Integrate each of the following without using trigonometric substitutions. T/2 V1 - sin²(x) dx

Q: Find the DE of each of the following by eliminating the arbitrary constants. y = ln tan(x – A)+B

A: The given function is y=lntanx-A+B where, the arbitrary constants are A and B.

Q: Differentiate the following inverse trigonometric functions : 1) y =-2 sin-1x 2) s (t) = - cos-1 t

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Q: Find an approximate value of each of the following functions:

A: Find an approximate value of each of the following functions:…

Q: Find in each of the following. dx sin x 1. y = 1+cosx

A: We have to find the derivative

Q: Without using a calculator, find all the solutions of sin(t) = – 1 - where – T < t< T.

A: The given equation is Sin(t)= -1

Q: The x2- 4 dx can only be evaluated using trigonometric substitution technique . A True B) False

A: To find if the given integral can be solved only by algebraic substitution technique.

Q: find the exact values of t, if 0≤t≤2π and sint=(√3/2)

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Q: The x² – 4 dx can only be evaluated using trigonometric substitution technique . A) True B False

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Q: 3. -2x sin 3x dx

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

Q: sin-"(ry) = cos-'(x – y)

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Q: T/4 de 1-sine

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Q: Solve the following equation shown.

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Q: 3. и dx + (1 — Зи) х du — Зи du

A: Given :           u dx + (1 - 3u)x du = 3u du   To find the general solution of the above…

Q: d Find dx (sin? (In x)]

A: We can solve the given problem using chain rule of derivative. According to the Bartleby guidelines…

Q: 2. S sin° () dx

A: Integration

Q: Integrate the following using the substitution method. a) Te* cos e dx 2x+1 3x² +3x

A: We will use substitution method to evaluate these integrals.

Q: Test each of the following for exactness and solve the equation. (3x^2 − sin y)dx + x(x^2 − cos…

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Q: dx If x2 - 2x – 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: Solve the following equation correct to one decimal place: sin t - dt 1

A: Let us see first  I=∫0xsin ttdt This is a special case integral that is known as sine integral. ∫sin…

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

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Q: Solve the following problems with complete solutions in a clean sheet of paper/bond paper. See…

A: Given differential equation (y2cosx-sinx)dx+(2ysinx+2)dy=0 We will find the solution of given…

Q: I) y = c1e2x cos 3x + c2 e2x sin 3x

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Q: dy 2y =x'cos 3x dx

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

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Q: b) L{e" sin(3t)}

A: b) We need to evaluate the Laplace transform of the following expression e2tsin3t

Q: dx 6. S; ezx+1

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Q: Find |xV9x? +1 dx by using the trigonometric substitution of 3x = tan 0.

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Q: | (3x (За? — sin x + 2) dx

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Q: S= dx 3+ sinx+cos X

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Q: (x+ siny) dx + (x cosy - 2y) dy = 0

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Q: eax cos bx dx

A: Use integration by parts

Q: can be transformed to which of the following when trigonometric substitution is used? (x²+4)² sin ²0…

A: Please see the answer below.

Q: Integrate each of the following without using trigonometric substitutions. _cos(x) xp- J sin(x) + 3

A: Integration is a way of adding pieces to find the whole.

Q: D. Express each of the following as a product of circular functions. 1.- sin(-20) + 3sin20 2. cos 3x…

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Q: Solve the following equation correct to one decimal place: sin t dt = 1

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Q: Graph each of the following from x = 0 to x = 2pi  y = sin 5x cos 3x - cos 5x sin 3x

A: Given that: y=sin5xcos3x-cos5xsin3x,    0≤x≤2π

Q: the Following Solve Sin x (Co Sk) y = t anx %3D

A: Divide whole equation by sinx in order to make dy/dx alone

Q: 3.) S(1 – sin²xcos²x)²dx

A: As per our guidelines we need to solve only one question. Please repost the remaining questions as…

Q: Consider the implicit function. e' = sin (6x) Determine the formula for in terms of x. dy dx

A: Here we have to find the derivative.

Q: Evaluate the following (1) S sin3x sin2x dx

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

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

A:

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

A: Integration by Trigonometric substitution.

Q: Differentiate the following inverse trigonometric functions : 1) y -2 sin-1x 2) s (t) =-cos-1 t

A: We will ise tha fact that  Derivative of sin-1(x) is 1/√(1-x2) and that of cos-1(x)=-1/√(1-x2). And…

Q: Integrate each of the following without using trigonometric substitutions. dx

A: Given: ∫dx9-x2

Q: Integrate the following: 2х-1 a) 3x-2 d) /sin? (3x) cos' (3x)dx | cos* (5x)dx 4. g)

A: (a) Consider the given integral as ∫2x-13x-23dx. Evaluate the above integral as follows:…

Q: Solve the following using the method of undetermined coefficents: d2y/dx2 − 3dy/dx − 4y = 2 sin x.

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Q: Evaluate the following 2 sin (x) -dx 1+ cos (x)

A: I = ∫0π/2sin(x)1+cos(x)dxI = ?

Q: 5. (D³ – 3D² – 4)(e2x sin 2x)

A: 5) and 6) are unrelated problems.By Bartleby policy I have to solve only first one.

Q: dx The integral (244) ² + A = cos²0 de B - sec ³0 de Ⓒ+√x³0 de Ⓒ÷-sin²0 D sin ²0 de can be…

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