A = %3D (b) If cos (2a) – sin (2æ) = cos( %3D B =

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Q: Cos“ 2t osh wt sin wt e2t sint

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Q: 4x +1 = cos y?

A: According to guidelines we should have been able to solve only one question at a time

Q: Solve the fllowing D.E +4y= cos x - sinx 2. CoS X %3D

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Q: Fimk ® y = e* Cos 2x

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

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Q: a) y = sin x² cos 2x 4.

A: Given: y=sinx2cos2x, y=cos4sec23x We know that ddxuv=vdudx+udvdx…

Q: |3 cos 2.r dx 3.

A:

Q: (c) y= sv1– s-1 + cos¯'(s)

A: To find the derivative of the given function

Q: (a) /4 1+3 cos² 1 d.x; COST dx3B

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Q: dx = 1– cos(bx) Select one: a. br – In sec(bx) + tan(bx)| + C b. – csc(bæ) – cot(bæ) + C - - In |1 –…

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Q: cos(3t) sin(8t) dt

A: we use  2 cos A sin B = Sin(A+B)-sin(A-B) sin(-x)= sinx

Q: ∫cos(3t)sin(8t)dt

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Q: S(6Vx + 3 cos x - 8)dx

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Q: a) y = cos(e 2x) (e2x) -1

A: Differentiate wrt x

Q: Differentiate: y = cos(5 e* ) e11 COS

A: Ans is. option a)

Q: , Sercoszx *cos2x dx 3.

A: Since multiple questions are asked answering the first question, repost other question for solutions

Q: Question 6 evaluate Sa dx A -sin2x +C B -cos2r + C 2cosx + C 2sinx +C

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Q: S 1+cos(3x)dx

A: Given : ∫1+cos3xdx

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Q: b) S. cos x cos 7x dx

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Q: Calculate L{e-# cos(2t – r)}

A: We have to calculate : Le-2tcos(2t-π) First we will calculate , Lcos(2t-π)…

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Q: O cos 4x + (Dx + E) C) cos 4x + (Dx+ Am Cm 2:

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Q: S sin(ax)cos(ax)/3 – cos(2ax) dx

A: Sin(2ax) = 2*Sin(ax)*Cos(ax)

Q: 3-4K dx 4xス - oK t coS T

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Q: 1 dx 3 sin x+4 cos x+3

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Q: Find Se2= cos(x)dx.

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Q: (d) ƒ COS √1+sin x dx, (e) cos(lnx) S dx Т

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Q: 16 ) d du -1 cos и — 1<и<1 dx V1 – u² dx

A: As we know that the differentiation properties:- chain rule: ddx(f(g(x)))=f'(g(x))g'(x)…

Q: 10. cos (1/) dx

A: We have to evaluate the indefinte integral as shown below:

Q: 3a. cos πx sin πχ dx

A: We need to integrate the given expression. ( As per our policy, we can solve 1 question at a time.…

Q: b f sin'x. cos²x.dx ef cos(Inx).dx C-

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Q: S cos(e) In (sin(0))d0

A: We take the help of integration by parts in solving this problem

Q: Integrate x cos(2x^2+7) dx. Select the correct response: O sin (2x^2+ 7) + C

A: Integrate using substitution method.

Q: Find the exact value. 3 S sin cos 2 0 x dx

A: Follow the procedure given below.

Q: 5 cos(a) sin (x) dx

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Hf sin x = A + B cos 2x +C cos 4x, then A = %3D C =

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Q: (a) y" + 3y' – 2y = -e2" (5 cos 2r + 9 sin 2a)

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Q: Show that y = e²(cos x + sin x) is a solution to the equation

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Q: 4x Cos x dx b.

A: Given :

Q: 7/2 d sin dx dx COS

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Q: da (cos ( 3x) sin( 2æ)) dæ

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Q: 5. S sin(3x)dx (a) 3cos(3x)+ C (b) †cos(3x)+ C (c) – 3cos(3x)+ C

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Q: For Cos(2) dx find Ty, My and S,

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…