Evaluate the integral by making exactly one u-substitution and applying any necessary formula(s) from this section. 1 .5 cos (8x) sin(8r) dx cos (8 a) COS + C %3D 48 NOTE: Enter the exact answer.

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

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Q: B// Evaluate the following integral :Se cos( 2x) dx.

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Q: Evaluate the following integral or state that it diverges. 00 7 cos x² 6. Select the correct choice…

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Q: 3 Evaluate the integral c Ħ A) 1 B) 77 c) - Ť tan?xdx E)ユ-

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Q: 1 Consider the definite integral dx: o (26 – 7)6 This can be transformed into a basic integral by…

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Q: 1. cos50 sin³0 de TL 2

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Q: Consider the following. 303 cos(@2) de First make the substitution x = 02 and rewrite the integral.…

A: I will solve the following equation and high light the answers by red colour. Hope it would make you…

Q: Evaluate the integral by hand, and check your answer with a CAS if you have one. NOTE: Enter the…

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Q: b2 – a? */2 Given that use this result and the fact that cos(x) dx = 1, together with the properties…

A: Given :    ∫0π22cosx-3xdx and ∫0π2cosxdx = 1 and ∫abxdx = b2 - a22

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

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

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Q: Evaluate the integral sin? t cos t dt by making the substitution u = sin t. After substituting we…

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

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Q: To evaluate x² /1-x² dx using trigonometric substitution, what is the new integral in terms of 0 ? A…

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Q: 1 Consider the definite integral dx: o (26 – 7)® This can be transformed into a basic integral by…

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Q: vi. S cos(3 Inx)dx

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Q: Q: 1. (a) Use an appropriate technique to evaluate the integral dx (2x + 1)v4x2 + 4x (b) Evaluate…

A: 1a): Given integral is: I=∫dx(2x+1)4x2+4x=12∫dx(2x+1)x2+xLet…

Q: 4. Evaluate the following integral by trigonometric substitution [Apply the method that was taught…

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Q: Consider the integral /- tan(0) · In(4 cos(0)) d0: This can be transformed into a basic integral by…

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Q: dx under Which of the following is the statement of the integral 1-Sinx-Cosx a suitable substitu…

A: the given integral is: ∫dx1-sinx-cosx we have to tell which statement is of the given integral under…

Q: ·S- The integral x dx x²+√√√x²-1-1 can be transformed to which of the following using trigonometric…

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Q: I. Evaluate the following integrals. · cos³@de 4. S 1-sin® 5. S tan ( – x) dx

A: To Determine :-  The integral  4. ∫cos3 θ dθ1 - sin θ 5. ∫ tan  x4 - x  dx

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

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Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: | cos* (;x) dx y =

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Q: 6. Evaluate the following integrals (a) x cos? xdx

A: Given: ∫xcos2xdx

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: Evaluate the integral by hand, and check your answer with a CAS if you have one. NOTE: Enter the…

A: We have, ∫cos(6x)8+18sin(6x)dx

Q: 1 a) I = S dx 1+cos(x)

A: Hi, at a time we can answer only one question and the exact one was not specified. So, I have…

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

A: a). b).

Q: 6. Evaluate the following integrals: (a) /sir sin³ x dx

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Q: Evaluate the integral. |a cos (6 x) de = | + C

A: topic - indefinite integral

Q: Consider the indefinite integral dx: (26 – 7)6 This can be transformed into a basic integral by…

A: Explanation of the solution is given below....using the substitution method to solve the given…

Q: II. Evaluate the following integrals. 2. (sin³x)√1 + cos x dx KIN k 플

A: Here is the solution:

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

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Q: Examples: Evaluate the following integrals: 1) S tan?(3x)dx

A: Given integral is: I=∫tan2(3x) dx Let us assume u=3x du=3dx I=13∫tan2u…

Q: ㅠ 10. fž sint p cos3 p dp 2

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Q: 3. Calculate the integral dz, (ke R), and use it to calculate the value of the integral cos(k…

A: GIVEN :-  The integral ∫z = 1 ekzz dz    k ∈ ℝ.

Q: 4 Consider the indefinite integral x° · Vx* + 2 dx: This can be transformed into a basic integral by…

A: We will solve the problem.

Q: Evaluate the following integral or state that it diverges. cos -dx 2 ..... Select the correct choice…

A: To find that the given improper integral converges or diverges

Q: (b) Evaluate the following integrals. (i) 0² sin 20 d0.

A: As per guidelines of bartleby ...Expert will solve 1 question so you will upload 2nd question again…

Q: The resulting integral of 34 What is the value of b? 5x 2+4x+4 dx is In (x²+a) ²¹/b x+d + + e…

A: Given integral ∫5xx3+x2+4x+4dx. We have to find the value of b where…

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: Q6) Evaluate the following integral by using Odd and Even Powers Method: = [ cos* (;x) dx y =

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Q: x dx x² + √√x²-1-1 The integral - (A) cose de can be transformed to which of the following using…

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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: Use the table of integrals at the back of the text to evaluate the integrals ∫cos θ/3 cos θ/4 dθ

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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: 2. Find the following integral: NT u sin du. n.

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