If the change of variables u=x²+4 is used to evaluate the definite integral f(x) dx, what are the new limits of integration? 2 ... The new lower limit of integration is

Q: Evaluate the integral. (Use C for the constant of integration.) dx - x2

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Q: Determine whether the improper integral diverges or converges. dx 1. (2х-1)3 dx 2. x +1

A: No.2 The improper integral is of second kind where f(x) = 1/(x+1) has one point of infinte…

Q: Evaluate the integral. (Use C for the constant of integration.) (x2 + 2x) cos(x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) √x²√3 dx √3+2x-x²

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Q: When using a change of variables u = g(x) to evaluate the definiteintegral, how are the limits of…

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Q: Evaluate the integral dx et – e-x

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Q: Explain why the limits of integration are changed when u is substituted for an expression in x in a…

A: The limits of the integration are substituted at the end of the integration when the function is…

Q: Given the definite integral, its limits are to be substituted to x³ dx x + 1 x² x² 2 x3 3 Option 1 +…

A: Given problem:-

Q: Evaluate the integral. (Use C for the constant of integration.) 2 dx ex/2

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 + 7x + 1 dx (x2 + 1)2

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Q: If the change of the variables u=x^2-7 is used to to evaluate the definite integral upper 6 and…

A: Explanation of the answer is as follows

Q: Find the value of the definite integrallo 2 cos ( x ) dx given that the antiderivative for the…

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Q: use integration by parts to establish the reductionformula.

A: Integration by part formula: ∫uvdx=u∫vdx-∫u'∫vdxdx

Q: If -2 5 [° f(x)dx = [__ * f(x)dx + [_^¸ ƒ(a)dx − [¯* f(x)dx, -8 what are the bounds of integration…

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Q: Evaluate the integral dx (x + 1)(x² + 1) Sz

A: The integrand can be written as:…

Q: Evaluate the integral. (Use C for the constant of integration.) dx x2 + 25

A: SOLUTION-

Q: evaluate the definity integral  from -10 to 10  (2 - x)dx

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Q: If the change of variables u = x2 - 4 is used to evaluate the definiteintegral, what are the new…

A: ∫24fx dx Here the lower limit is x=2 & upper limit is x=4.

Q: S°(xe* + 1)dx

A: In this question we have to solve the given integral by using some of the newton-cotes rule.

Q: 1. Sketch the graph of the function y = f(x) = 3 – V4 – x² over [-2, 2] and use this to evaluate the…

A: Given: The function y=f(x)=3-4-x2,             Interval: [-2,2]             Integral:…

Q: Find the value of∞ If the approximation of the integral f f(x) dx by trapezoidal method is given by,…

A: We have to use the trapezoidal formula to approximation of integral  ∫01f(x)dxThe approximate value…

Q: If 9. 3. 6. f(x)dx = || f(x)dz + 6. what are the bounds of integration for the first integral?…

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Q: If the change of variables u = x + 1 is used to evaluate the definite integral f(x) dx, what are the…

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Q: Use the Trapezoidal Rule to approximate the integral of e^(3/x) dx from 2 to 3 with n=4 . Round the…

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Q: Evaluate the integral. (Use C for the constant of integration.) x²e&x3 dx

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Q: Evaluate the integral –4x3/2 In(x) dx, x >0 Note: Use an upper-case "C" for the constant of…

A: Evaluate the integral

Q: If f(x)dr what are the bounds of integration for the first integral? a = and b

A: If ∫abf(x)dx=∫-65f(x)dx+∫58f(x)dx-∫-6-2f(t)dt To determine the bounds a and b.

Q: 4. Evaluate the following integral by first reversing the order of integration dx dy.

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Q: Evaluate the integral. (Use C for the constant of integration.) x cos(6x) dx

A: Let, u=x and dv=cos(6x)

Q: If f(x)dx - + what are the bounds of integration for the first integral? a = and %3D

A: To find the bounds of integration

Q: 2 (F(x) + x³)dx = ? %3D -1

A: Given that the area under f(x) in [-1,2] is 10br2 So,

Q: Evaluate the integral. (Use C for the constant of integration.) sin (x) cos (x) dx 4.

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Q: Set up a definite integral to find the length of the curve  y= (3/4)x(4/3) - (3/8)x(2/3) over the…

A: The given curve is,

Q: Evaluate the integral. (Use C for the constant of integration.) e2x dx

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Q: Evaluate the integral. (Use C for the constant of integration.) (x2 + 3x) cos(x) dx

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Q: If the substitution x = sin y is made in the integrand of . - A dx, the resulting 1-x integral is

A: Put value in  given  integral

Q: 9. If the change of variables u =x- 2 is used to evaluate the definite integral f(x) dx, what are…

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Q: Evaluate the integral. (Use C for the constant of integration.) xổ dx

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Q: Calculate an approximate value of the integral x2 dx by dividing the 1+x interval into 4 equal parts…

A: In the question we have to find the value of integral by using Simpson's one - third rule.

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 36 dx v3

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Q: How many times do you need to integrate by parts to reduce ff(In x)° dx to an integral of In x? ·

A: Given integral is ∫1eln x6dx

Q: Evaluate the integral. (Use C for the constant of integration.) cos−1(x) dx

A: Use the method for integration by parts to determine the given integral. I=∫cos−1xdxLet…

Q: Evaluate the integral. (Use C for the constant of integration.) At dt te-4t

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Q: Give the general antiderivative for the integrand in the definite integral (cos +1)dx. cos x

A: Simply integrate and put the limit than simplify.

Q: For the area bounded by the x-axis and the function f(x) = x² – 3x + 2, using Euler's Forward…

A: Note: We are not given number of steps for the approximation. Graphical Representation:

Q: Evaluate the integral. (Use C for the constant of integration.) 4x 4 + 4x dx e

A: We have to find

Q: Evaluate the integral. (Use C for the constant of integration.) cos-1(x) dx

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Q: 4. Evaluate this integral by reversing the order of integration: Vy3 +1 dy dx.

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Q: Evaluate the integral. (Use C for the constant of integration.) x dx

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