Use the substitution formula to evaluate the integral. 27 3 cos2 x sin x dx 1/3

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 8 [+][…

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Q: Evaluate the following integrals. Show the solution. 1. S csc? (7x + 5) dx 2. fx? sec (4x³ + 9) dx…

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Q: co cot (0)csc(0)d0

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Q: Evaluate the integral. 15e cos(2x) dx +C NOTE: Enter the exact answer.

A: This question is based on indefinite integral.

Q: Evaluate the integral (use the substitution) : cos x dp- 9 + sin? x a. 6lu mlp + sin' x| + C 1 b. 1…

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Q: Evaluate the integral / (4e* + 7 cos a) dæ. Answer

A: Given that: ∫05(4ex+7cosx)dx

Q: Which trigonometric substitution would you use in evaluating the following integral? (64 + 9 x²)-5/2…

A: Given ∫(64+9x2)-52

Q: 36 - Evaluate the integral: dx (A) Which trig substitution is correct for this integral? Ox = 6…

A: Given that: ∫3x2-36x4dx

Q: Evaluate the following integral using trigonometric substitution. 36x² - 49 7 S² dx, x> 3 x³ 2 √36x²…

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Q: 4. What is the integral of cos xdx from pi/3 to pi/2? A. 0.134 C. 0.707 B. 0.500 D. 0.293

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Q: Evaluate the integral. | 17e3 cos(2x) dx + C NOTE: Enter the exact answer.

A: SOLUTION-

Q: 2) Use the appropriate trigonometric substitution to transform the integral into an integral in the…

A: “Since you have asked multiple question, we will solve one question for you. If you want any…

Q: Evaluate the integrals. Simplify your answers. c. S cot x sec²x dx 7/3 с. T/4 12 e. S dx

A: c.∫π4π3cotx sec2x dx

Q: b. fsin (x)cos (x) dx

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Q: Evaluate the following integral using trigonometric substitution. dx (1+256x?) dx (1+256x2) (Type an…

A: To find: The value of integral ∫dx1+256x232. Formula used: Trigonometric relation: 1+tan2t=sec2t.…

Q: homework Q36. Determine the following integrals a) ſ 2 cos xdx b)S 5 sin xdx

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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: 2. Evaluate the following integrals. Show all necessary solutions. (a) / sin' 3r cos 3r d sec' r dr…

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Q: If necessary, use two or more substitutionsto find the following integrals.

A: The given integration is I=∫0π2cosθsinθcos2θ+16 dθI=∫0π2cosθsinθcos2θ+16dθsubstitute…

Q: b g(b) Use the Substitution Formula, f(g(x)) • gʻ(x) dx = | f(u) du where g(x) = u, to evaluate the…

A: Answer and explanation is given below...

Q: Evaluate the following integrals. (a) / (csc0)(1+ sin² 0 + sin 0 cot² 0) d0 (b) /: (e) / dr VI-2r2 +…

A: Part(a) We need to evaluate ∫csc θ1+sin2θ+sinθ cot2θdθ Consider: ∫csc θ1+sin2θ+sinθ cot2θdθ=∫csc…

Q: Which of the following is the appropriate substitution to evaluate the given integral using…

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Q: a. b. Evaluate the following integrals 2 dx cos²x√4 tan x- tan² x I [ sin(√a)da dx

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Q: TU f2 sin² p cos6 p dp

A: Solution is given below:

Q: 2 sin e r cos? 0 dr de

A: The integral is evaluation is explained below.

Q: csch(3 tan x) + sin² x cos? x 1. d.x

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Q: sinxdx if Which of the following integrals is obtained? X = Jó 1+cosx こ ド」N

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Q: Q: Evaluate the following integrals 1 sin xsin(x + a)

A: Integration problem....

Q: Find the value of the integral e* cos x dx Select one: a4 n4 .2

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

Q: Q1/ Evaluate the following integrals: (a) / sin' cos를 dx. (b) S dx . (e) Sr² G- 1) dr .

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

Q: 21) Evaluate or find the following integrals 21.1) J? cot x dx

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Q: Evaluate the integral and check your answer by differentiating. sec(x) + cos(x) dx 9 cos(x) + C

A: Formula : ∫sec2x=tanx+c

Q: Bonus: Evaluate the integral cos?x dx

A: To evaluate the integral ∫cos2x dx

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

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Q: Jsing substitution with u = sin(2x), the definite integral sin3 (2x) cos(2x) dx is equivalent to u³…

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

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Q: Evaluate the iterated integral. (T/3 cos(0) 3r? sin(0) dr d0 Jo

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Q: 7) Evaluate each of the integrals below by using antiderivatives. b) f, cos.xdx a) sin xdx cosxdx c)…

A: a). b).

Q: Show that the integral ((? -1) (x+ 1) dx can be evaluated with any of the following substitutions.…

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Q: Using substitution with u = sin(2x), the definite integral sin (2x) cos(2x) dx is equivalent to ...…

A: Use substitution

Q: Evaluate the following integrals. 1/2 (b) sin? 0 cos OdO

A: Given I=∫0π2sin2θcos3(θ)dθ

Q: (d) Find the following indefinite integrals. xer (i) 1+e? xp. (ii) | cos (2r) sin (2r) dx

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Q: 3n/2, #/? (sin 2x)dx

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Q: Evaluate the integral. 3 4 So" F i p² sin o dp dø d0

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Q: What is the integral of cos xdx from pi/3 to pi/2? A 0.134 В 0.500 C) 0.293 D) 0.707

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Q: 5. Which integral requires more work to evaluate? sin“ x cos“ x dx 798 sın x cos x dx or Explain…

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Q: Evaluate the following integral using trigonometric substitution. 7 S √√36x² - 49 x3 dx, x> √36x² -…

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Q: Evaluate the definite integral of the following: a. ∫0π/2 cos(2x/3) dx Read as: The integral of…

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Q: J xe3* dx х S xsenxdx Sx² cos2xdx

A: Given that integration and we solve it by using general rule of integration. Here i attached…

Q: Q.35 The integral sin ede is given by

A: 35 Given integral is ∫0πsin3θdθ Since, sin3θ can be written as sin3θ=sin2θ⋅sin3θ Hence,…