Find the area under the graph of f over the interval [- 2,5]. x +3 xs3 f(x) = 4х x> 3 The area is . (Simplify your answer.)

Q: 1. Find the area in the first quadrant bounded by f(x)=4x-x^2 and the x-axis. f(x) = 4x-x² 3 2 3 1 2…

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Q: Find the area under the graph of y = -x² AL 54 3-2 -11° 1 2 3 4 5 X 4x on the interval [-4, -2].

A: We will solve the required.

Q: .Find the area under the graph of y = g(x) from -3 to 6, where x², g(x) = 18 – x, x > 2

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Q: Find the area under the graph of f over the interval [5,8]. 4x+1, for x s7 = (x)] 50-3x, for x>7 The…

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Q: Approximate the area under the graph of f(x) and above the x-axis using n rectangles. f(x)=25-x2…

A: f(x)=25 - x2 from a=-5 to b=5; n=2; use midpoints.  Width = Δx = (b - a) / n = (5 - (-5)) / 2 = 5

Q: Approximate the area under the graph of f(x) and above the x axis using n rectangles

A: Given function is: fx=4x Number of rectangles is n=4. Limit of x is, a=2 b=6

Q: Find the area under the graph of f over the interval [- 1,3]. x +2 xs1 f(x) = 3x %3D x> 1 The area…

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Q: Approximate the area under the graph of f(x) and above the x axis. F(x)=9-x^2 from x=-3to x=3;n=2…

A: Find the area under the graph of f(x) and above the x axis. f(x)=9-x2  from x=-3 to x=3; n=2 using…

Q: Find the area of the region under the graph of f(x) = ln(x) from x = 3 to x = 11.

A: Given function : f(x) = ln(x) To find the area of the region from x=3 to x=11 To find the area of…

Q: Find the area (in square units) of the region under the graph of the function f on the interval [1,…

A: The area of a curve f (x) on an interval [a, b] is given by,     Here, the given curve is f (x) =…

Q: 2) Find the area of the function f(x)=x² +4 for x=-1 tox=4.

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Q: The area under the graph of f(x) = – x³ over the interval [-5, 5] is equal to zero Select one: O…

A: Area under the curve f(x)= integration a to b f(x)dx

Q: the area of the region under the graph of f on [a, b]. f(x) =  7 x2

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Q: Find the area of the region under the graph of f(x) = e−x/3 from x = 12 to x = 27.

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Q: 1. Find the area in the first quadrant bounded by f (x) = 4x - x and the x-axis. %3D

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Q: Use the definite integral to find the area between the x-axis and ƒ(x)  over the indicated interval.…

A: If any function with one variable (x) cross the X-axis, then the value of function at the point at…

Q: Find the area under the graph off over the interval [1,4]. x+7, for x ≤2 f(x) = 11-x, for x>2 The…

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Q: Find the area under the graph of f over the interval [1,7]. 6x +5, for xs6 f(x) = 59-3x, for x>6

A: Given

Q: e area of the region under the graph

A: Given that: The equation of the curve is f ( x) = 8x - 9,   [ 5, 6].

Q: Let f (x) = eX - 1 for 0<xs 1. Find the area A of the region between the graph of f and the x axis…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [-1,…

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Q: Find the area of the region under the graph of f(x) = eX2 from x = 8 to x = 12. O e-6(e? - 1) ㅇ 글et…

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Q: Find the area of the region under the graph of the function f on the interval [3, 5]. 6. f(x) =

A: f(x)=6x2 The area under the curve y=f(x) on the interval [a, b] will be given by  A=∫abf(x)dx

Q: 6) Calculate the area under the graph of the function f(x) =3x*+ 2x -1 between x =0 and X =1. Draw…

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Q: Find the area of the region under the graph of the function f on the interval [5, 9]. f(x)= 7/x2…

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Q: Estimate the area under the graph of f(x) = between x =1 and x = 7 using the midpoint rule" with two…

A: According to the mid-point rule, we divide the interval into n sub-intervals and consider the height…

Q: Find the area (in square units) of the region under the graph of the function f on the interval [0,…

A: Given fx=10 ex on the interval 0,3 The formula to calculate the area under the graph y=g(x) on the…

Q: Let f(x) = - 2x ^ 3 + 6x ^ 2 - x + 1 Use to estimate the area under the curve on L 1 the interval [-…

A: Using Riemann right end points sum, then limits

Q: Find the area of the region bounded by the graph of f and the​ x-axis on the given interval.…

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Q: Calculate R3 and L3 for f (x) = x2 − x + 4 over [1, 4]. Then sketch the graph of f and the…

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Q: The area between the graph of f (x) = x4 and the x-axis over the interval [0, 1]

A: Given equation - f(x) = x4Given intervals = 0, 1Let's draw the curve for the function given -  x…

Q: (a) Estimate the area under the graph of f(x) = 2 + 4x< from x = -1 to x = 2 using three rectangles…

A: Given the function f(x)=2+4x2. Estimate the area of f(x) on [-1,2] using three rectangles and right…

Q: (a) Estimate the area under the graph of f(x) = 2 + 4x from x = -1 to x = 2 using three rectangles…

A: The function given is  f(x)=2+4x2 on the interval [-1, 2]

Q: 2. Find the area between the graphs of the functions f(x) = 8 – 2a2 and 9(x) = 4 – x? over the…

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Q: ind the area under the graph of f over the interval [- 1,5]. x +6 xs3 f(x) = 5x %3D x>3

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Q: Approximate the area under the graph of​ f(x) and above the​ x-axis using n rectangles. f(x)=6/x…

A: The width of the interval [2, 10] is = 10-2=8 There are 4 partitions. So the width of each…

Q: Find the area under the graph of f over the interval [- 1,4]. 2 x +2 x2

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [-1,…

A: Area Under the Curve Formula     The area under a curve between two points is found out by…

Q: 9) Given the function f(x)=-x+4 , find the net signed area between f (x) and the x-axis over the…

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Q: Approximate the area under the curve f(x)=3−∣∣3−x∣∣ over the interval [0,6]. Use n=6.

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Q: Find the Area below f(x) = -x? + 4x +3 and above g(x) = -x +7x² – 10x + 5 over the interval 1šx52.

A: The given two curves are  f(x) = y = - x2 + 4x + 3 g(x) = y = -x3 + 7x2 -10x +5

Q: 13. Find the area bounded by y = -x + 3 and x = 9- y2 13

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Q: Find the area of the region under the graph of the function f on the interval [4, 5]. 9 f(x) = -2²/2…

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Q: nd the area under the graph of f over the interval [-2,4]. x +4 xs2 f(x) = 4x x> 2

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Q: -3x* +x Find the area under the graph of ƒ(x)=- from x=1 to x=4.

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Q: Find the area under the graph of f over the interval [-2,4]. .2 X+6 XS2 f(x) = %3D 5x x> 2

A: To find the area under the graph of the function fx over the interval -2, 4.fx=x2+6,   x≤25x,…

Q: find the area of the region under the graph of the function f on the interval [-27,-1]  f(x) = 1 -…

A: Here Area under a curve on an interval is  analogous to the integral of the function of the curve on…

Q: Approximate the area under the graph of​ f(x) and above the​ x-axis using n rectangles.   f(x)=2x+3…

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Q: Find the area under the graph of the function f(x)=xe^(−x^2) between x=0 and x=5.

A: We first sketch the region using a graphing calculator.

Q: 3x + 2 Find the area under the graph of y = over the interval [0, 5] x +9

A: Since you have asked multiple questions, we will solve the first question for you . . make a rough…

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.