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

Q: 1.) Use the midpoint approximation method to find the area under the curve fx) = 1 - x^2over the…

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Q: Find the area under the curve f(x) = 2x* from x = - 3 to x = 2. Area %3D

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

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

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. + dx -2

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Q: stimate the area under the curve  -(x)2+

A: Here we have to find the area under the curve -x2+1 with an interval of 0,14.

Q: Find the area under the curve 4x²-3x+6 between x = -2 and x=3

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. | Ix| dx -2

A: Follow the procedure given below.

Q: Estimate the area under the graph of f(x) = 4 over the interval [2, 5] using five approxima %3D…

A: Given: f(x)=4x

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: Find the area under the curve y = over the interval [1, 3 -

A: Given y=3xwe can use integration to find area under the curveArea=∫133xdx

Q: What is the area under the curve y = x° and above the x-axis between x = 1 and x = 3? What is the…

A: We have to use integration here.

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

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Q: Ofind integrals to (cotx dx

A: I am attaching image so that you understand each and every step.

Q: Find the area between the curves y = ln x and y = ln 2x from x = 1 to x = 5.

A: The given two curves are,

Q: Find the approximate area under the curve of (X) = x²+1 from x = 0 to x = 2, using 4 left- endpoint…

A: Given curve: fx=x2+1 We have to find area under the given curve from x=0 to x=2. It is given that we…

Q: Evaluate the integrals using integration by parts. ∫xex dx

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Q: The sum that best approximates the area under the curve between the function and x-axis on the…

A: our objective is to find the best approximation

Q: Estimate the area under f(x)-cos x on[ Approximation with 3 rectangles under the curve. (On such a…

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Q: Evaluate the integrals using integration by parts. ∫x3ex dx

A: We have to integrate, ∫x3exdx Integration by parts is used as following ways: We know that if…

Q: Approximate the area under the curve y = x from a = =2 to a = 5 using a Right Endpoint approxima…

A: Consider the given case is y=x2, x=a=2 and x=b=5 where n=6. Then, ∆x=b-an=5-26=12 The six sub…

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: There is a line through the origin that divides the region bounded by parabola y=x-x^2 into two…

A: Given There is a line through the origin that divides the region bounded by parabola y=x-x^2 into…

Q: x arctan xdx

A: To find: ∫x arctan xdx Write arctan x=tan-1x So, the given integral is ∫xtan-1xdx. We know the…

Q: use double integrals to calculate the area bounded by the curves y=x^2 and y = x^4

A: We have to calculate area bounded by curves y = x2 and y = x4, by using double integrals. Given…

Q: What is the area under the curve of the following positive function y = 10x4 + 3x2 between x = −1…

A: Given: y = 10x4 + 3x2 between x = −1 and x = 2 Area=∫-1210x4+3x2dx         =∫-1210x4dx+∫-123x2dx…

Q: Calculate the integral ∫coshx / 2+3sinhx /dx.

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

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Q: Approximate the area under the curve of y =x+3 over the interval x=-3 to x= 1 uning 4 right endpoint…

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

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Q: What is the area under the curve y = cosx over the interval [0 ,π/2]?

A: Integrating the equation of curve in the given interval gives the area

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

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Q: How would I find an expression for an area under a curve y=x^3 from 0 to one as limit

A: Given y =x3  We have to find an expression for an area under a curve y =x3  from 0 to 1

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

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Q: Estimate the area under the graph of f(x) = over the interval [– 3, 0] using four x + 4…

A: The function is given as, fx=1x+4 It is also given that, Number of rectangles, n=4Upper limit,…

Q: 5 -over the interval [4, 7]. Find the area under the curve y = (3x + 1)? Enter the exact answer.…

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Q: Use double integrals to find the area inside the curve  r = 3 + sin(θ).

A: Find the area enclosed by the curve r = 3+sin θ , using double integration method.

Q: 6. Find the area under the curve f(x) = 4x + 2 over the int erval [1,5]

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Q: 10. Approximate the area under the curve of f(x) = 2.x +1 over the interval [0, 1] by using 6…

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Q: 6. Find the area bounded by the curves of y = 6x + x² andy = -x² - 2x, and the linex = 5.

A: The equation of the curves are  C1: y = 6x+x2C2: y = -x2-2xC3: x = 5 To evaluate: The area of the…

Q: make a sketch to show a case in which the area bounded by two curves is most eassily found by…

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Q: Approximate the net signed area under the curve y = x 2 − 2x − 2 on the interval [1, 5] using 4…

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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: Approximate the area under the curve y=3x between x=−2 and x=2 using Simpson’s Rule with n=4…

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Q: Approximate the area under the curve y = x from x = with 6 subdivisions. 3 to x = 6 using a right…

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Q: Calculate the area under the curve y between x = 2 and x 8. %3D

A: Since you have posted multiple questions therefore we will answer the first one for you. If you want…

Q: Find the area under the curve over the indicated interval. [4.3] y = 4 – x²; [-2,1] y = x + 2x + 1;…

A: Please refer the attached image for complete solution.

Q: Approximate the area under the curve 4=メ Right Endpoint from x=3 to メニの USing approximation with 6…

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Q: Find the area between the curve y - x + 9x + 20 and the x-axis from x - -4 to x - -2. (Give an exact…

A: Given, y = x2 + 9x + 20  x = -4 and x = -2  We have to find the area of between the curve y = x2 +…

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

A: