* Which of the following integrals will yield an inverse trigonometric function? dx A 9– 16x2 wdw V25+ w2 none of these e2x dx D 4+ e2x ydy /25+y?

Q: Evaluate the integral. 4 dx +C (1 – x2)ž NOTE: Enter the exact answer, without any trigonometric…

A: This question can be solved by the concept of integration by substitution(without any trigonometric…

Q: 2, .cos' xdx 12. 2

A: Given: Let I=∫-π2π2 cos3x dx To Find: To evaluate the given trigonometric integral.

Q: Evaluate the integral: 1 A 6 B С 3 D HIM P 16 sin(3x)cos(3x) dx

A: Solve by integration

Q: Suggest a trigonometric substitution for each integral, and then write the new integral that results…

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Q: Q2: find the integral of trigonometric function cos sint dx

A: To evaluate the integral: I=∫0πcos5x sin4x dx⇒I=∫0πcos4x sin4x  cos x dx⇒I=∫0πcos2x2 sin4x  cos x…

Q: x dx x² + √√x². The integral - sine de SSH 1 + cose sece tane de sece - 1 sec²0 do 1+tano cose do…

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Q: * Which of the following integrals will yield an inverse trigonometric function? ydy A /25+y? e2x dx…

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Q: The integral S³ S S Sse x dx x²+√√x²-1-1 sece tane de sece - 1 cose d 1 - sino sine de 1 + cose…

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Q: 1 /- To evaluate the integral dx, using a trigonometric substitution, which substitution should you…

A: Evaluating integral by trignometric substitution

Q: For each of the following integrals find an appropriate trigonometric substitution of the form æ =…

A: The substitution method is used to simplify the integral for the complicated integrations. The…

Q: The integral S₁ substitution is used? dx (x²+4)² can be transformed to which of the following when…

A: Let's integrate by using trigonometric substitution.

Q: Which of the following integrals is leading to inverse trigonometric function? { A} S {B} S; {C} f;…

A: We have to find which of the following integrals leading to inverse trigonometric

Q: Evalute the following integrals. (1) /; COs x -dx. 1+ sin? x 2

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

Q: The integral A / B © S D x² + x dx can be transformed to which of the following using trigonometric…

A: Explained below

Q: * Which of the following integrals will yield an inverse trigonometric function? ydy A 25+y2 B) none…

A: In option (A), If we substitute 25+y2=t2⇒ydy=tdt, then the numerator will be replaced by tdt and…

Q: 2. Evaluate the integral. COS X dx sin? x

A: Given- ∫cosxsin2xdx To Find- The value of the integral.

Q: Q1/: Evaluate the Trigonometric integral m/4 V(1+ tan?x)3 dx -a/4

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Q: ·S- The integral x dx x²+√√√x²-1-1 can be transformed to which of the following using trigonometric…

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Q: For each of the following integrals find an appropriate trigonometric substitution of the form x =…

A: Solution:-

Q: Consider solving dx using a suitable trigonometric substitution. After performing substitution with…

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Q: 1. Which of the following integrals will yield an inverse sin function? B. S- D. S- dx dx A.S dx dx…

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: a. b. Evaluate the following integrals 2 dx cos²x√4 tan x- tan² x I [ sin(√a)da dx

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Q: 1. Which of the following integrals are definite? Circle all that apply. 2t dt 13-sint 1. [e²*…

A: Definite integral means where the limit of the integral is given. In #a and #b they do not have…

Q: sin x S + 3x)dx 1. cos x dx 8 sin?x cos²x 4. 了 1 2. 了 dx 1-cos x 5. J sec x(sec x – tan x) dx 2 secx…

A: These all are solved by the help of standard trigonometric Antiderivative.

Q: The integral ·S= dx (x²+4)² can be transformed to which of the following when trigonometric…

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Q: The integral B D x dx can be transformed to which of the following using trigonometric substitution?…

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Q: 1. What trigonometric substitution should be made for each of the following integrals? S2x?-4 dx b.…

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Q: Q2 / A - Evaluate the following integrals by using parts method: 1) S2te-0.1 dt 2) Se2* cos x dx 3)…

A: As per the guidelines, we are suppose to answer  only first 3 subparts. Kindly repost the rest of…

Q: Integrate the following functions: 1. S sin 2x dx

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Q: | cos 3xcos 4.xdx 14.

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Q: 1. Evaluate each of the following using a strategy for trigonometric integrals. sin (3x) (a) dx cos…

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

Q: By using a trigonometric substitution x = 3sece ,where 0 s0 < 27 "he integral 3 Vx² - 9 dx can be…

A: We have to choose the correct answer from the given option according to the given condition

Q: The integral x dx x² + √x² can be transformed to which of the following using trigonometric…

A: ∫xx2+x2-1-1dx=∫secθ.secθtanθsec2θ+sec2-1-1dθ=∫sec2θtanθsec2θ-1+sec2-1dθ=∫sec2θtanθtan2θ+tanθdθ=∫sec2…

Q: Q4: Evaluate each of the following integrals: (a) | (4+ cos x)· sin x dx (Substitution)

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Q: S The integral S x dx x²+√√x²-1-1 sece tane de sece - 1 sec²0 do 1+tano cose dᎾ 1 - sino sine de 1 +…

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Q: dx 6. S; ezx+1

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Q: To evaluate the integral x2 dx, Vx2 - 4x + 20 using trigonometric substitution, wh substitution…

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Q: Find dy/dx for the following : 1) y = x3 + sin x² + sin-1 5x

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: The integral O x dx can be transformed to which of the following using trigonometric substitution?…

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Q: Evaluate the given integral or show that it diverges. =/2 cos xdx (1 – sin x)?/3

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Q: Evaluate the integral sin3 x + cos? x + 1 dx sin? x (cos² x +1)

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Q: dy cosh x dx + (sinh x)y = e-x

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (b) Evaluate the given trigonometric integral sin r dx (x² + 1)(x² + 9)

A: The given integral is ∫-∞∞sinx(x2+1)(x2+9)dx. It is of the form ∫-∞∞f(x)g(x)sin(nx)dx. To solve this…

Q: sin t ( 10 + COs t)3 7 - sin 4x dx |

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Q: Find dy/dx for the following 1) y = x3 + sin x? + sin-1 5x

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Which of the following integrals will yield an inverse trigonometric function? e2x dx 4+e2x wdw (B…

A: Let I=∫19-16x2dxI=∫11-16x29dxI=∫112-43x2dxWe know tha…

Q: x dx x² + √√x²-1-1 The integral - (A) cose de can be transformed to which of the following using…

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Q: 4) Find each integral by using inverse trigonometric functions. a)f V9 - 4x dx +4

A: Given, a) I=∫x3x4+5 dx b) I=∫1x(lnx)5dx To find : Value of given integrals by substitution method…

Q: x/7x? 7а? — 56х + 104 dx dx —26 — 7а2 — 28х

A: The Given integral is  i) ∫x7x2-56x+104dxii) ∫x-26-7x2-28xdx