Watch the video on the integral of sin(ax)cos(bx) and the video on the p two cosines with different arguments e before answering this question. To compute the integral cos x cos 3x dx we start by transforming it to cos 4x dx cos (3x) dx cos 4x 2 cos 2x dx cos 4x + cos 2x dx 2

Q: 2. Evaluate the integral ſcos (3x) sin (3x)dx in two ways, one with u = sin(3x) and the other with u…

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Q: The suitable substitution to evaluate the integral cos (2x) dx is csc (2x)

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Q: The suitable substitution to evaluate the integral tan (2x) dx is 4 C cos“(2x)

A: Explanation: Given that, ∫tan52xcos42xdx

Q: The integral of the given function | cos(9x) cos(5x)dx is equal .. 14 sin 4x + 4 sin 14x А. · + C 12…

A: This question can be solved by applying the formula of 2.cosA.cosB

Q: Step by step

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Q: EVALUATE 3 x2 +1 cos dx -1 dx x2 +1 А. cos В. О C. 2/ cos 3 dæ x2 +1 D. 1

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Q: Evaluate the following integral. 2 14 1+ cos 2x dx S14/7 | 14 1+ cos 2x dx = (Type an exact answer,…

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Q: Obtain a formula that expresses the integral ∫cosn x dx

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Q: Evaluate the integral:: 1. § 4+0²³²- dz e² · cos³x + 8 sin x cos²x + 6 sin²x dx ; cos x ‡ 0 2.5.…

A: We have to find value of given Integral.

Q: The integral of (10*/ cos 10*)dx may be written as A In sec B* + tan B*|+ C. Where A, B, and C are…

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Q: Evaluate the following integral. 3 4 4 cos '3x xp. sin 3x 1 18 4 4 cos '3x dx = V1- sin 3x 18 (Type…

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Q: Which of the following is true? cos(x) + cos(7x) A Scos(3x)cos(4x)dx = J 2 J sin(4x)cos(3x)dx = […

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Q: evaluate the integral

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Q: What substitution should be used to solve the integral x²dx |4+9x² O sin u=3x/2 sec u =2x/3 O sec u…

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Q: The suitable substitution to evaluate the integral V tan (2x) dx is cos (2x) COS

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Q: Sešx cos 8x dx 3x [8 sin 8x - 3 cos 8x] + C A) 73 B) 73 [8 sin 8x + 3 cos 8x] + C C) (8 e3x sin 8x +…

A: MULTIPLE QUESTIONS:   “Since you have asked multiple questions, we will solve the first question for…

Q: 2. Evaluate the integral. COS X dx sin? x

A: Given- ∫cosxsin2xdx To Find- The value of the integral.

Q: Evaluate the integral. 7/2 cos 6x dx COS -T/2

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Q: Evaluate the integral.  integral  cos 2 x sin 2x  dx

A: Given integral to evaluate  ∫cos2xsin2xdx substitute sin2x=2sinxcosx ∫cos2xsin2xdx=∫cos2x2sinxcosxdx…

Q: Which of the following is true? O Scos(3x)cos(4x)dx= [ r cos(x) + cos(7x) dx B Jsin(3x)cos(4x)dx= […

A: Option D

Q: Integrate the square root of ( 1- cos x) dx O 2 sqrt(2) cos (1/2 x) + C O - 2 sqrt(2) cos x + C - 2…

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Q: Evaluate the integral. cos(5 x) dx

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Q: Evaluate the integral 7sin^2(x)cos^2(x)dx, from 0 to pi/2

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Q: Evaluate the integral: 20 cos(20x+3) dx 23 sin (20x+3) Choose the most appropriate answer. Sin3 69…

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Q: The value of the integral . rcos ydydr is cos 8 cos 4 b. - cos 8+ cos 4 2 1 c. cos 8 – cos 4 + Cos 8…

A: SOLUTION-

Q: Evaluate the integral. [ 4 cos4 6x dx

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Q: Evaluate the integral. 7- sin 6x dx 6 7n 1 7n 1 18

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Q: The value of the integral (s cos (r) dr is S COS Select one: O s(cos(2) – cos(0)) -

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Q: Which of the following is one of the correct steps to evaluate cos'x dx to obtain the desired…

A: Solving

Q: Obtain a formula that expresses the integral [cos". cos" x dx

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Q: Evaluate the integral. sin (8t + 16) dt cos (8t + 16) sin (8t + 16) dt = cos (8t + 16)

A: Solved below

Q: Evaluate the indefinite integral. | cos(8z) /4 – sin(8z) da = +C.

A: Let I is the value of given Integral

Q: Evaluate the following integral. |2 cos (2x)dx [2 cos (20)dx =

A: as per guidelines, I can answer only one question. To know rest, please re upload particular…

Q: The integral / 2' )cos(2*) dx takes the form k cosu du when u=2* and f (x) =x- 5. What is the value…

A: we use the formula ddx(ax)=ax lna

Q: Evaluate x2 dx Select one: on O(sin (2r- 1) + 2(2 (2ain (r) + sin(2si To (stn(2 1I) 2(2r sin(2sin

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

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Q: 8. 6x° cos (x³) dx

A: ∫ x8cosx3dx

Q: The suitable substitution to evaluate the integral cos°(2x) dx is 5(2x) 3 csc°(2x) u = sin(2x) u =…

A: First, simplify the integrand and use the substitution method

Q: 1. Evaluate the integral 7/2 cos xesinx *dx

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Q: Find the indefinite integral. х cos 9пх2 dx

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Q: Multiply the following formula by 0 and integrate from 0 to 1/2: sin (2n + 1)0 1 + cos 20 + cos 40 +…

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Q: Determine dy/dx of = 3x(sin(2/2)) O None of the choices O 12/cos (2/2) + sin(2/2) 0-12 sin(22) + 3…

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Q: 2. Evaluate the integral J cos (3x) sin°(3x)dx in two ways, one with u = u = cos(3x). Even though…

A: Given: Apply u-substitution method. Use two methods u=sin(3x)  and u=cos(3x)

Q: Evaluating the integral (cos x- 2sin x)dx gives: А. -2 В.О С. 1 D. -4

A: Option D is correct Explanation is given below

Q: Evaluate the integrals ∫(2θ + 1 + 2 cos (2θ + 1)) dθ

A: To evaluate ∫2θ+1+2cos2θ+1dθ

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

A: Given that: ∫π/32π3cos2x.sinxdx

Q: 7. Evaluate the following integral: 30 cos (2x) sin2 (2x) dx

A: Given that: ∫30cos3(2x)sin2(2x)dx

Q: 5) Determine the following indefinite integral cos (3x) (1 – sin(3x))(2 – sin(3x)) -dx

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Q: One of the correct steps to evaluate A sin²20d0 [² B cos 40d0 C) None Ⓒ//ww D do + sin²20d0 Ⓒ = [ √…

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Q: Substitute the expressions for u and v in the integral. (글sin(| ») - / ÷a x cos 7x dx = sin( |x) dx…

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