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

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Q: /4 A r tan (z*) dæ =? 0.

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

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

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Q: sin an Σ SI (In 4)" IM

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

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

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Q: dx (x²+4)² 5. f;

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Q: Using trigonometric substitutions, Sx³V4 +x²dx is equal to:

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

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Q: /cot x Q: Evaluate dx Vcotx+tanx

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Q: 1 dr r/1+ x6 (use trigonometric substitution) 3.

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Q: * What trigonometric substitution should be used to evaluate - 9 dx? x2 x = 3cose X= 3tane (c)…

A: Given:       Objective is to find the correct substitution for given integral.

Q: Using trigonometric substitutions, S dx is equal to: 4. V16 – x2 + C V16 -x2 + C -4ln -In O This…

A: Integration by substitution

Q: 6. Evaluate using trigonometric substitution: Væ² – 9 dx.

A:

Q: Sin2 z+Cos?z=D1

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Q: dx (2x-3)√5-12x+4x² 6. f

A:

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 substitutions, S Vx2-9 dx ,x > 3, is equal to: 3x Vx2 _3 – V3sec-) +C Vx2 – 9 –…

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Q: e sin CInx) dx Ne

A: To evaluate: ∫ee sin−1⁡(ln⁡x)xdx Let, I=∫ee sin−1⁡(ln⁡x)xdx Let, lnx =t ⇒1xdx=dt at x=e,…

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

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Q: 13. Evaluate using the substitution u = 1 – x² or trigonometric substitution. (b -ак х (a) dx x4 (c)…

A: Thank you for the question, As per our honor code we'll able to solve only first three sub parts of…

Q: π/4 x³ dx (x²+4)5/2 ST/4 (Use trigonometric substitution)

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Q: Sin ndn

A: To evaluate the given integral

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

A: Topic = Integration

Q: |sin(l nx)dx = ? %3D

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Q: * What trigonometric substitution should be used to evaluate x² - 9 dx? x2 A x= 3tane B x= 3sine…

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Q: 4+x² dx 2)

A: Dear StudentAs per our guidelines, we are supposed to answer only one question. Kindly repost the…

Q: dx Using trigonometric substitutions, f is equal to: x/4-(2x)²

A:

Q: Using trigonometric substitutions, S dx is equal to: XV16 - x2 V16 - x2 +C 4 V16- x2 - In In 4 This…

A: Let I=∫1x16-x2dx

Q: dx 2.). (1+x²)?

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Q: 2х + 1 -dx. NOTE: In (M²) = Pln M х? + 1

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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: Using trigonometric substitutions, xv16 4 dx is equal to: V16-x -In O This option Ths option 16 In…

A: Take substitution of x = 4sin(theta).

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

A: To find ∫x2-9x3dx

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: Which is an appropriate first step in verifying this trig equation? cotx (cotx + tan x) = csc²x %3D…

A: The given Trigonometric identity is,                cotx(cotx+tanx) = csc2x One of the basic…

Q: ost and that  (e^it − e^−it)/2i = sin t

A: In this question, the concept of the Euler Formula is applied. Euler Formula eiθ=cosθ+isinθ

Q: V9 - 4x? dx

A: See the details solution in below

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

A: Given integral √x^2-9 /x^3 dx

Q: Using Trigonometric Substitution J JA€)d® ,find f(e) (x2 + x + 1) 2 4 3 sec? e 4 3 sec e O 3 sec e 4…

A: Here we have to apply trigonometric substitution.

Q: Evaluate the following using trigonometric substitution: Vx2 - 4 dx

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Q: x² - dx ? Using trigonometric substitution, what is x3

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Q: | b, sin nx cos mx dx — п

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

A:

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.