Question 1 d dx Jx & S" cos(t) dt = O a) cos (x2) · 2x b) cos (x²) · 2 O c) sin (x²) d) sin (t² ) e) – cos(x) O f) None of the above

Q: Question 9 The general solution for the DE y + 4y=tan(2x) is given by cy=c;cos(2x) + czsin(2x) + =…

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Q: 3 4) Find / sin (2x) cos (2x)dx

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Q: 17. 18. 19. dx/ (9x² + 4) sin³ x cos x dx (secs x) dx / csc x

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Q: Question 11 puas √1+1² Ffxx)=f -dt, then f'(x) equals 0 I+e' In(secx)√1+tan²x Itela tanx sec³x 1+ele…

A: Topic:- application of integration  Note :- as per our guideline if more than one question uploaded…

Q: 1/12 cos 2x dx

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Q: (1) / 25 5 + 7x dx √x T/3 1+(cos0)² de (cos 0)² √3/³ 1 + (3) √x-4\dx

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Q: Example 1 Find dy/dx, if sin (²+3x+¹) b. y = cos²(2x-1)

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Q: 32 Question * (3 Points) The proper transformation for sin²x to make the f sin²x dx readily…

A: substitution

Q: EXAMPLE 1.13 Determine the particular solution of an ODE subject to given initial condition sinx dy…

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Q: 8. 2/3 cos¹/3 sin dt 0

A: The given integral is;  Cos4/3(t/2) Sin(t/2), limit from 0 to 2pi/3.

Q: Question 6 |5x sinx dx = 5x cosr +5 sinx +c OA. 5x cosx -5 sinx +c В. OB. -5x cosx +5 sinx +c Oc.…

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Q: 18) sin 3 dt t

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Q: Evaluate the integral

A: Let the given integral be y - y = ∫6sin2x1+cos4xdxy = 6∫sin(2x)1+cos2x2dx…

Q: Problem 6 (1-cos2x)+2cos²x S V2x + 1 x² dx

A: Solved below

Q: sin (21 + 1) dt J cos² (21 + 1)

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Question 004: Complete the following question involving Integratin by Parts Method. Given the…

A: the given integral is ∫4x*sin5x dx and the substitution information is: u=4xdu=4dxv=-15cos(5x) we…

Q: 3 .3 S sin 2xcos 2xdx

A: The objective is to solve the integration ∫sin32xcos32xdx Let, 2x=t⇒dx=12dt, then…

Q: 4 sin 6x cos 3x dx 1. %3D - 9.

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Q: Question 2 Evaluate x cos(3x) dx. .2 x° CoS Question 3 Evaluate e" cos (2x) dx. Question 4 Evaluate…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Question 4 Evaluate * 16" sin () (2n)! 3 n=0 given that cosh z 2n (2n)! n=0

A: Evaluate : ∑n=0∞16n sinnπ32n! It is given that, cosh z=∑n=0∞z2n2n!

Q: Question 4 Calculate the given integral: / tan (4x) dx 1 1 a) 능 -tan(4x) + 4x + C tan’(4x) + 12 1 b)…

A: We have to solve the integral

Q: 19. -π/2 21. -π/4 23. [³5e* dx sin 0 de cos x dx sec² 0 do (2x secx tan x) dx 20. rπ/3 22. 24. [¹-dx

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Q: cos 4x cos 2.xdx 3.

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Q: 450 400 AA 350 300 250 200 150 100 50 -4 -50 8 16 24 28 36 12 20 32 -100 -150 -200 -250 -300 Dy =…

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Q: Evaluate the integrals

A: The given integral is ∫-π2π215sin43xcos3xdx.

Q: a) |(4 cos x+2cos x– 1)dx

A: we know the following identities   ∫cos(x)=sinx

Q: 1 ao et/2 dt = 0.50 2 An e-1/2 cos 2nt dt = 0.504 1+ 16n? 8n b, = et/2 sin 2nt dt = 0.504

A: a0 = (1/π) ∫0π e-t/2 dt , put -t/2 = x , dt = - 2dx Using formula ∫ et dt = et + c a0 = (1/π) ∫ ex…

Q: Question 7 Calculate the integral: /x' cos (2.x²) dx 1 o- sin(2x³) + r cos(2r*) + C b) O sin(2r*)…

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Q: 1 6 -8 sin(t) + 4 cos(t) + 4 sec²(t) – 2e' + dt = 1+t?

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Q: 1.4 The integral 2 sin (15ax) sin (10a.x) dx equals: (a) (cos (5ax) – cos (25ax)) da (b) (sin (5ax)…

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Q: sin dx 32 cosS 35 4 Ssin +2 +c cos () • 32 cos + C 32 -cos 32 cos + C 7 4 32 cos 35 즐)-Scos()+기+C

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Q: Cos 9 2 Sin e cos8 © cos (e) cos o (d) cos'x + 2 Sinx + 2 = o

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Q: Part 4 of 5 Now we have the following. • T/2 xy ds = (3 cos t)(3 sin t)*(3 dt) - 7/2 • 7/2 8 4 sin t…

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Q: 7/2 #1. cos'x dx | tan*e sec*o de #2. S tan'r sec'r de #3.

A: As per guidelines we are supposed to do only first three questions of a multiple question. To get…

Q: Problem [6 - 8] Use Integration by Parts to verify the specified formulas: 6. fx cos-(2x)dx = x…

A: Solution is given below:

Q: In(1+cos 3x) +C dx 3. 1+cos 3.x

A: Differentiate of the RHS the we get RHS

Q: (cos 12t – cos 3t) dt 2 sin7t sin4t dt= A True (B) False

A: This question is based on indefinite integral and Trigonometric equation.

Q: 21) (1 + cos 9t) 2 sin 9t dt

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Q: Graph the functions in Exercises 13–20. What is the period of each function?

A: Dear student, Since you have posted multiple questions, as per our policy we will answer first…

Q: 2. 3. ત્ર 6 -1 cos²2x dx X - dx

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Q: 1 3 X° cos 4- x2 dx + 2 2

A: We will find the value of definite integral as following.

Q: Example 1 Find dy/dx, if a. y=sin(x² + 3x + 1) b. y = cos² (2x-1)

A: I have stated the used formulas in the solution

Q: 10. 4 COS dx 2

A: the given integral is: ∫cos4x2dx we have to evaluate the given integral.

Q: Question 170 Calculate f 3 in x.cos x dx. (a) 3sin x cos x , In 3 (b) 3cosx . In 3 (c) 3sin x. In 3…

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Q: Question 11 Зсos3x-1 To evaluate f scos - dx, the integrand can be transformed to 1-sin?x A.)…

A: We put 1-sin2x=cos2x and then solve it. Follow 2nd step.

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: Given, I=∫25325dxx25x2-1

Q: Problema 3. Si R= [0, 7] x [0, 7], hallar: | cos(2r)- cos(y)ldædy

A: The given data is: ∫∫Rcos2x-cosydxdy

Q: ∫√(1+2sin3x) (cos3x)dx

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Q: 2. 6 cos 2x dx

A: To evaluate the given integral.