=2-x) for x<0.

A:

Q: What is the area (in square units) of the region bounded by the graphs of y=x2+2, and the x axis…

A:

Q: Find the area of the region bounded by the graphs of f(x)=x^3-x^2+10x and g(x)=-x^2+26x

A:

Q: Find the area of the region bounded by y=2x2-3x+2 the x axis and the vertical lines x=0 and x=2

A:

Q: Find the area of the region bounded by the graphs of f(x) = 5 − x^2 and g(x) = x^2 − 3

A:

Q: Sketch the region bounded by the graphs of the equations f(x) = 3√x − 1,   g(x) = x − 1 and find the…

A:

Q: find the area of the region bounded by the graphs of f(x)=x2 and g(x)=8x

A:

Q: Find the area of region bounded byf (x) = 8 – x², g(x) = 2x , from x = 0 and x = 2. Show all work.

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: the area of the region bounded by the graphs of y2 = 5 - x

A:

Q: Find the area of the shaded region  f(x) =8x+2x^2-x^3, g(x) =0

A: f(x) =8x+2x^2-x^3, g(x) =0

Q: solve the area bounded by the curve y=4x-x^2 and the lines x=-2 and y=4

A: To find out the area bounded by the curves.

Q: 2. Find the area of the region bounded by y = 2x² +10, y = 4x+16, x = -2, and x = 5.

A: first draw bounded region then find limit of region and using vertical strips find the area

Q: Find the area of the region bounded by f(x) = -x² – 2x + 3, x-axis, and interval [0, 2].

A:

Q: Find the area of the region that is completely bounded by the two curves f(x) = x* g(x) = 3x + 20. -…

A:

Q: Consider the region bounded by f(x)=7x+15 and g(x)=6x−3. Find the area, in square units, between the…

A: To compute the required area by integration

Q: Sketch the region bounded by the graphs of the equations f(x) = x5 + 2,      g(x) = x + 2 and find…

A: Consider the given equations, fx=x5+2 and gx=x+2 the graph of the equations on the same coordinate…

Q: Find the area of the region bounded by the graph of f(x) = x(x + 2)(x - 1) and the x-axis on the…

A: Area of the region bounded by f(x) and x- axis

Q: of the given equations. y = x² - 2x - 24, y = -x² 1

A: Given curves are      y=-x2             . . . (1)    y=x2-2x-24  . . . (2) The graph is given be

Q: Find the area of the region enclosed between f(x) = 0.8x+ 10, g(x) = x, x = -7, and r = 8 Area =

A: Given, f(x)= 0.8x²+10 g(x)= x x=-7 and x= 8

Q: Find the area of the region bounded by thegraph of ƒ and the x-axis on the given interval.ƒ(x) = x3…

A: Given function f(x) -f(x) = x3-1Intervals = -1, 2Let's first draw the curve of f(x) over the given…

Q: Find the area of the region bounded by y=2x2 -3x+2 the x axis and the vertical lines x=0 and x=2

A: Given that a equation y(x) and we find area bounded by x=0 ,  x= 2  . Here i attached solution of…

Q: Find the area of the region bounded by y = x2 - 4x + 3 and y= -x2 + 2x + 3. Set up

A:

Q: Find the area of the region bounded by the graphs of f(x) = -x² + 2x +5 and g(x) = |2x|.

A: Here we have to find out the area bounded by the given curves.

Q: Find the area of the region bounded by y = 3x²-x² - 10x; y=-x² + 2x

A: We have to find the area bounded by curves, y=3x3-x2-10x, y=-x2+2x

Q: Consider the region bounded by F(x)=10x3 +7x2 -7x +6 and g(x)= 9x3 +8x2 - x +6. Find the area, in…

A: Given query is to find the area bounded by the curves for the given intererval.

Q: Find the area of the region bounded by y=-x^2+3x+1 and y=-x+1

A: Please see the diagram below to understand what's going on:

Q: Find the area of the region bounded by the graphs of f(x)=5-x^2 and g(x)=x^2-3.

A:

Q: Find the area of the region bounded by y = (1/8)(-x2 + 6x + 7) and y = -6.

A: Solved below

Q: The area of the region bounded by x = /9- y2, the y-axi first quadrant is:

A: Here we have to find the area bounded by the region x=9-y2 .....................(1), the y-axis, and…

Q: 2. Find the area of the region bounded by f(x) = 3x³ - x² - 10x and g(x) = 2x – x². %3D

A:

Q: find the area of the region bounded by the graphs of f(x)-2x2-6x+5 and g(x)=x2+6x-15.

A: To find the area of the region bounded by the graphs of fx=2x2-6x+5, and, gx=x2+6x-15.

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.