Question 009: Complete the following question involving Substitution Method. Given the integral 10 dx and the substitution information Зх- 4 u- 3x - 4 u'- 3 dx = du Plug the information into the integral, simplify, and then work out the integral. O 10 In|3x - 4| +C 3 10 +C 3 O -5 +C 3x2

Q: Question 19 Evaluate the improper integral: e-2 x dx a) 1 b) O c) d) -2 1 e)

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Q: Question 10 To integrate --2x+6 dæ, the first step is to a2-a-2 A O Decompose the integrand to , +…

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Q: To treat the integral -24(2x + 1)2 dx as a constant multiple of one of the form u"u' dx, we let n =…

A: the objective is to find the given integral

Q: PROBLEM 9.7. Compute the integral (a + 2a? – a + 1) dr (i) analytically, (ii) using Simpson's rule…

A: Integration of function expression with respect to or gives the value of area under function curve…

Q: Question 16 Evaluate the definite integral - 6 2x2 + 5 d.x 3 194/6 86V3 5 > Next Question

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Q: Problem 9  Evaluate the indefinite integral.  ∫6arcsin(2x)dx=_____________ +C

A: Given integral is Integrating by parts, we get

Q: Question 008: Complete the following question involving Substitution Method. Given the integral…

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Q: Question 005: Complete the following question involving Substitution Method. Given the integral…

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Q: 3(2 + cos t)3 +c Use the appropriate substitution to evaluate the following integrals: . sint (2+…

A: Solution is given as below:

Q: 1 [3x cos (4-x)-8r/4-x² dx

A: Given: I=∫3xcos4-x2-8x4-x2dx   So, we can also write as: I=∫3xcos4-x2-8x4-x2dx=∫3cos4-x2-84-x2xdx…

Q: s [5xt° 1 7 + 1-9х 13) dx e6x+5 + 4 sin(8x + - - - 5 2 Vx3

A:

Q: Chapter 6, Section 6.3, Question 004 Use the Fundamental Theorem to evaluate the definite integral…

A: To evaluate the given definite integral.

Q: Problem 3 Use integration by parts to evaluate the integral.…

A: First of all, use substitution method to simplify the integrand.

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

A:

Q: Question 21 Which of the following integrals is equal to (3x – 5) dx if u= 3x – 7? A @ :/ (u-2) du…

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Q: Question 011 Complete the following question involving Substitution Method. Given the integral S dx…

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Q: Question 009: Complete the following question involving Substitution Method. Given the integral [10…

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Q: Question 010: Complete the following question involving Substitution Method. Given the integral S dx…

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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 Calculate the following integrals: (6х-5)dx 3.1 I = S V3x²-5x+6 dx 3.2 I = S; 1+vx+1

A: Topic:- indefinite integration

Q: To treat the integral -44(2x + 1)-2 dx as a constant multiple of one of the form u'u' dx, we let n =…

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Q: Question 4 1/2 8 a2 Calculate the integral: dr (1 – x2)3/2

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Q: Question 8 Calculate the given integral: / sin? (6x) cos°(6x) dx 1 cos (6x) + 1 cos (6x) + C 30 а)…

A: Explained below

Q: Problem 2. Solve these integrals using integration by parts 2x - 3 -da, er (a) [ 27 (b) logą (r)da,…

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

A:

Q: Question 10 Calculate the given integral: /2 sec°(4x) dx tan° (4x) tan (4x) +tan(4x) + C b) O tan'…

A: Given that  Integral 2sec^6(4x)  To evaluate the integral

Q: Question 008: Complete the following question involving Substitution Method. Given the integral e3x…

A: Solution: The objective is to find the value of the given integral

Q: ep 1 Begin by rewriting the integral into the following form. 1 1= du/dx u x² + 8x + 5 x³ + 12x² +…

A: To integrate..

Q: Question 14 7 da Calculate the integral: 7a - 6) (x + 2) 8. a) ㅇ윽피-6-mlz + 21 + C 7. b) O In r…

A: Given that: ∫7(x-6)(x+2)dx

Q: Question 5 Evaluate the integral and choose the correct answer. Sx [x²1 01 x² ln x dx 01 1 ³x³ + C 3…

A: Evaluate the integral of the function x2lnx w.r.t. x

Q: Question 1 Calculate the integral: (xº) dr a) 지 15 ² +C b) * In(x°) + C 15 e) Or In(x*) – +C d) O-*…

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Q: ☆ 6. Find the integral of xx²-1 O Sin ¹x + C 4 O Sec-¹x + C Cos ¹x + C Sec-1 (1)

A: Here we have to find the integral.

Q: Question 20 In evaluating |x V4-x dx by substitution, if u =4-x then what will be the resulting…

A: We have to find out the integral

Q: Chapter 6, Section 6.3, Question 013 Use the Fundamental Theorem to evaluate the definite integral…

A: Consider the integral

Q: Question 007: Complete the following question involving Substitution Methoc Given the integral (4*…

A: Given integration is  ∫4e8x+11dx

Q: QUESTION 3 Je* sin(3x)dx = %3D e8x OA 73 (3 sin3x – 8 cos3x) + C e° 8x OB. (8 sin3x – 3 cos 3x) + C…

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

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Q: Problem 8  Assume p≠−1 and compute ∫(x^p)ln(x)dx. Your answer should be in terms of p.…

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Q: Which of the following is one of the correct steps to evaluate cos³ dt to obtain the correct…

A: In this we have to find which of the following correct steps to evaluate the given Integral.

Q: Question 1 Calculate the given integral: /cos (7x) sin° (7x) dx 1 a) 규sin (7)-하i (7x) + C 35 sin…

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

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Q: tep 4 Rewrite the integral by substituting for cos 60. 1. sin? 60 5/2 -(n)- cos 66 sin 60 de = 9.…

A: The given integral is sin2(6 theta)√cos(6 theta) sin(6 theta).

Q: Question 14 If we let 4=V5+x, the integral -1 is equivalent to V5+x

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Q: Question 005: Complete the following question involving Substitution Method. Given the integral dx…

A: For the given integralUsing substitution,u=6x-7du/dx =6dx = 16du

Q: Problem 10 Find the integral In(3t²) dt

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Q: Problem 2 Evaluate the indefinite integral.  ∫26cos^3(21x)dx__________________ +C

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

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Q: 2 tan (4x – 1) – 3 cos?(4x – 1) cos (4x – 1) If we let u= 4x -1 for the integral of dx, what will be…

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Q: Question 007: Complete the following question involving Substitution Method. Given the integral 4 dx…

A: Given:

Q: 23. (a) (2n )! [P,(x)]² dx 2 (n!)ª J_, (1 – x*y" dx (b) By making an appropriate change of variable,…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.