Find y' where y = 8 cos-1 (sin (19 z)) – cot-1 (14 z) Answer: 14 y' = -152 1+196 z2 -152 cos(19 z) + /1-sin²(19 z) 1+196 z2 152 14 /1-sin²(19 z) 1+196 z2 y' = -152- 1+196 z2 152 cos(19 z) 14 O y' = 1–sin²(19 z) 1+196 z2

Q: Integration techniques: Use whatever method you like to solveeach of the given definite and…

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Q: 4. y = 5 cos 4x, 3rd derivative 5. y = 3 tan 3x, 2nd derivative %3D 5. y = 6 csc x, 2nd derivative

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Q: 4sin 5x cos 3x-4cos 5x sin 3x/rom x= 0 to x= 2m

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Q: Sx' cos(x4) dx = o 1 cos(x*) + c 4 - -1 - cos(x*)+ c 4 1 sin(x*) + c 4 -1 sin(x*) + c 4

A: *concept :- let, x^4 = t then integrate the simplified term cos(t).

Q: | cos(5x) sin(13x)dx = 1 sin(&x) ) sin(18x 4 6. OB. - 5 sin(5x) sin(13x) + 13 cos(5x) 1 cos(1&x)…

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Q: f(x)=X +Sin -1 く(-2)- 4-て+Sini-て)-\no9651 3(x)=てメ+ cosx ずし-て) ニ -4ACOS(-て)-3 (x)-2-らinx f(-2):…

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Q: find the volume of the solid

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A: To Determine: find the derivative  Given: we have y=secx+tanxsecx-tanx Explanation: we have…

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A: To evaluate: ∫sin x2 ln24+tan-1cosx2dx1+cos2x24+tan-1cosx2

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A: To evaluate the given integral.

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A: Integration by parts

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A: Use formula 2sinAcosB=sin(A+B)+sin(A-B)

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A: We will answer the first three questions as per our guideline. Please resubmit the other question…

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Q: 2 sin 2x dx Tcost x + 4 cos² x – 2

A: We will answer the first question since exact one was not specified. Please resubmit the question…

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A: Topic = Integration

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A: To rewrite the given integral so that the integral can be evaluated easily. ∫sin…

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A: To evaluate the given intgral.

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Q: f(x)=X +Sin -1 く(-2)- 4-て+Sini-て)-\no9651 3(x)=てメ+ cosx ずし-て) ニ -4ACOS(-て)-3 (x)-2-らinx f(-2):…

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

A: To evaluate: ∫0π2sin2θ cosθ dθ Solution: Let substitute t=sinθ dtdθ=cosθdt=cosθ dθ Limit will also…

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A: By using Simpson/Trapoizodal rule.

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Q: (3 tanx-2 cos y)sec" xdx + tanxsin yay = 0

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Q: x*sin (2x) dx a. ** cos(2x) – x³ sin(2x) –r² co. 3 x² cos(2x) +x sin(2x) +- cos(2x) + C 4 1 cos(2x)…

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Q: 2. f(-7sinx + 3cosx)dx (-7sin 3. √(3x − 2 + sin x) dx TE 4. (3 sec² x + 4 csc² x) dx

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Q: 12. Find the first derivative of y = 2cos(2 + x*). A. -4x sin (2 + x2) B. 4x cos (2 + x*) C. x sin…

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Q: 3. x = 2 cos(3t) – 4 sin(3t) and y = 3 tan(6t) at t = 2

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Q: 3 In(1+ V sin²x .limr→0 V1– cos x

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Q: 4 cos °x sin x dx 3x sin: 1/3

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Q: 1. / cos" (2t) sin² (2t) dt

A: 1.

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Q: 4x – 1 for the 2 tan(4x-1)-3 cos² (4x-1) dr. what will be the resulting integrand? If we let u =…

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