8. Approximate the value of xIn(x+1)dxusing left endpoints with n-4. Round to three decimal places.

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A: solution of the given problem is below using laplace transformation...

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Q: S. S. dy dx

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Q: S²³² The numerical value of -3√9-2 dx will be equal to

A: Given that ∫-33x9-x2dxSolution:odd even property if f is odd f-x=- fx  then ∫-aafxdx=0

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A: You have not specified the method. I have therefore used the Newton Raphson method.

Q: 9. z In(1 + x²) dx

A: As mentioned to solve only question number 9.Question number 9,Given,          ∫xln1+x2dx

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A: We know that, ∫cosθdθ=sinθ+C           ⋯⋯1∫sinθdθ=-cosθ+C     ⋯⋯2 (a) We have, I=∫cosaxdx Let us…

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Q: -п/8 S sec? (2x)dx

A: We have to evaluate the definite integral: ∫0π8sec22xdx Assuming, t=2x Then definite limit will also…

Q: 57. Verify that S2 yields the exact value of | (x – x³) dx.

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A: Given :                      ∫e2x1+ex dx     Substitute u = ex+1  ,  dudx = ex…

Q: (3) SaʼIn a dx =

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Q: 1 en (enx)+ dx (enx)?

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Q: 4. Find an approximate value for fo In 1+x³| dx.

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: iii. Sx coth-x dx.

A: (III) Apply the integral by parts rule, ∫u.vdx=u∫vdx-∫dudx.∫vdxdx Here, u = x and v=coth-1(x) As we…

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A: Topic:- application of integration

Q: What is the value of , x(x + 1)+ dx ?

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Q: Find an approximation to the solution rounded to four decimal places. 2 = 3

A: The given equation is  21-x=3.

Q: 5 dx, correct +2x²) Problem 19. Evaluate (3 to 4 decimal places

A: ∫0152x2+3dxSubstitute u=2x3→dudx=23→dx=32du=∫532(3u2+3)duSimplify:=523∫1u2+1duWe know that…

Q: Q3 Calculate the value of the following integeral: dx (1) S 2x√x-1 etan ¹x 1 + x² - dx

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Q: 46-% dy dx change bheorder and eva/ute.

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Q: find dy dx 15 In 4+ xe) 6

A: dlnax+bdx = a.1ax+b.

Q: - 1 dx

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Q: 1. Use a substitution to find (6x2 2)e*+¤ dx showing working.

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Q: zc)z (32- 5х) dx —

A: We have to find

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A: Differentiation is the rate of change of some variable with respect to the other variable. If a…

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Q: Inx 17. Determine S dx

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Q: So Si S*x 1 су-х ху dzdydx

A: Let the integral be  I = ∫01∫x1∫0y-xxydzdydx 'I' can be solved directly by integrating individual…

Q: x² dx 4

A:

Q: Use Gaussian Quadrature of order 5 to approximate 08 6 2 x-1 To how many decimal places is this…

A: Given that,    f(x)=∫286x-1dx                                  1 Using the Numerical Integral by…

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Q: Differentiate the following. 4. 11 y cosec (sec x') 43 tranh2x

A: We need to differentiate the above two expressions with respect to x.

Q: 1. Use the substitution method to evaluate S₁² VAZ ²³ + 50 dx

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Q: find dy/dn in5 フx 34+2

A: Since you have posted multiple question We solve only first question  for reaming question post…

Q: gro) = 2 13D Find the folution to the intial value problem

A: First we find the auxiliary equation then use the initial condition to get the general solution.

Q: S16 – x2" Quiz: integrate the following equation x3 dx 16 -x2

A: The formula for the substitution method for definite integrals is given by, where g'(x) and f(x)…

Q: 9. For what value of k, k> 0, does (4kx-5k) dx = k² O 1 O 2 3 O 4

A: On solving this we will get

Q: Using Simpson's rule, what is the approximate value of ſ dx with n 10?

A: Given that, the integral is ∫0211+x3dx and the value of n=10. Note that, the Simpson's rule…

Q: In (x) -dx is equal to x2 The numerical value of

A: Given is an integration and we have to find it's numerical value. Here, we use the Integration by…

Q: Q1: what is on (3x) SI2 dx x2

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Q: differen tiatin, de tomine dx リ= (aH) (xs) 5 (as) (x-+)

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

Q: d 53. cosh? (9 – 31) = –6 cosh(9 – 3t) sinh(9 – 3t) dt

A: Given derivative is ddtcosh29-3t.

Q: Without using a calculator, determine d/dx{2e^3x *cosh 4x−e^7x} in simplest terms.

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Q: dy y(ln y – In a + 1) dx 1 C = -ln C = -In Option 4 O option 2 1 C =-In

A: This question is based on solution of differential equation.

Q: 19. S.cosTa de cos7x dx 5

A: