find the area of the region under the graph of the function f on the interval [-27,-1]  f(x) = 1 - cube root of x in square units

Q: Find the area of the region under the graph of the function f on the interval [1, 4], f(x) = 6Vx 32…

A: We have to find area under the graph.

Q: Find the area (in square units) of the region under the graph of the function f on the interval [3,…

A: Area under the curve over the given interval:3, 6Area: ∫abf(x) dxA =∫36 (8ex-x) dx   =8ex -x2236…

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

A:

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

A: The given function is fx=4x2 on the interval 4,5.

Q: The total area bounded by the graph of y = r- 1 and the x-axis is represented by 2.

A:

Q: Find the area of the region under the graph of the function f on the interval [4, 11]. f(x) = 2x - 2…

A: use integral to evaluate the are bounded by curve over the interval

Q: Find the area of the region under the graph of the function f on the interval [5, 11]. f(x) = 4x - 6…

A:

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: on

A: Find the area of the region between the graph of fx=1x and the x-axis on the interval [1,9]

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

A:

Q: Find the area between f(X)= -x2+4x and g(X)=x2-6x+5 over the interval 0 ≤x≤ 1. sketch the region

A:

Q: Find the area of the region under the graph of f (x) = 4 − x2 over [0, 2].

A:

Q: In x f(x) (1, 2] 4x

A:

Q: find the area of the region under the graph of the function f on the interval [4,10]  f(x) = 8x - 5…

A: Area of trapezium

Q: Find the area of the region bounded by the graphs of f(x) = x^2 − 4x + 3 and g(x) = −x^2 + 2x + 3.…

A:

Q: Find the total area bounded by the x-axis and the curve y = f(x) on the indicated interval. f(x) =…

A:

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

A:

Q: Find the area of the region under the graph of the function f on the interval [1, 4]. f(x) = 6Vx…

A: Given function is - f(x)=6x We need to find area of the region  under the graph of f(x) on interval…

Q: Find the area of the region under the graph of f on [a, b]. f(x) = x2 – 6x + 14; [-1, 2]

A: Given  function is  : f(x) = x2 - 6x + 14  ; [ -1, 2 ] Method to find area under the curve : The…

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

A:

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

A:

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: Find the area of the region under the graph of the function f on the interval [1, 5]. f(x) = 3x³…

A:

Q: Find the area of the region under the graph of the function f on the interval [0, 10]. f(x) = 10x -…

A:

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: Find the area of the region under the graph of the function f on the interval [1, 6]. f(x) : square…

A:

Q: Find the area of the region between f(x) = x² + 2 and g(x)= x - 1 on the interval [-2,2]

A: The functions are f(x)=x2+2  &  g(x)=x-1

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

A: f(x)=2-x2, g(x)=x

Q: Find the area of the region under the graph of f on [a, b]. f(x) = x2 – 8x + 20; [-1, 2]

A:

Q: Find the area of the region under the graph of the function f on the interval [1, 4]. f(x) = 5Vx…

A: The function is given by fx = 5x To evaluate : The area of the region under the graph of the…

Q: Find the area of the region enclosed between f(x) = 0.2x + 6, g(x) = x, x = -2, and > Area =

A:

Q: f(x) = x, and g(x) = 3 x 2

A:

Q: Find the area of the region under the graph of the function f on the interval [-2, 1]. f(x) = -x2 +…

A:

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: find the area of the region under the graph of the function f on the interval [0,3] f(x) = 3x-x^2

A:

Q: find the area of the region under the graph of f on [a,b] f(x) = x^2 -8x +18 ; [-1 , 2 ]

A: The area under the curve is given by:

Q: Find the area of the region under the graph of the function f on the interval [1, 4]. f(x) = 8/x…

A:

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 under the graph of the function f on the interval [-1, 5]. f(x) = 2x +…

A:

Q: Find the area of the region that lies under the graph of f over the given interval. f(x) = 2 -…

A:

Q: Find the exact area under the graph of f(x)=1 between r=0 and r = 2. Area =

A:

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

A:

Q: Find the area of the region under the graph of the function f on the interval [1, 9]. f(x) = 3/x…

A:

Q: Find the area of the region lying under the graph of f(x) = √4 x from x = 1 to x = 16.

A: It is given that,                 f(x)=4x from x=1 to x=16We have to find the area of the region…

Q: f(x) = e-=/2; [-1,2]

A:

Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x^2-14x g(x)=0

A: SOLUTION-

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.