We can compute an improper integral as a limit over regions of a different shape: -2-2 dady √ √ = lim 00700 ال Use these definitions to conclude that: Sa e where Sa is the square [-a, a] x [-a, a]. We also know that: (Sexda) (1 e ² dy) = ₁ Lode=√e -2:2 е dx = √√T -²-y² dxdy

Q: I need help on how to contruct the definite integral needed to find the area of the geometric shape…

A: Formula of area of triangle is = (1/2)*b*h, where b=base, h=height

Q: Use Parseval relation to evaluate the integral sin [(*) * dw

A: Parseval's theorem is written as where The following are the standard  Fourier transforms and can be…

Q: Which method from the following is better for accuracy to find the value of any define integral. 1-…

A: To check the accuracies of  Simpson's 1/3rd rule and Simpson's 3/8 rule.

Q: Use the concept of the definite integral to find the total area between the graph of f(x) and…

A: Given that, the function is fx=11x2-44 and x∈-2,2. It is known that, the area of the function f(x)…

Q: Express the limit as a definite integral on the given interval. Assume that the interval [a, b] is…

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Q: 5 x*-x³+3x² 1

A:

Q: 4. Set up the integrals to find the area bounded by f (x) = 3x³ – x² – 10x and g(x) = -x² + 2x. %3D

A: To determine: The integral which represents the area bounded by given functions.

Q: (a) •√x²+1dx (b) b) [sec³ sec³ x tan x dx

A:

Q: Polynomial Function Leading Coefficient Degree y-intercept X-intercepts Sketch of the graph 1. y…

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Q: The accumulated change (or definite integral) of f from a to b is n- o 2 (x,*) Ax i = 1 f(x) dx =…

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Q: Use the comparison theorem with f(x) = 1 √x [₂² to show that 1 X- is divergent.

A: Show that ∫2∞1x-1 is divergent.

Q: For the integral be rewritten as av 1² 20x³ sin (5x + 6) dx, we can choose an appropriate function u…

A:

Q: 1) Let f(x)=√x. We wish to put upper and lower bounds on the length of f(x) from x = 0 to x = 1. a)…

A: First, we shall plot the function f(x)=x3 in the interval [0,1].

Q: (a) C is the real axis from - to ∞. -∞ (b) C is a circle of radius 0.5 centered at i. (c) C is a…

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Q: Use Taylor's Theorem with n = 2 to approximate √1+x, x>-1.

A:

Q: Use the graph of f(x) below to evaluate the given integrals: a. xp (x)f*J q c. f) dx d. f) dx Lf) dx…

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Q: Let f(x) = 3 - x² and g(x) = 2x². Write an expression involving definite integrals whose value is…

A: we are given two equations and we need to form the equation that represent the area bounded by these…

Q: and g are continuous functions on D), the area and g is given by A = (f(x) – g(x)) dx.

A: Given that: f and g are two functions.

Q: (b) If [ f (w)dw = 7, find f(5-2x) dx

A: (b) Given,

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫dx/x√(7 - x2)

A: Given integral, ∫dxx7-x2we have to evaluate the given intewgral;

Q: Q2\ Find the limits of the following integral ym Inx 2 4 cos 20

A: