What is S² S 2 9. b. C. k|x EN d. = www 2 sin 0 1 r cos² 0 drd0?

Q: Determine the exact solutions to cos: O ○ 0=160=² ○ 0-5,0- 7x 0= 6 6 O O 0 7x 6 5x 6 R 0= =,0= 6 11x…

A: We can answer the question in the following steps.

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A: Given, The integral is,

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A: The objective of the question is to find the value of x that satisfies the equation sin(x^3) =…

Q: GUEN {) en: Sinx ,0s 2. COS X is equal o A O B) -4/24 c) s/24 D) 4/6

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Q: cscax sin(xth Sind dx

A: Here given as As we know

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A: we are given the values of two trigonometric functions, we need to find out the value of the angle…

Q: 38. Differentiate y = 2 cos² - a. – sint b. - sin 2t C. - sin - d. sin-

A: Differentiate y=2cos2t2

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Q: */10 S sin(10z) arctan(sin 5x)dr = ? a)10(7 – 2) - 2 b)- 5 ) 5 (т — 2) T - 2 d)- 10 Ол - 10

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Q: Evaluate S cos ve Vē sin? ve

A: consider I=∫cosθθ sin2θdθto solve the itegral we can use method ofsubstitution

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Q: -2n 1 9. Evaluate : de 6+ sine

A: Given, ∫02π16+sinθdθ=2∫0π16+sinθdθ Let us take…

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A: first use the formula of cube of sinx.

Q: Q.43) 2n S Icosx – sinx|dx =

A: Here we have to find solution of given integral

Q: 2c. Show that * (5 - ) 4 sin z - cos 2r + 3 -8 cos for every r.

A: To prove: 4sinx-cos2x+3 = 8cos4π4-x2 We know that cosx-y  = cosxcosy+sinxsiny and cos2x= 1-2sin2x

Q: Q4: Prove that: cos?x – sin?x cos²x - 1- tan?x

A: We need to prove that cos2x-sin2xcos2x=1-tan2x We will use tanx =sin xcos x

Q: 14) sin- 1 2 /-

A: 14. let x=sin-1(12)     x=π6                    (∵ sin(π6) = 12)

Q: d²p If p = a? cos? 0+ b² sin2 0, then show that p+ a²b? %3D COS p3

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Q: Find the values of the following Integrals: ii) S sinx tan'ccord dx ü) Sex uci+ e* ) dze in) St…

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Q: Please help me answer the question. Thanks!

A: Given,

Q: What is the trigonometric substitution that you would use to evaluate the integral S V5x2 + 10x +…

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Q: (4r + 5)2 2 dr + tan r-y = Cos z

A: Given differential equation is 2dydx+tan x·y=(4x+5)2cos xy3

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A: The given problem is to show the result of given integral with using the given integral result.

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Q: In e ex 2. dx e2x + 1 In 1

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

Q: 4 B C D 1 3 t ST 3 7 T 4

A: