Evaluate the following integrals using the substitution method. Answer numbers 1-2. Show your solution. (5x – 1)² dx

Q: S 16x (8x? – 1)³ dx 6x2 dx x3+8

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Q: Evaluate the following integrals. Show the solution. 1. S csc? (7x + 5) dx 2. fx? sec (4x³ + 9) dx…

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Q: S 6x2 sin x3 dx

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Q: 6x(a3x*-1) dx 4.

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

Q: 1 L (3x2 – 6x + 9)dx 1. 3 H/3

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Q: 3.) 124-1|dx Evalnate: dt given taat Ina = 9 Evalmate t

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Q: Solve the following integrals with detailed steps: dx a. x²/4+x² dx S - (4-x²)ž b.

A: a). ∫dxx24+x2 Put, x=2tanθ⇒1=2sec2θ·dθdx⇒dx=2sec2θ·dθ Therefore,…

Q: Evaluate the given integral. Use exact values. – 2x – 14 dx (x + 3)(x – 5) +C

A: topic - indefinite integral

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: c34 dx (x – 2)4/5 1

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Q: Solve the following Integrals by Substitution (뿔) V1 – e-2x cln dx. In2 |

A: We have a integral  ∫ln2ln(23)e-x1 - e-2xdx  Let  I =   ∫ln2ln(23)e-x1 - e-2xdx  Put  e-x =  t     ⇒…

Q: Evaluate the following integrals. (a) So (b) S1 |1 – x²| d (c) So da e2 dx 1+x²

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Q: 4. dx (x² +1)*

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Q: 82y*–3y° (y² – y) dy (1y² – y) dy

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Q: e*dx е 2x+1 e

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Q: In the following equation/s, find the indefinite integral :- see the equation attached here

A: To Find: ∫19z-5-19z+5dz

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

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Q: •34 dx J. (* – 2)4/5

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Q: Solve the following integrals with detailed steps: dx а. x²/4+x2

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: evaluate the definite integral using the values below. 23 dx = 320, a de = 16, dx = 4 2 34. z da

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Q: For what values of K is the following integral improper? 5x dx x2 - 19x +90

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Q: Evaluate the following integral as it is written. 1 4x 3xy dy dx 0 x3 1 4x 3xy dy dx = 0 x3…

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Q: Evaluate the following integrals: Given y = 3e* + 2 In 3x, is equal to? Solution:

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Q: dx (6-x²)3/2 TT

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Q: 4. For each of the following improper integrals, find the value of the integral or explain briefly…

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Q: -4x dx | xe

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Q: 00 dx 1 3 x³ (x²-9)Z x2.

A: Let I is the value of given Integral.

Q: Evaluate the following integrals -3r (r+y²)dydx

A: Given query is to eveluate the integral.

Q: Solve the following Integrals by Substitution 1 (a) dx 1— 4г2 et -d.x 1+ e2x (b

A: (a) To evaluate the integral: ∫11-4x2dx Solution: Let substitute t=2x. Differentiating both sides,…

Q: Evaluate the following integrals i. L Ix| e(1+x*) dx -0.5 ii. So x cosh(x² + 1) dx

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Q: Sx(x² – 3)11 dx

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Q: S6x-7)(x-3)dx - 3)d 1.

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Q: Find the following integral, given that f (x) dx = 10 and | 6)*dx = 14. 9. b.

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Q: 3x+2 1. [ -dx x² +8x + 25 (4x +1)dx 2. J- V-4x? +12x–5

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Q: -2 dx o (x-1)2

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Q: dx 2x² 2. + 6

A: Given ∫4x2x2+6dx In order to solve the given integration first substitute 2x2+6=u and then proceed.…

Q: Solve the following integrals:- (2) S dx (1) Sx3-2x² dx x²√√9-x²

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

Q: r4 dx 7. So

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Q: Evaluate the following integrals. 1) La7 dx Ans. 4 1 v1-2x-x2

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Q: Find the following indefinite integral - 3r – 5x + 18 dx x² – 6

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Q: Evaluate the following integral. -0.8x dx 3 e S. -0.8x dx = 3 e (Use C as the arbitrary constant.)

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Q: Evaluate the following integral as it is written. 1 2x ху dy dx 0 x? 1 2x ху dy dx %3D (Simplify…

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Q: 9. S (6eº+1)/½ eo 10. |(1 + 2x)³ dx

A: We can solve as follows

Q: Evaluate the following integrals: xex dx 2. xe/2 dx 1.

A: Given: I1=∫xe5xdx, I2=∫xex2dx For evaluating given integral, we use integral by parts theorem…

Q: dx 3 Vx Vx (1+Vx)²

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Q: x² dx V(a? – 8)5

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Q: Evaluate the following integrals.

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

Q: Sx² Vx – I dx

A: Given query is to find the value of integral.

Q: 3. S: (х2+2)2 dx

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