|x – a°|dx; dr; 1+ cos2 θ csc? Od0; cos? 0 -2

Q: (b) sinr + cos² y 4 P(품,등) 3

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Q: 3 (b) / 2³ x³ cos(x¹ + 2) dx

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Q: X = cos 2t, y = cos t, 0 <t< n

A: given x=cos2t and y=cost interval 0&lt;t&lt;π  dx/dt =d/dt(cos2t) dx/dt=-2sin2t And dy/dt=d/dt(cost)…

Q: 2 X(+) = SIN'セ y (t) = Cos?t 9) IF dy FIND %3D

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Q: ∫cos^3 xdx

A: Given: ∫cos3xdx

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A: on computing the derivative of the given curves with respect to t than we will find the dy/dt so

Q: y = cos(x)3æ

A: since you have asked multiple questions in single request so we will be answering only first…

Q: -/- I = х cos bx dx, for b > 0

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: d. cos 3x = 0 %3D e. tan 4x - 1 = 0

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Q: r2 cos 0 d0 /1 – sin 0

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Q: 3 dx = cos? 3x tan 3x 3 3 tan 3x +c tan 3.x +c попе

A: We have to evaluate the integral ∫3cos23xdx.

Q: T/2 sin? x cos x dx 50.

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Q: d²y c. Find dx? if y= sin’0 , x= cos’e

A: We have y=sin3θ    and x=cos2θ We need to find d2ydx2 Now,  dydθ=3 sin2θ ddθsinθ=3 sin2θ cosθ dxdθ=2…

Q: d. 3) [cos πx]4 %3D dx

A: 3) To find the derivative

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Q: 2 cos x dx, 1+ sin x (c) t = sin r. 0.

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Q: e Cos 3I dɔX

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Q: dx - = ? b+c.cos ax b? <c?

A: We need to find integral of  where, Formula Used:

Q: d. y=cos° (x² +3) s" (x² +

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Q: R|N PJ 2 COS X 1 + sin x dx

A: We have to find value of given definite integral.

Q: (b) I cos cos(√x + 3) dx

A: b Given integral is ∫cosx+3dx. We have to solve the given integral. Use formula…

Q: 37. y = sin x + /3 cos x, -2<x< 2m

A: Answer: The curve is shown below:

Q: ,3 sin x cos x dx. + C

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Q: r=2 Sin cQ-Ę) Cos co-Ę)

A: The given equation is r=2sinθ-π4cosθ-π4 Apply the formula sin2θ=2sinθcosθ to get:…

Q: (sin x +cos *)dx= O a. 1 O b. 2 O c. -2 O d. 0

A: To evaluate ∫0π2sin x + cos x dx

Q: T/4 sin? - cos? x dx COs x T/4

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Q: d (c) (cos(2²) + In(3 – 2æ)) dx

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Q: 2) y = e°(sin e + cos e)

A: I understand that we need to find the derivative of this function as nothing is mentioned

Q: Find , if y= cos"(2x) + 2e*c* dx sec x

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Q: (d) 2 sinu =|- Sin u (e)2 cos?t + 3 cost t1 =0 %3D (Đ cos 2x + 3 cos e + 2=0

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Q: dx (b) | sin x· cos? x

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Q: Find d?y if y = t sin? 2t and x = cos? t dx2

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Q: 2sinx (x)cos (x)dx = (a) (b)를 (9); (d) (e) Nor a

A: Since you have asked multiple questions in single request.so we will be answering only first…

Q: 3 dx = cos? 3x попе 3 tan 3x +c tan 3x +c tan 3.x +c 3

A: We will solve the following.

Q: '(s) (c) y= sv1– s+ cos

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

Q: Find (d^(2)y)/dx^2 if y=sin(x)cos(x)

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Q: cos (1/x) dx ∞ o COS 21. 12

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Q: c(t) = (sin 2t, sin t), 0<t < n.

A: Solution Given c(t)=(sin2t,sint),0&lt;t&lt;πUsing Green's Theorem , calculate the area of the region…

Q: T/2 ( 4 cos (x) sin° (x) dx

A: To evaluate the integral ∫0π24 cos2(x)sin3(x) dx We know that, cos2(x)=1+cos2x2sin3(x)=3sinx-sin3x4…

Q: Svæsin(x3/2)dx= A © cos(x/2) + C 을cosx/?) + C D

A:

Q: cos' 0 d0

A: To solve:

Q: 2 y = cos( x 4

A: answer is in next step

Q: I = x cos bx dx, for b > 0

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

Q: y = e* cos x²

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Q: y 2+ TT 3 2 -2+ -37

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Q: Find W (ex, cos x COs x sin x). B.) -2 (e) sin x cos X

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Q: T/2 (cos(7x) + T) dx? 0.

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Q: dx b) sin x· cos? x

A: let's find integral

Q: sin x dx 1+ cos2 x 31. T/2

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: y" +y' = cos 3x

A: