Evaluate: D°(sin x- e20) A -sin x - 32e* B sin x - 32e2 © -32- e D cos x - 32e2

Q: 5- S(cos3x – 2) sin3x dx

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Q: a) cosx = - ja 0 <x< 360° b) sin (2x +) = 0, ja - << c) 2cos?x + sin +x) – 1 = 0, ja 0 <x<2=

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Q: Suppose = cos 4- Evaluate: |dx A - 3sin sin x-4+ C © -)+c -x- 3 3sin

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Q: sin(cos¬1/2x²) = v3x? sO:

A: Given:   SinCos-1 2x2=3x2   To find out: x=?

Q: 2 cos @ dӨ . 1- sin 0

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Q: 10* -dx may be written as Aln secB*+ tanB*|+C, where A, B, and C are constants cos10* not equal to…

A: We will do this question by integrating the given integral and comparing it with the given…

Q: 3- Represent in the form of x+ iy a) V8 (cos + i sin m) b) 6 (cos 7 + i sin7)

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Q: Evaluating √9-x² dx using trigonometric substitution will lead to: -3 [*1/2 cos²0de A 0 Ⓡ IS!" B 18…

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Q: The answer of the integral sin2x cos3x dx is:

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Q: V3 sin(2r) = - Cos(2r)

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Q: Write an algebraic formula for sin[(sin^-1(u)-cos^-1 (v)]

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Q: Evaluate sin (3x) cos (6x) dx Select one: cos(9r) A cos(3r) tC 18

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Q: tan( tan3x)dx Evaluate: cos²3x A 3 -In sec(tan3x)| + C B -n|cos( tan3x)| + C In|cos (tan3x)| +C (D D…

A: the given integral,      ∫tan(tan 3x)dxcos23x

Q: dx Evaluate 6ex cos (3e X) O 2 [In |sec(3e-x) + tan(3e-)|] +C [In |sec(3e-) – tan(3e-|] + C 1 In…

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Q: y = 2 sin 3x 1+3 cos2x

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Q: exp in)) (exp(- - ίπ) dxa 0.3679 cos TT - i sin Tt -0.3679 - exp(cos Tt - i sin Tt)

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Q: 5. Use substitution to find S sin1º0 cos 0 d0.

A: We will find the integration.

Q: Use the graph of y = 2 sin 2x in the figure to obtain the graph of y = 2 csc 2x.

A: The function of the given graph is y=2sin2x. Since, y=sinθ and y=cscθ are reciprocal to each other.…

Q: 2T Rewrite cos x + 3 in terms of sin(x) and cos(x)

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Q: Find the e and simplify whenever possible. dx 1. ут 1-cos 4x sin 4x

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: a) ㅠ 3 cos x sinx dx

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Q: Evaluate 2 sin² x cos³ x dx 0,

A: Given that: ∫0π2sin2x.cos3xdx

Q: Complete the statements.

A: Given Our aim is to complete the sentence

Q: 3. Find y' for y = cos(sin² x)

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

Q: Eliminate arbitrary constant. y=C1 sin 3x + C2 cos 3x + 9x2-2

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Q: 5. f sin$22x cos22x dx

A: The given integral is  ∫ sin522x·cos222x dx

Q: sin(플 + 2x) %3D cos(플 - y) 2- Which of the following is the relationship between x and y according…

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Q: Evaluating √9-x² dx using trigonometric substitution will lead to: -3 A 355/20 cos²0de 0 **/2 B Ⓒ 18…

A: Evaluate using trigonometric substitution ∫-339-x2dx=?

Q: Cos 2x %3D 1-sin 2x

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Q: evaluate y' for y = cos12x - sin^2 6x

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Q: (b) cos x = 0.549

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Q: sin 4x Cos 2x d x 9- 4x?

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Q: Q1/A/ Sketch 7 + 4 sin 0 + 3 cose

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Q: sin (x) = 0.8. If x and y are complementary, what is cos (y)?

A: In the question it is asked to calculate the value of cos(y) for sin(x)=0.8. It is given that x and…

Q: TC In the equation y = sin-1 x, if =;, then y 1 %3D - х,

A: Given: y=sin-1x if x = 12, then  y=sin-112

Q: What strategy would you use to evaluate ∫sin3 x cos3 x dx?

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Q: Find the exact value. 11n sin 12 V6 - V2 A) B) V3- 2 4 -V6 - V2 C) V2 - V6 D) 4 4-

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Q: Evaluate: cos³x dx sinx I =

A: We know that : sin2x + cos2x =1. we know that integration of xn = xn+1/ n+1 We use all of  this to…

Q: 2. (cos"B- sin4 ß )?dB

A: ∫cos4β-sin4β2dβ∫(cos2β)2-(sin2β)22dβ∫(cos2β-sin2β)(cos2β+sin2β)2dβ∫(cos2β-sin2β)(1)2dβ∫cos2β2dβ…

Q: Evaluating 9-x² dx using trigonometric substitution will lead to: A of th (A) cos²0d0 [*/ cos²0de Ⓒ…

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Q: Evaluate and simplify y′. y = 2x2 cos-1 x + sin-1 x

A: Given:y=2x2 cos-1x+sin-1x

Q: Evaluating √9-x² dx using trigonometric substitution will lead to: **/2 Ⓒ 18/¹/2 (A) sin²0d0 0 **/2…

A: See the details solution in below

Q: tan( tan3x) dx Evaluate: cos²3x A - In|sec ( tan3x)|+C 3 B -In|cos( tan3x)|+C В 3 © In|cos(…

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Q: sketch r=2 Sin cQ-E) Cos co-Ę)

A: v=2 sinθ-π4 cosθ-π4

Q: 2. (sin20 - 2p cos O) dO = 2dp

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Q: 4-y+ tan x y = cos2x %3D

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Q: Evaluate D(sinx - 4e2) (A -cos x-32 ex B cos x-32 ex -sin x-32ex sin x-32 ex

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Q: Use the Substitution Rule to prove that∫sin2ax dx =(x/2) -(sin(2ax)/4a )+ C

A: Given:∫ sin2 ax dx

Q: .csc(2x + :-2, where x € ( =) 4 - sin? () + cos²x = 1,where x € [0, 21) %3|

A: This question is related to trigonometric functions. Solve in step2.