Using a trigonometric substitution, the integral dz becomes: (z2 - 4)3/2 Select one: a. None of these sin 0 Ob. co @ de Cos 6 sin @ de d. ftan 6d0

Q: To evaluate the integral 23 V2-2x 3 da, using trigonometric substitution, which substitution should…

A: Given, ∫x3x2-2x-3dx Find which trigonometric substitution is used to evaluate the above given…

Q: y? dy = In Vy² + 3 + y V3 5. y :+C (y? + 3)i /y² +3

A: on solving this we get the

Q: Consider b sin() dx where a, b E R. Which of the following selections result in the integral…

A: I=∫ab sin2x5π dxI=1π-cos2x525abI=52π-cos2b5+cos2a5I=52π2 sin2b+2a5(2)sin2b-2a5(2)I=5π sin(b+a5)…

Q: Consider the following integral dx - After making the trigonometric substitution x = 3 sin 0, which…

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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: For each of the integrals choose the correct trigonometric substitution for æ and find dr. Do not…

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Q: 2. Evaluate the Trigonometric integral. C (a). S sin(2x) cosxdx. rT/2 (b). S cot?xcsc*xdx. T/4

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Q: use a geometry formula to find the exact value of the definite integral  4x dx on the interval [0,b]

A: The given function is 4x with the interval [0,b].

Q: Given: √√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? A…

A: The given integral is: I=∫-x2+4x+5dx=∫9-4+4x-x2dx=∫9-4+4x-x2dx=∫9-(x-2)2dx

Q: Using an appropriate substitution, the integral Jez-tan is equal to 2-tan sec²0 de O none of the…

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

A: Explained below

Q: S= The integral dx can be transformed to which of the following when trigonometric substitution is…

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

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Q: To solve J- -dx using a suitable trigonometric substitution, the integral can be rewritten as…

A: We are given the Integral : ∫14+9x2dxLet x=23tan θ⇒dx=23sec2θ dθ∫14+9x2dx=∫14+923tan θ223sec2θ dθ…

Q: Find or evaluate the integral using an appropriate trigonometric substitution. +3 x2 dx 4 + C

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Q: Consider the following integral dx - After making the trigonometric substitution r = 3 sin 0, which…

A: The integral                        ∫dxx29-x2 After making substitution x=3sinθ, we have to choose…

Q: 1 dx becomes: Using a trigonometric substitution, the integral x* V1-x? Select one: Jcsc* e de Sante…

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Q: If you are going to evaluate the integral S V1 - 7w-dw using trigonometric substitution, the answer…

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

Q: Evaluate the following trigonometric integrals: 1+cos 2 0 L, V4 – x2 dx Hint: Put x = 2 sin 0 and…

A: We evaluate  this integral of trigonometric ratios by using substitution method and basic…

Q: To evaluate dx using trigonometric substitution, which of the following is the new integral form in…

A: Given integral is ∫x2-x2-1 dx.

Q: To evaluate the integral dz, V 2-3 using trigonometric substitution, which substitution should you…

A: As the question only demanded the trigonometric substitution so I have only solved just to reach the…

Q: 1. a° cos(2)da = %3D

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Q: dy y(y²+1)|

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Q: Given the integral J sec° (x – 1) tan" (x – 1)dx, which of the following equations will be useful…

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Q: Given the following integral SVsx2 - 20 dx Determine the Trigonometric Substitution formulas that…

A: Given:

Q: Consider the following integral d.r After making the trigonometric substitution ar = 3 tan0, which…

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Q: In the given question as folows , use trigonometric substitution to find or evaluate the integral :-…

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Q: 1 Using a trigonometric substitution, the integral - dx becomes: Select one: e de Scos'e de cose de…

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Q: Evaluate the integral J dx using trigonometric substitution. x²/16–a?

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Q: Given /V-x²+ 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? Sa.…

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Q: T/2 COS z xp V4 - sin? a

A: givenI=∫0π2cosx4-sin2xdxsubstitute  sinx=t therefore limits will change t=sinπ2=1  to t=sin0=0after…

Q: Given the following integral Determine the Trigonometric Substitution formulas that need to be used…

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Q: After choosing the appropriate trigonometric substitution the integral -dx, becomes J4 x O None sin…

A: Topic- integration by substituting

Q: Consider V-x² + 4x +5 dx. Using trigonometric substitution, what is the integral form in terms of 0…

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Q: To solve dx using a suitable trigonometric substitution, the integral can be rewritten as Skole)de.…

A: To solve: ∫14+9x2dx Let I=∫14+9x2dx To solve this, we need to apply trigonometric substitution…

Q: Steve uses the trignnometric substitution tan ()to evaluate / e) de After simplification, the…

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Q: V4 the integral | -dx, becomes O None cot2 (0)d0 tan? (0)de cos? (6)de 4 sin (0)de

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Q: 3n/4 cot a In(sin r) dx

A: Use integration by parts

Q: The best substitution to use for the integral sin z V1+ cos z dx

A: when we substitute, u = 1 + cosx then the value of du = - sinx dx

Q: s After an appropriate trigonometric substitution, the integral transformed into which one of the…

A: Concept: The trigonometric change: The trigonometric identities can be used to assess several…

Q: Using a trigonometric substitution, the integral -dx becomes: R+25 Ss tan (@)de 5 tan?(@) de sec e S…

A: In the question we have to find value of integral after Trigonometric substitution.

Q: The integral / sin²xcos?xdx is equal to M – cosN) dx' what is M and N? (1- M= N=

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Q: After choosing the appropriate trigonometric substitution the integral | x2 - dx, becomes

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Q: Given the integral S5x+ cos(7s) dx Use the technique that we went over in class to find "u", "V",…

A: Given ∫5x*cos7xdx   using by parts technique determine u, v and du

Q: Given V9x? + 4 ax. Using a suitable trigonometric substitution, the resulting integral in terms of…

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…

Q: When applying trigonometric substitution in the integral: x5 J S -dx √4x² J is equivalent to: O a) […

A: Given integral is  J=∫x54-x2dx Using trigonometric substitution, eliminate J and find the equivalent…

Q: By using appropriate substitution and then trigonometric substitution to evaluate the integral. 2 1.…

A: Use the substitution method, to simplify the integrand in the integral ∫etet+9dt.…

Q: * Which of the following integrals will yield an inverse trigonometric function? dx A 9– 16x2 wdw…

A: To determine the integral among the four given integrals which gives an inverse trigonometric…