Evaluate the following integrals 3. 3x a) (x2 - 4)? 21 dx 4 b) (3х — 2)4 dx

Q: 1/2 dx 3. Sx³ (a² + x²)/2dx

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Q: Evaluate the following integrals: 2r - 2r + 1 dx 1)

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Q: ) Evaluate the following integrals. 16x x4+3x2+1 3 + 24x dx (a) 0,

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Q: Evaluate the following integrals.

A: Given integral:

Q: Use the substitution formula to evaluate the integral. 4 8 - Vx 15) S" dx 1

A: Let's find the value of indefinite integral first: I=∫8-xxdx Substitute 8-x=u⇒-12xdx=du⇒1xdx=-2du…

Q: Evaluate the following integrals 3x dx (x2 – 4)2 4. dx b) (3x- 2)*

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Q: 1 L (3x2 – 6x + 9)dx 1. 3 H/3

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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 following Integrals. dx V1 – 4.x2 4. -

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Q: Evaluate the following integrals -3.r/4 + 8a*]dx -3

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: 12x+7 dx 2х+1 бх+3 -dx 12x+9 dx x²+2x+3

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Q: Evaluate the following Improper integral: +00 dx x2 + 2x + 4 8.

A: We will evaluate the following improper integral.

Q: 6t dt +1 5.

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Q: 7х—1 dx х2—х-6 х-1 dx х3—х2—2х

A: Given ∫7x-1x2-x-6dx

Q: Evaluate the following integrals. Show the solution. 1. fcsc² (7x + 5) dx 2. x² sec (4x³ +9) dx dx…

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

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Q: -3x+1) -3х 2-3* dx

A: According to our company policy we are supposed to answer only first question and rest can be…

Q: 12.) / 5a2 – 14x + 6 dx 23 – 3r2

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Q: Evaluate the following integrals: (i) S(x² + 1) e-3* dx x5-2x2 (ii) S; Vx6-4x3

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Q: Use any method to evaluate the integral. 8 dx (16x? + 1)?

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Q: 1 dx 2x2 — х — 3

A: The given integral ∫12x2-x-3dx

Q: Evaluate the following integral. Enter an exact answer. •3 4 3 dx x3

A: Topic = Integration As per guidelines , At a time only one question can be answered,

Q: 8. S dx (4x2-24x-27)3/2

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Q: Evaluate the following integral 2 I = (4x3 – 3x2 +x – 1)dx, | -1 2.1. analytically 4

A: Thanks for your question. Since your question contains multiple parts, so we are solving the first…

Q: Evaluate the following integrals. 9 – x2 dx - 1.

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Q: 2. 21-/9 – 4ª dx

A: The by parts method is given as ∫uv=u∫v-∫u'(v) where u is the first function and v is the second…

Q: Evaluate the following integrals 32-1 x + 2 dx +-² +1

A: SOLUTION-

Q: Evaluate the following integrals.

A: Consider the given integral ∫016dx1-9x2

Q: use the indicated substitution to evaluate the integral.

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Q: Evaluate the integral of the following. 1 | sec*-xtan* 1 2* dx

A: We will evaluate the integral as following.

Q: x³+2x 1. dx x2+1

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: x Inx dx .2 4. dx 4-x2 3.

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Q: Evaluate the following integrals.

A: We have to solve the following integral ∫3x2+3x+1x3+xdx Now, we will solve this by partial fraction…

Q: Evaluate the following indefinite integral. dx xV 4x2 – 1 ||

A: Given, ∫dxx4x2-1  We have to evaluate the indefinite integral.

Q: (х+4)dx х2+2х+5 dx х2-2х

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Q: Determine the following integrals or state that they diverge. 2.) xln(x)dx 0.

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Q: Evaluate the following integrals 1 (2x – 1)ª dx 6x b) dx V – 4

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Q: Evaluate the following integrals. -1 L₁ (3²- (3x² - 4x−¹+2) dx

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Q: (x+1)dx x²-3x+5

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Q: Evaluate the definite integrals a) Vi dt = 16 1 dz = b) 64 / dx = 8.

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Q: dx (2x241)a

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Evaluate the following integrals.

A: ∫x91-x20dx=∫x91-x102dx Now put, x10=t⇒10x9=dtdx⇒x9 dx=dt10

Q: Evaluate the indefinite integral. 8x7 dx (28 + 1)² + C

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Q: dx (6-х?)3/2

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Q: Evaluate the following integrals.

A: we have to evaluate the integral ∫9161+xdx

Q: Evaluate the following integrals.

A: ∫x1-9x2 dx Put, 1-9x2=t⇒0-92x=dtdx⇒-18x=dtdx⇒-18x dx=dt⇒x dx=-dt18

Q: Which one of the four integrals below has a finite value ? Select one: 00 x? dx 00 1 dx 3 00 x dx 3…

A: We have to find the integral which have finite value.

Q: Evaluate the following indefinite integrals. 1. [(5x + 4)¹¹ dx 2. √x (x² + 2)¹7 dx

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