Using trigonometric substitutions, S dx is equal to: 4. V16 – x2 + C V16 -x2 + C -4ln -In O This option O This option V16-x2 + C 16 V16 - x2 + C

Q: With the aid of residues, and a carefully chosen contour, show that d.x x5 +1 5 sin(T/5)

A: We we solve the general form of the integral for n instead of 5 Then we will substitute n=5 in order…

Q: Evaluate using Trigonometric Substitution: dx (16+22)? z(z+24) 12+16 + 6 tan-14 + C O None of the…

A: We have to find Given Integral.

Q: a?z B. For each of the following functions z, find a2z and ду? a²z дх? дудх' дхду" 1. z = 2x2 – 5xy…

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Q: Using trigonometric substitution, the integral / 2-x² dx x4 is equivalent to x/3 A 8 sin?0 cos?0 de…

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Q: B. Using trigonometric substitution x3 dx 1. J Tx?-9

A: We have to find  As per guidelines we have to solve one question

Q: dx (x²+4)² 5. f;

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Q: In solving for the antiderivative of f(x) = (9 – x2)3/2 using trigonometric substitution, is…

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Q: Find a real number c and a positive number L for which :-     see the equation as attached here

A: Properties of the finite integration help to find the values of L and c. There are finite…

Q: Using trigonometric substitutions, S dx is equal to: xV16 - x2 V16 - x2 + C V16 - x2 + C This option…

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

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

Q: Evaluate using Trigonometric Substitution: dx c² –6x+5 None of the choices. Please refer to my…

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Q: Using a trigonometric substitution, the integral ," 14 x Vx-49 dx becomes: 49 Select one: a. -49 tan…

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Q: on * g trigonometric substitutions, f dx is equal to: XV16-x 4ln V16 -x2 + C 16 N16-x + C

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Q: Using a trigonometric substitution, the integral dz becomes: 2+25 (a) 25 (tan 0) (sec 0) de (b) 5 /…

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

A: Evaluate: ∫x2-9x3dx

Q: For each of the following, determine the appropriate trigonometric substitution according to the…

A: Known facts: 1-cos2θ=sin2θ tan2θ+1=sec2θ sec2θ-1= tan2θ.

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: JxV1+ x² dx 8.

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Q: The trigonometric substitution x= tan(t) 7 gives J 49 x2+1 dx= sec(t) Select one: O True O False

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Q: 2. Vy+1-2 dy

A: ∫vn dv = vn+1n+1+C

Q: dx (x+3)²-25 7. S

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Q: Using a trigonometric substitution, the integral dz becomes: (z2 - 4)3/2 Select one: a. None of…

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Q: dx Using Trigonometric Substitution 3 sin e+C. 3 express the answer in terms of x. (x² + x + + x+1)…

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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: Evaluate the following using the TRIGONOMETRIC SUBSTITUTION METHOD: 1. S- 2. * xp XVx-9 1+x 4. 5. de…

A: We are entitled to answer only one problem. Please resubmit the question which you wish to get…

Q: Which of the following trigonometric substitutions is the e 4x dx most appropriate to the integral f…

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Q: c) If f(x, y)= e" cos 2x, then show that = 0.

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

A: To evaluate: ∫dxx2−2x−4 Let I=∫dxx2−2x−4 ⇒I=∫dx(x-1)2-4-1 ⇒I=∫dx(x-1)2-5

Q: e cos xy [ydx + (x + tan xy) dy] = 0 %3D

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Q: The function Re Cos z is harmonic in the C.

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

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: Using trigonometric substitutions, x3 dx is equal to: V16 + 4x2 !(4 + x?) – 2V4+ x? + C (4 + x*) -(4…

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

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Q: Using the substitution x = 2 cos 0, what is the value of f, V4-x2dx. (b) *1+2vx dx using u = 1+2Vx…

A: a) It is required to find the value of ∫124-x2dx using substitution x=2cosθ. Differentiate x=2cosθ…

Q: When integrating by trigonometric substitution | V4x² +25 dx becomes a) jsc 25 sec? O tan O dO 2…

A: Solve

Q: 2. Evaluate the following using trigonometric substitution. Show all necessary solutions. dx (b) /…

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Q: Evaluate using Trigonometric Substitution: dx (16+#²)? æ(x²+16) tan-1 +C - a2+24 x(x²+24) 6 tan-1 +…

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Q: 1. Use Trigonometric substitution to evaluate f dx. Hint: Ju? – a² let u a sece.

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Q: 1 Using a trigonometric substitution, the integral dz becomes: Select one: O a. ftan ede b. fcsc ode…

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Q: T/2 Evaluate using Wallis' Formula: sin? x cos5 x dx

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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: Express sin A, cos A, and tan A as ratios. 12 6. 6V3 OA. 글, V3 V3 O- B. V3 글, V3 O . V3, ,2/3 OD V3,…

A: From the given figure for angle A, opposite=63adjecent=6hypotenuse=12

Q: Determine for which values of n EZ are the following numbers purely real, and likewise purely…

A: Note that the complex numbers can be converted into the exponential form using the following…

Q: Given a function f(x,y,z) = (x+6) In (5y - 5) sin (9z). Find the range of the function. %3D

A: For the solution of the problem follow the next step.

Q: Using trigonometric substitutions, f- Vx2- 9 dx , x > 3, is equal to: 3x Vx2 – 9 – 3sec-1 (÷) + C…

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

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

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Q: elt is evaluated by using what formula? O et = cos(x) + sin(x)i O et = lim (1+ )" n %3D n→0 п et =…

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Q: In solving for the antiderivative of f(x) = V94X- x2 using trigonometric substitution, Jf(x)dx is…

A: Given that fx=9-4x2x2∫fxdx∫9-4x2x2dxlet,…