Make a substitution to express the integrand as a rational function and then evaluate the integral. (Use C for the constant of integration.) x2 + xVx

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: Given information: Concept Used:

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: ∫xe6x2-4dx

Q: Consider the following. 5x4 dx x5 + 8 1 Find a substitution to rewrite the integrand as - du. u = du…

A: Solution

Q: Given two functions, f1(x) = 2x and f2(x) = x2, explain what  ∫20[f1(x)−f2(x)]dx  represents and…

A: Given:

Q: Given ∫(2x5+x3+6x−2)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: Evaluate the integral х3 dx x2 +49 х3 dх x2 +49 (Use C as the arbitrary constant.)

A: We substitute x^2+49=t, then the given integral become

Q: 1/6 dx 3.S T1-9x2

A: Solve the definite intregal

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: the integral. (Use C for the co + 16x + 1 xp (x² + 1)2

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Q: Given ∫(4x5−3x4−x2−2)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: Given ∫4x5-3x4-x2-2dx

Q: Use the specified substitution to find or evaluate the Integral. (Use C for the constant of…

A: The given integral is ∫x-5x+8dx. The main objective is to evaluate the integral by the substitution…

Q: 16 – x2 dx - Evaluate the integral: 9x?

A: (A)  x=4sin(θ) (B)  19cot2(θ) (C)  -19θ-19cot(θ) (D)  -19arcsin14x-16-x29x

Q: |Q1 - Evaluate the following integrals i. 2x+5 •dx x2+3x-10

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Q: Using the trigonometric substitution, the integral dx (x² 81) V x2 – 81 is equal to the integral, in…

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Q: Define a substitution variable u and write ;dr in terms of only u. (2x – 1)2 You do not need to…

A: Given: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integratiOn.) x4…

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Q: Evaluate the definite integral.

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: Use differentiation to determine whether the integral formula is correct. 7) [(5x + 7)4 dx = 5x +…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find the value of the integral T x² da (x²+9) (x²+4)²

A: To find- Find the value of the integral ∫-∞∞x2x2 + 9x2 + 42 dx

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: Given:

Q: dx - Evaluate the integral : o using residues and any other method which can be applied to solve…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Evaluate the integral. a dx 2 a > 0 (a² + x²)3/2' V2 92

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Q: Evaluate the integral. 13 x2 e-2 dx + C

A: topic - indefinite integral

Q: a) S In Gxt1) dx 2.

A: In this question we have to find the Integration. Formula Used, - Chain Rule. - ∫lnx=1x+C

Q: y²dy V4-3y у

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: d Calculate the integral 2r -x

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Q: use the indicated substitution to evaluate the integral.

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Q: x2 dx V(12 – 8)5

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: To find the integration.

Q: Use the specified substitution to find or evaluate the integral. (Use C for the constant of…

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x²V…

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Q: Decide whether you can find each integral using the formulas and techniques you have studied so far.…

A: Given: I=∫2dxx2+4 we know that ∫dxx2+a2=logx+x2+a2+c                                      ..1

Q: If you were to use a substitution of u = 4x³ - 2 to evaluate the definite integral below, what would…

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: Evaluate the integral: 6/ x² dx + C

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Q: Evaluate the following integral. (Use C for the constant of integration.) л tan 8x 2 л dx 2 sec 8x

A: Assume u=8x - pi/2.From there find dx

Q: Evaluate the integral. (Use C for the constant of integration.) R - 9x In(x) dx x² – 25

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: 3. Which integral should be evaluated using substitution? 9dx (b) dx 1+x2 1+9x2 (a)

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Q: Evaluate the integral + 3)(x² + 3x + 5)* dx by making the substitution u = x² + 3x + 5. + C NOTE:…

A: We can evaluate the given integral by using the substitution u=x2+3x+5 and applying the following…

Q: Evaluate the definite integral. (a) S, (x³ – 6x² + e-*)dx (b) S G+ 2)dx

A: a) ∫02x3-6x2+e-xdx=x44-6x33+e-x-102 Formula: ∫xndx=xn+1n+1 and ∫emxdx=emxm=x44-2x3-1ex02…

Q: Perform the substitution u = 21 + 1 to evaluate the indefinite integral 14e+ dt. Use Cfor the…

A: To evaluate:∫ 14e2t+1dt

Q: Use the specified substitution to find or evaluate the integral. (Use C for the constant of…

A: See attached file for a step by step explanation to find the required Integral.

Q: Find the definite integral c2 2127 dx z13z2 1

A: