If you are going evaluate the integral dx x² – 6x + 13 using trig substitution, which substitution should you use?

Q: 2x Use substitution to evaluate the integral dx (x² + 3)°

A: We have to apply rules of integration to solve the problem Power rule: xn =( 1/n+1)(x)n-1

Q: Rewrite the integration in terms of u. 2x dx = du x² + 16

A: Given :∫032xx2+16dx

Q: Evaluate the integral. V3/2 19x2 dx V1 - x2

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Q: The integral 9x? – x3 – 18x dx MUST be -1 evaluated by breaking it up into a sum of three integrals:

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Q: Evaluate the integral |(2x + 6) (2² + 6x + 6)°dx by making the substitution u = x² + 6x + 6. + C…

A: Indefinite Integration

Q: Evaluate the integral (2x + 6)dx x² – 2x + 17

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Q: -14 dx 4 -2 x+2

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Q: Evaluate the integral.

A: Given integral to evaluate ∫14x249-x2dx=14∫x249-x2dx substitute u=sin-1x7x=7sinudx=7cosudu The…

Q: a+bx² dx V3ax+bx3

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Q: Evaluate the integral. dx 3 x+Vx² + 27

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Q: Evaluate the integral. 4x° V1 – x² dx = 0, NOTE: Enter the exact answer.

A: Given: Let I=∫01 4x31-x2 dx To Find: To evaluate the given integral.

Q: Evaluate the indefinite integral: 8x4 - 2x dx %D x3 + C.

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Q: dx x4+16x²

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Q: Evaluate the improper integral 2x dx, if it exists. (x² + 81)² 8.

A: The value of the integral ∫-∞02xdxx2+812 is given by: ∫-∞02xdxx2+812=-1x2+81-∞0=-181-1-∞=-181-0=-181

Q: Evaluate the integral. х3 — 5х — 8 dx x2 — х — 6 -

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Q: 1 dx x² Vx2 – 9 3.

A: Given ∫3∞1x2x2-9 dx We have evaluate the integral. Formul;a will use1.∫sinxdx=cosx2. sec2x-1=tan2x

Q: Evaluate the integral v22 -6x? dx V1- x2

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Q: 6 dx x2 + 4x + 13 12

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Q: Evaluate the integral (2a+4)(x² + 4x + 2)*dx 4 by making the substitution u = x+ 4x + 2. ,2

A: Let u=x2+4x+2, now differentiate it with respect to x. du = (2x+4)dx So,…

Q: Evaluate the integral fe (2x+4) (x² + 4x + 2) dx n- by making the substitution u = x²+ 4x +2.

A: In the question we have to find the integral of the given function.

Q: Given the integral J6x2 - 4x dx бх2 - 4х

A: Complete the following question involving basic integration techniques. Given the integral…

Q: 7x Evaluate the definite integral : dx (6x2+2)2

A: Given,          ∫017x6x2+252dx

Q: Evaluate the integral. dx x2 + 4x + 20

A: Solution: ∫02xx2+4x+20dx

Q: 2 dx o 2x² + 3x + 1

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Q: Evaluate the integral. X - 4 dx Jo x2 - 5x + 6

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Q: 3x 2.5 dx V1 — 5х2

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Q: Evaluate the integral dx (2a + 6) by making the appropriate substitution: u = dx (2a+ 6)°

A: I have use the substitution

Q: Evaluate the integral 9x² √x² + y² dzdy dx

A: Given problem:-

Q: Sx³(a² + x²)î dx

A: We will solve the problem.

Q: Evaluate the integral. dx (x² – 1)3/2

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Q: Evaluate the integral. 3x-7 (a) S- dx x2-2x-8

A: Answer and explanation is given below..

Q: Evaluate the integral |(2x + 8) (x² + 8z + 9)°dx by making the substitution u = x² + 8x + 9. + C…

A: GIVEN DATA : Integral ∫2x+8x2+8x+92dx TO FIND : Evaluate the given integral by making substitution…

Q: dx 2 28 — 12х — х

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Q: What change of variables would you use for the integral  ∫(4 - 7x)-6 dx?

A: Consider the following integral: I=∫4-7x-6dx Substitute 4-7x=t→-7dx=dt→dx=-17dt in I:…

Q: 3. Find the integral. 2x dx x2 + 10x + 29 а.

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Q: 1. Evaluate the integral 2 dx x2 +4x + 20

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Q: find the integral 4V2 (4 – x³)/² dx 3

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Q: Evaluate the integral: 9e3x dx е3x Vебх — 25 -

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Q: dx -0* (2x-1)3

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Q: Evaluate the integral. 1 X - 4 dx x2 – 5x + 6

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Q: 3 x° +x* dx x² 4 3

A: The given integral is solved below in detail.

Q: Q.4 Using the method of substitution the integral fxer-3 dx

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Q: a) Find the integral 3x7 dx dy . Vr – x2 -

A: Given, the integral is Here y = 0 and y = 1 and x = Öy and x = y2.

Q: Evaluate the integral (2x + 4) (2² + 4x + 2) dz by making the substitution = x² + 4x + 2. Submit…

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Q: To evaluate the integral/ V3 – 3x² dx,

A: Substitute, x=sin(θ)dx=cosθ dθ The expression f(x) becomes,

Q: Evaluate the integral ∫dx / x2+4x+8.

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Q: dx 나) | 10-10x

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

Q: Use the substitution x = 5 sec t to evaluate the integral / dx xVx2-25

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Q: Find the definite integral c2 2127 dx z13z2 1

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