After choosing the appropriate trigonometric substitution the integral -dx, becomes J4 x O None sin (0)de cos (6)de cot-(0 de

Q: 1. Evaluate the following integrals. (a) (cot 0 + csc² 0 sin 20) d0

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Q: 1 What trigonometric substitution should be used to evaluate the following integral: - dx V9+x O A.…

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Q: dx When the integral | is evaluated by trigonometric substitution, ex/4 – e2x dx in terms of 0 is ?…

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Q: 1. Evaluate the following integral using trigonometric substitution. dx x>3 Vx² - 9 dx Vx² - 9 (Type…

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Q: Using the trigonometric substitution, the integral dx I = (x² – 100) Vx2 – 100 is equal to the…

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Q: y? dy = In Vy² + 3 + y V3 5. y :+C (y? + 3)i /y² +3

A: on solving this we get the

Q: After choosing the appropriate trigonometric substitution the integral dx, becomes

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Q: Evaluate the following trigonometric integrals 1+cos 2x S cos? x dx Hint: Use the formula cos? x : 2…

A: We know that, cos2(x)=12(1+cos(2x)) also  sec2(x) - tan2(x) =1

Q: dx The integral can be transformed to which of the following when trigonometric substitution is…

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Q: the integral dx Va? – x? e may use x- educe the integral to a sine and dx= a cose de substitutions…

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Q: After choosing the appropriate trigonometric substitution the integral 4 x² dx, becomes 4 cos (0)de…

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Q: Consider the following integral dx - After making the trigonometric substitution x = 3 sin 0, which…

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Q: For each of the integrals choose the correct trigonometric substitution for æ and find dr. Do not…

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Q: x = 6 sin 0 is an appropriate trigonometric substitution for the integral Select one: True O False √…

A: Given: The integral ∫x2-36xdx Check the substitution for x=6sinθ is true or false.

Q: Given: √√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? A…

A: The given integral is: I=∫-x2+4x+5dx=∫9-4+4x-x2dx=∫9-4+4x-x2dx=∫9-(x-2)2dx

Q: dx The integral can be transformed to which of the following when trigonometric substitution is…

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Q: 1+cscx cot x substitution, the integralf dx is equal to: X-CSC X

A: We have to solve

Q: The integral A / B © S D x² + x dx can be transformed to which of the following using trigonometric…

A: Explained below

Q: dx When the integral| is evaluated by trigonometric substitution, exV4 – e2x the integrand is…

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Q: Find the trigonometric integral. (Use C for the constant of integration.) (cos(20))(sin(0) +…

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Q: By using a trigonometric substitution x = 3sece ,where 0<0 < 27 The integral dx x3 Vx2 – 9 can be…

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Q: 1+I dx Which one is the best substitution for evaluating the integral f cos Oz = u? Or = cos 20 I =…

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Q: Evaluate the integral 7x sin y dy dx. 00 The value is (Type an exact answer, using x as needed.)

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Q: After choosing the appropriate trigonometric substitution the integral 4 x dx, becomes

A: Apply trigonometry property and solve it

Q: 1 dx becomes: Using a trigonometric substitution, the integral x* V1-x? Select one: Jcsc* e de Sante…

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Q: Evaluate the integral |2x sin y dy dx. 0 0 The value is (Type an exact answer, using a as needed.)

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Q: Given: S√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? 9…

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Q: (a) Use an appropriate substitution to integrate the following. V1+4x (b) Use a trigonometric…

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Q: 1. Find the length of the curve y = In(1 – x²) for x between x 0 and x 1/2. %3D O and x 2. Evaluate…

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Q: The integral B D x dx can be transformed to which of the following using trigonometric substitution?…

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Q: Evaluate the integral by following the steps given.

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Q: dx ex√4-e²x the integrand is transformed into? (a) cos² 0 (c) sin² 0 (b) sec²0 (d) csc²0 When the…

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Q: Q1: Using by part integration: e Evaluate: sin ( In x)dx? 1 Add File

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Q: 1 Using a trigonometric substitution, the integral - dx becomes: Select one: e de Scos'e de cose de…

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Q: dx U x" Jx? +3 4

A: To find out the integration.

Q: Find the trigonometric integral. (Use C for the constant of integration.) [" (cos(20)) (sin(0) +…

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Q: (a) Calculate the following integrals exactly: cos 0 sino dO. Enter an exact answer. π cos?0 sin0 do…

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Q: 9x dx de (16 + x²) ² (Type an exact answer.)

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Q: 9. Find the area of the region in the first quadrant that is inside r = 4 sin 0 and outside r2 = 8…

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Q: To evaluate the integral x2 dx, Vx2 - 4x + 20 using trigonometric substitution, wh substitution…

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Q: Find or evaluate the integral. (Use C for the constant of integration.) sin(e) de 17 - 10 cos(e)

A: We  have to evaluate integral ∫sinθ17-10cosθdθ Substitute t=17-10cosθ…

Q: Given the integral S5x+ cos(7s) dx Use the technique that we went over in class to find "u", "V",…

A: Given ∫5x*cos7xdx   using by parts technique determine u, v and du

Q: To evaluate the integral x² dx, x² -4x + 20 using trigonometric substitution, which substitution…

A: Answer is option B.

Q: x2 dx Using trigonometric substitution, the integral is equivalent to 2 Vx²–4 z/2 A 4 sec20 tan0 d0…

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Q: The appropriate trigonometric substitution that solves the integral S Vx? – 4x – 5 dx - A) x = 2 +3…

A: Simplify the given integral  ∫x2-4x-5dx=∫x2-5x+1x-5dx                          =∫x(x-5)+1(x-5)dx…

Q: Evaluate the given indefinite integral. 7 c 7 cos √6x dx= [ (Type an exact answer. Type an…

A: Solution: ∫7cos 6xdx Apply integration by parts

Q: What is the value of the integral f sin(6z) arctan(sin 3r)dr? a) 3(7 – 2) b) c) d) 6(* - 2) e) - 3

A: Let  I=∫0π6sin(6x)·tan-1sin3x dx =∫0π6(2sin3x·cos3x)tan-1sin3x dx   ∵sin2x=2sinx cosx Assume,…

Q: 1 Simplify the integral dx using an appropriate trigonometric substitution. V(a – 1)2 – 1 sec 0 de…

A: Given- ∫1x-12-1dx To Simplify- The above integral.

Q: The appropriate trigonometric substitution that solves the integral S V5 + 4x – x2 dx - A) x = 2 + 3…

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Q: * Which of the following integrals will yield an inverse trigonometric function? dx A 9– 16x2 wdw…

A: To determine the integral among the four given integrals which gives an inverse trigonometric…

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.