Question 005: Complete the following question involving Substitution Method. Given the integral dx (6х-7)2 Use the technique that we went over in class to find "u", "u' ", and "dx". u - 6x - 7 I'- 6

Q: Question 1 : Use Runge – Kutta's method of order four to find an approximate value of y for x = 0.2…

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

Q: QUESTION 2 Integrate the following integrals. a) S(3x² – 6x +4)dx b) 2cos 2x++ Vr - |dx

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Q: subparts a,b,c

A: a) Solve indefinite integral.

Q: QUESTION 15 The integral x²e>x dx would be done using integration by parts, with u= ex and dv=x2 dx.…

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Q: [17(xe" +e* )sin(xe*)-14sin(x)dx

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Q: QUESTION 2 16х + 7 Solving the integral /. dx yields: бх2+х— 12 )3 In(2x+3) + –In(3x – 4) +c a.…

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Q: QUESTION 1. EVALUATE. J 1 dx V9x2+4 In (/9z² +4+3zl) +C 3 ||

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Q: Question 5 The Integrating Factor for the DE y dx = (ye-2x)dy is 2y -2y None of These

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Q: Question 16 In (ale) (2-sec2x)emlesec'x sec( 3A – x) What should be the value of A for dx to be…

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Q: Question 002: Complete the following question involving Substitution Method. Given the integral 2x…

A: Given,∫2x3x2+1dxPut    3x2+1 =uthen   6x  = du/dxso,      dx=16xdu

Q: Problem 1. Use integration by parts to solve the following integrals (a) Sxe"dx (b) Sx cos(5x)dx (c)…

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Q: Question 12 The Integrating Factor for the DE y dx = (ye-2x)dy is None of These 2y -2y

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Q: QUESTION 2 a) Evaluate the integral | dx (x-5) +5 b) Show that 5+4x - x² = 9-(x-2) by completing the…

A: (a). From the given problem: I=∫5x-52+5dx   ...1 Let, u=x-5So,ddxu=ddxx-5dudx=1-0du=dx

Q: Question 3. Compute the following integrals. 3.1. S(4x2 – 1)'x dx - 3.2. Sx e5x dx 3.3. S x?cos xdx

A: 31) The given question is =∫(4x4-1)4xdx now first of all simplify the function. (4x4-1)4=(4x2-1)22…

Q: QUESTION 4 The minimum value of n required to approximate dx by composite Trapezoidal rule xe with…

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Q: Question 005A: Complete the following problem involving Substitution Method for Integration Given…

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Q: Question Eight:- Evaluate the 20 points following integral sinx d²y 2t2 dt dx2 In x Your answer

A: on using leibnitz rule.

Q: QUESTION 3 Find dy/dx if cos(xy) = 2xe2y + In(2y) by using implicit differentiation. %3D

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Q: 22. (-5) dx dy

A: Given: ∫-4-1 ∫48 (-5) dx dy To find: Value of the integral.

Q: Question 17 1/2 S. dx and using the substitution = x 1/2, the resulting integral takes the form:…

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Q: Question (1) Find the Following Integ (1) S(x? 1 +3) dx (2) S

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

Q: Question 5. Evaluate the definite integrals. a) 8x dx .5 b) S 2 dy

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Q: Question 02: Solve with suitable condition d'y dx - = 0, where y(0)=2, y'(0) = 3, y" (0) =4, y" (0)…

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Q: S ii) Show the DE is not exact (2y²+3x) dx + 2xydy = 0

A: Solution :

Q: 1) S“(cosx)" dx. 2) Г(-4). 3) В (10,9) 4) Sº x° e-2* dx Ja-x)i 5) o

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Q: dy IN QUESTIONS 1-13, FIND dx 9. y = 3sin®x

A: Solve for derivative

Q: Use the reduction formulas from problem #2, to integrate the following: a) | cos* (3x) dx

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Q: Question 001: Complete the following question involving Substitution Method. Given the integral 2x +…

A: Given:∫e2x+7dx

Q: Question 006: Complete the following question involving Integratin by Parts Method. Given the…

A: Given: ∫6xe9xdx To determine: The value of given integral using integration by parts.

Q: Question 15 9 Calculate the integral: / 4 - 81 dx a) o inla* – 81| + C 1 arctan 18 1 х — 3 - b) + In…

A: see 2nd and 3rd step.

Q: Question 2. For this question consider the standard result: 1 sin-¹ u √1-u² (1) Using (1) and the…

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Q: Question 2 Solve the following integrals by using appropriate substitutions. 4x a) dx 3x2 -1 b)…

A: We can solve the problem by substitute method.   NOTE :: As per our guidelines we are supposed to…

Q: Question 4. Evaluate the following integral. |(r3 + 4)°3x dx

A: ∫x3+423xdx=∫x32+2x3(4)+423xdx  [expanded the square]=∫x6+8x3+163xdx=∫3x7+24x4+48xdx [distributed the…

Q: - dx

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Question 004A: Complete the following problem involving Substitution Method for Integration Given…

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Q: Question 8 Using Simpson's method 2 √ ²x³ dx for n = 4 is equal to

A: Simpsons rule

Q: 16 ) d du -1 cos и — 1<и<1 dx V1 – u² dx

A: As we know that the differentiation properties:- chain rule: ddx(f(g(x)))=f'(g(x))g'(x)…

Q: Find the solution to the Bernoulli Equation. (3siny-5x) dx + 2x² cotydy=0

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Q: Question 9 Cosx -dx, sintx Evaluate the Integral A +C 3sin³x +C sin³x В +C 3sinx -+C sin³x D B.

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Q: Problem 13.1. Calculate the follo gration by parts: (1) Sa sin(3r +1) dx. (2) Sa'e(3r+1 dr. (3) ſ…

A: Since You have posted multiple subparts questions.  As per our guidelines we will do the first 3…

Q: Question 6 a. Solve the following integrals: i. Scos x) sin (-) dx il. SeVI+e*dx

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Q: QUESTION 12 The integral dx can be evaluated using a trig substitution with x+3=2sine. x +6x+13 O…

A: You say to solve the question number 12. So , we will check the problem number 12.  And we will…

Q: 16. Find the indefinite integral: Sox - 4) dx

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Q: Question 1. Determine the following integrals: | 1.1. / 2r sin(a² + 1) dx 1.2. ze

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Q: Question 11 Integrate f 9z2 - 5+dz Type only the numeric value below and be sure to show all of your…

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Q: Question 010: Complete the following question involving Integratin by Parts Method. Given the…

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Q: Question 1 Employ integration by parts to compute dx = ax'e- + de + K.

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Q: Question 5. For this question consider the standard result: 1 ;du = tan¬1 u + u? (1) Only using (1)…

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Q: Evaluate the integral. sin(10x - 2) dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 10 - S sin(8a) arctan(sin 4x)da integralinin değeri aşağıdakilerden hangisidir? 9118002 8(T – 2) a)…

A: Given that  The integral  To evaluate the integral