any positive function f(x) that is continuous for a

Q: integral

A:

Q: Approximate the area under the curve of y = -+x+5 over the interval x = -1 to x = 4 using 5…

A:

Q: 8. Find the area bounded by x² – 6x + y = 0, - x² – 2x – y = 0, and the x – axis.

A:

Q: Write a definite integral for the area of the region bounded by y = 2 - x² and y = x2. Do not…

A:

Q: Find the area under the curve y=f(x)=x^3 from x=1 to x=3 using inscribed and circumscribed…

A:

Q: Express the limit as a definite integral on the given int lim [2(xf)3 – 7x*]Ax, [2, 8] i = 1 dx J2

A: We have to solve

Q: Approximate the area under the curve f (x) = x + x² over the interval [0,4] with n subintervals.

A: Approximate the area under the curve f(x)=x+x^2 over the interval[0,4]

Q: The area bounded by y = x2 + 5 and the caxis from x = 0 to a = 5 is

A: given, and the x-axis from x = 0 to x = 5 we have to find area bounded by .

Q: use a definite intergal to find the area under the curve between the give x-values. f(x)=2ex from…

A: Given data: f(x)=2ex from x=0 to x=ln4

Q: Find the area under the graph of x = 4 - y² on the interval [0, 2]. -3 -2 -1 1 2 3 → 1 0 -1 16 3 16…

A:

Q: 16. Find the area bounded by the curve y=-x³--x²+3x and the line y=x. 16 4

A: 16)Given,y=x316-3x24+3x and y=x

Q: Solve the area bounded by the curve y=5-x^2 and the line y=2x. With graph.

A:

Q: Estimate the area under the graph of f(x)=1/(x2+2)   over the interval [3,7]using five approximating…

A: Given: f(x)=1/(x2+2)  over interval [a,b]=[3,7] and n=5

Q: Find the area under 3 sin(x) and above y = 3 cos(x) for 0 < x < T. that this area may not be defined…

A:

Q: Let a denote a positive constant. If the area under the curve y = x√(2ax - x2) from x = 0 to x = a…

A: We have to find the value of a so that area under the curve y=x2ax-x2 from x=0 to a is equal to 888

Q: Estimate the area under the graph of f(x) over the interval [- 2, 2] using five approximating a +4…

A:

Q: sin(z)

A:

Q: Find the area of the region bounded by the graph of f(x)=sin x and the​ x-axis on the interval…

A: Formula used:∫sinxdx=-cosx+C   , C is the constant of integration

Q: 2. Find the Area bounded by the curve y=4-x2 and the x-axis.

A: 2. The area bounded by the curve y=4-x2 and the x-axis Note:    Multiple questions are given, we are…

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

A: Solution -  Given function is - f(x) = sinxWe have to calculate the area enclosed by f(x) from x =…

Q: Find the area bounded by the curve y=11+5x+x^2 and x-axis from x=−3 to x=−1

A:

Q: Approximate the area under the curve of y =-x+ 5 on the interval [0,2] using a right hand…

A:

Q: Find the area bounded by the graphs of y = cos x and y = x² y=x² y = cos x + X

A:

Q: Find the area bounded by y = sin²(x) and y = sin³ (x) from< xS n.

A:

Q: Find the area bounded by y = sin²(x) and y = sin5(x) from 0 < x<

A:

Q: Find the area under y = 2 sin(x) + 2 cos(x) and above the x-axis from x = 0 to x = Tt/2. Leave your…

A: The given function is,

Q: Find the area under the curve y = sin √x /√x between x = π^2/4 and x = π^2

A: Given function

Q: Estimate the area under the graph of f(æ) = 1 over the x2 + 4 interval [2, 6] using four…

A: Apply Riemann left and right sum formula as below:

Q: 4. Find the area of the region bounded by y = sin x) and y = x² – 8x. Be sure to provide a graph of…

A: The region is bounded by,      y=sinπ8x and y=x2-8x

Q: Find the area between y=ln(x-6) and y = (ln(x-6))2

A:

Q: 1. Find the area under the curve y = 9- a2 over the interval[0, 3] using right end point…

A:

Q: Find the area between the graphs of f(x)=sinx and g(x)=cosx for <x< 4

A: Graph of area from π4to5π4 is shown below÷ Red curve = sin(x) Blue cuve = cos(x)

Q: Compute the area bounded by curve y = ln x the x - axis and straight line x=e.

A: Let us consider the curve y=f(x) and y=g(x) in the interval a≤x≤b then the area under the curve is…

Q: 1. Find the total area bounded by the curves y = sin (x), y = cos (x), x = 0, x = n. Graph curves.

A: Given curves are: y=sinxy=cosxx=π So the area between these curves are shown in diagram below: So,…

Q: Find the area under y = 3 cos(x) and above y = 3 sin(x) for T < x < 2n. (Note that this area may not…

A:

Q: 1 over the Estimate the area under the graph of f(x) x + 2 interval [– 1, 3] using four…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Approximate the area under the curve y=f(x) between x=-1 and x=5 using Simpson's rule with n=6…

A:

Q: What is the slope of the curve y = ex at x = ln 2? What is the area of the region bounded bythe…

A: Consider the curves, y=ex,x=ln2 Differentiating with respect to “x” then, dydx=ddxex=exTo  calculate…

Q: Solve using iterated integrals. (with graph) Find the area bounded by x2-6x+y=0 and x2-2x-y= 0

A: The objective is to find the area bounded by x2-6x+y=0 and  x2-2x-y=0.

Q: Find the area under the curve y = x² from x = 0 to -y-x² (1,1) x-1 (3,9) x-3

A: Topic:- application of integration

Q: 5. Find the area under the curve integrate 2/(9 - x ^ 2) dx

A: Given;           ∫29-x2 dx Take the constant out: ∫a.fx dx=a.∫fx dx           =2.∫19-x2 dx Apply…

Q: Find the area under the graph of y = g(x) from -2 to 5, where x³, 4 – x, x 1 -

A:

Q: 3. Find the area between the curve y = 2sinx cos x and the x-axis within the interval [0,2π].

A:

Q: Estimate the area under the curve  y=(x+5)2-2 on the interval from x=0 to x=4.

A:

Q: 1. Find the area bounded by the curves between the curve y=1+x and the line y-1 x

A: area between curve

Q: Estimate the area under the curve of f (x) = x3 – 4x on [-1, 3] by calculating Lg and Rg.

A: To find area under a curve y=f(x). Integrate f(x) from x = a to x = b.

Q: Set up integrals to find the area of the region between f(x) = (x-4)5 and g(x) = x-4. (integrals…

A:

Q: Find the area of the region bounded by the graph of f(x) = x sin x and the x-axis between x = 0 and…

A:

Q: Find the area bounded by the curve y=10+4x+x^2 and x-axis from x=-3 to x=-1.

A:

Q: Find the area under the graph of the function f(x)= 7sin(x) bounded by the x-axis and the lines x=0…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.