Xarctonx dx which of the following îs the Va lue 1+x2 2) of the întegral în the meaning of Riemonn?

Q: Which among the following is an improper integral? In3 ex In2 4- ex 1 dx X/16 - Inx 1 dx x Inx In2 1…

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Q: Evaluate the integral using appropriate substitution. an V3- a de + C

A: It is required to evaluate integral by substitution.

Q: Evaluate the integral, if it exists.  ∫01 y2 √(y3 + 1) dy

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Q: 0. Everlueik he integral (ez)Esmz dz, where Ci12|=1, by any and two methods Compare the geselts.

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Q: Evaluate the integral by making the given substitution. Sx x +2 dx, u = x³ +2

A: The given integrand is  x2 (x3+2)1/2

Q: b) Evaluate the integral by parts. S, x* Inx dx

A: given I= ∫1ex4 ln x dxby using LIATE rule we can rewrite integral as    I= ∫1e ln x   (x4) dx     =…

Q: 4 dx, u= 1 + 2x (1 + 2x)

A: Explanation: Given that: ∫41+2x3dx,      u=1+2x Concept: 1. ∫xndx=1n+1xn+1+C Calculation: First…

Q: Evaluate the integral by any mothod d choice: dx (b) e* dx

A: Consider the given: ∫1x-x3dxApply u…

Q: The integral TT tan x sec?x dx 2 O none of them is an impróper integral of type I that diverges is…

A: Improper integral

Q: Using only the definition of RS-integral, evaluate 2 ,2 d[x}.

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Q: Using only the definition of RS-integral, evaluate .2 x* d[x}.

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Q: 3 9-x 1 dy dx dz V9-2? (x² + y²)1/2 3

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Q: dw V5 – e-2

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Q: Using only the definition of RS-integral, evaluate 2 |x* d[x}.

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Q: Evaluate the double integral. 8ху? dA, D is enclosed by x = 0 and x = 4 – y2

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Q: Sx²e2x*dx `x²e?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Express the integral in terms of the variable u, but do not evaluate it. rell In x dx; u = In x %3D…

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Q: Which is NOT included in evaluating the integral? 2 + Vx) dx а. dx

A: The answer of the following questions is given below...

Q: Express the integral in terms of the variable u, but do not evaluate it. relo In x dx; u = In x es…

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Q: Express the integral in terms of the variable u, but do not evaluate it. rel6 In x - dx; u = In x e9…

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Q: Reverse the order of integration in the iterated integral and then evaluate the integral. NE p2-x*…

A: The region of integration is

Q: The improper integral A 1 B 0 C St edx is

A: To solve the improper integration.

Q: Which of the following is the general power formula for integrals whenever n # -1? Sx"dx = x"+1 + C…

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Q: Which of the following is incorrect about the properties of an integral? rx)dx = - L, f(x)dx Si…

A: As we know that from property of definite integration.

Q: SJcos (In x) dx Evaluate the integral

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Q: Which of the following integrals are improper? Why?  integral -1 to 1    ( 1/ x 2 -x -2 ) dx

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Q: Use inversion order to the ff integral, the limits of the innermost integral must be a. √x to x b. X…

A: ∫01∫y2y1-x2dxdylimit of y is from y=0 to y=1limit of x is from x=y to x=y2draw region bounded by…

Q: Evaluate the integral. x sec?(8x) da +C

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Q: (a). Evaluate the following integral 1 dx x(x-1)? 2 -In(

A: Since all are different questions. So as per our guidelines, we are supposed to solve only first…

Q: Using only the definition of RS-integral, evaluate .2 x* d[x).

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Q: Finel the integraL of finchio XSina) wher ne 5 and (0,2) by Simpsors rule 3.

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Q: Evaluate the integral. re 8 In(x) dx NOTE: Enter the exact answer.

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Q: Which of the following is incorrect about the propertics of an integral? s F(x)dx = - f(x)dx Sa…

A: To find the incorrect property for the functions f and g, where f and g are continuous in the…

Q: Evaluate the improper integral dx (5 – x)³ K MANUSIA KERANA T

A: Recall: Improper Integral:      If f(x) is continuous on the interval [a,b) and not continuous at…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V6y + 1 +C

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Q: Evaluate the integral. | (In(3.x))² dx = +C

A: From the given problem: I=∫ln3x2dx  ....(1) Let, t=3x So, ddxt=ddx3xdtdx=3dx=13dt Nw substitute…

Q: Q7. Estimate the integral of y with respect to x , evaluated from -1 to 1. Use 11 values of x ,…

A: Using the code for Trapezoidal Rule-

Q: 11. The integral of nunex dx is bln]sec(In(2x)")|. What is b? A. 2 B. 2 C. 4 D.

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Q: dz ins- , if we let y=Vz+4, then the new integral becomes z+4 -2 у-2 True B False

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Q: Evaluate the integral using property of So √x e² dx' the F

A: Given:  To evaluate ∫x1/2*e-2xdx using property of pdf ?

Q: (b Set up (but do not evaluate) the given integral in the order da dy dz. Show your work!

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Q: Which one of the following double integrals is equivalent to the integral 2x-x2 Vx2 + y2 dy dx? 0.…

A: The integral in Cartesian coordinates is : We first try to look at the region of integration here:…

Q: Which among the following is an improper integral? 1 A x[In?(3x) – 4] Inx x[In*x- 1] ` .0.5 1 dx…

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Q: (e2x –1)2 dx 1. e 2x

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Q: Find the double integral ff (x² + y² do, over R={(x, y):-1≤ x ≤ 1,0 ≤ y ≤ 2}. 1.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Evaluate the iterated integral. 6 r8 × Jo Jo (x + y) dy dx

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Q: Express the integral L Ey.2) dadrdy as an iterated integral in the other five different ways.

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Q: Evaluate the integral. H (z(1 – 2z)*) dz =

A: topic - definite integral

Q: Which among the following is an improper integral? In3 ex xp- |4– ex In2 e 1 X/16 - Inx e 1 x Inx…

A: Improper integral :It is a definite integral . There are two types of improper integrals :- First…

Q: Evaluate the integral of ax^2 e^bx dx assume a and b are constants.

A: Please see the explanation below