dx v16+x? 2) Use a trigonometric substitution to help integrate: Clearly show what your values of x and dx are in this substitution; sketch the relevant right triangle and use it to help write the final answer in "x" form.

Q: dx Use trigonometric substitution. V16+x²

A: The solution are next step

Q: Evaluate dx 1²√√²-49) SV x>7, using a trigonometric substitution.

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Q: dx by using the trigonometric substitution of x 3D V12x? Find sino.

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Q: Using trigonometric substitutions, S Vx2-9 dx , x > 3, is equal to: 3x

A: Given:            ∫x2-93xdxwe know that trignomentric equationsec2θ-tan2θ=1Here substitute x=3secθ…

Q: The appropriate trigonometric substitution for dx is 3r-r2

A: To find:∫13x-x2dx

Q: 3. Г dx (Hint: use a trigonometric substitution) 2 xVx2-1

A: In the part 3 we have the the value as ∫22dxxx2-1 . In order to make the substitution  we will…

Q: Use the figure to write the expression in algebraic form given y = arccos(x), where 0 < y < T/2.…

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Q: Convert r = 6(sin(0) + cos(0)) to an equation in rectangular coordinates in terms of x and y.

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Q: dx (x²+4)² 5. f;

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Q: sin? Cos dx 2

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Q: Use Figure to find the values of the trigonometric functions at t = π/2.

A: On the unit circle, x-coordinate of any point represents cosine of the corresponding angle and…

Q: dx Using Trigonometric substitution, prove that J A-rž arc sin x + C

A: The given integration is ∫dx1-x2     . We have to solve the integration using Trigonometric…

Q: Eyaluate Using trigonometric substitution, fydy /2

A: Let I=∫y3dy(4-y2)32 Assume y=2 sint, ⇒dy=2 cost dt

Q: Convert r = 5 sin(0) to an equation in rectangular coordinates.

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Q: 22 (in Quadrant-I), find 17 If csc(x) sin(2x) %3D

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Q: dx (2x-3)√5-12x+4x² 6. f

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Q: What trigonometric identity is useful in evaluating fsin?x dx?

A: Integrals when specified with limits determines the area under the curve. The given integral is…

Q: Using trigonometric substitutions, - dx , x > V3, is equal to:

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Q: Using trigonometric substitution, what is Vx2-9 dx x3

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Q: Using trigonometric substitution to evaluate, 2 5² dy y√√y²-25

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Q: Using appropriate trigonometric substitution, dx J xV1 - xV1 – x2 | is transformed to

A: Topic = Integration

Q: dx Using trigonometric substitution S = sin(0) + C, express the answer in terms of x. 3 (x²+x+1)7

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Q: What are the zeroes of the equation r = sin ( θ ) + 8 ?

A: given    r = sin(θ ) + 8

Q: a sin(ry) dA, where R [0, 2] x (0, ] R

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Q: Find the tangent of ZC. 57 4. 41 Write your answer in simplified, rationalized form. Do not round.…

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Q: Find the acute angle in radians between the planes -2x + z = 1 and 1y + z = 1. You may ieave your…

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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: Use symmetry to fill in the blanks:

A: Given:                         ∫-ππ(sin x+ cosx) dx=   Solution:                           ∫-ππ(sin…

Q: x2. x² – 9 dx ? Using trigonometric substitution, what is

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Q: Using appropriate trigonometric substitution, dx XV9 — х2 is transformed to

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Q: 3) Change r2 = 2 sin 20 to rectangular coordinates.

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Q: Using trigonometric substitution, find J Tr246rt10 dx in terms of x.

A: Hello. Since your question has multiple parts, we will solve first question  for you. If you want…

Q: cot a In(sin r) dr "/2

A: We know that integration of xn is xn+1/n+1. We know that : cosx/sinx= cotx.   Here i attached…

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

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Q: QSolve using trigonometric substitution: dx 2.

A: NOTE: As per our guidelines, I have solved the first problem in the picture. If you want the answers…

Q: Using trigonometric substitution, what is S Vx-9 dx ?

A: Given that                                                   I=∫x2-9x3dx let…

Q: dx Use trigonometric substitution to find

A: Explanation and solutions is given below....

Q: Use the hyperbolic identity to solve sech? 2x + tanh? 2x = 1.

A: You need to use the hyberbolic identities and put that into the given equation.

Q: 2. Using trigonometric substitution, what is S x² -9 dx ? x3

A: Given integral √x^2-9 /x^3 dx

Q: The appropriate trigonometric substitution for dx is V3x-x2 ww 3 X = 9 3 + sec 0 2 4 3 +sine x = O…

A: We have to solve

Q: Using trigonometric substitutions, S xv16 - 16 dx is equal to: - x2

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

Q: 1. A = sin(tan[1 + i])

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Q: Evaluate the trigonometric integral 243 sec* 0 tan? Od0.

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Q: sin(2 – 3i) cos(3 – 2i)

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Q: find an eguation in X, y r Cos e 25 r Sin@= - 2

A: The objective is to find an equation in x, y.

Q: Use a right triangle to simplify the given expression as shown. Assume x 7 0.

A: Given that sinϕsec-1ϕx2+164. That is, secϕ=x2+164ϕ=sec-1x2+164

Q: 12.) sin(1/a )de 13.) - xp- 14.) (x+x!)*dx

A: Each of the subpart is solved below in details.

Q: Using trigonometric substitutions, dx, x > 3, is equal to:

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Q: Express the length x in terms of the trigonometric ratios of 0. X = 20

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Q: (b) /(cos æ)* sin a da

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.