3. (2x+6)*dx

Q: S 16x (8x? – 1)³ dx 6x2 dx x3+8

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Q: Solve the following integral S,x²e*y dxdy

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Q: Evaluate the following integrals. Show your complete solution. 1. S(15x* – 6x² + 2)dx 2. S(VE-)dt

A: The given integral,1. ∫(15x4-6x2+2)dx2. ∫t-1tdt

Q: 4. Sx 2* 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: 1x

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Q: b) S 4x/8 – xdx

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 35 dx 3e 1. J- Ve3x…

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

Q: 1 L (3x2 – 6x + 9)dx 1. 3 H/3

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Q: y3 – y-2 dy y?

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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: (Inºx– 3lnx) *dx

A: Given that∫ln6x-3lnx4x dxSolution :let…

Q: 2,31 dx

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Q: 2 t + 13) dx

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Q: 6t dt +1 5.

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Q: Solve the following integrals. 3.) So Sy dxdy y²-x²

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Q: 1. L, 4x³ dx -2

A: Value of definite integral is 65.

Q: Q1 - Evaluate the following integrals i. Sxe-*dx

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Q: 82y*–3y° (y² – y) dy (1y² – y) dy

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

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

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Q: raluate the following indefinite integral: 4x³ – 5a² + x – 7) dæ |

A: We have to find

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 3edx -16 2.10-3rdr…

A: We need to solve integrals.

Q: LEvaluate the following integrals. +vã )²dx 1.

A: 1. To evaluate the integral: ∫2+x2dxx Solution: Let substitute t=2+x. Differentiating with respect…

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

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Q: dx 2. x?V4-x2

A: Let x=2sin(u)⇒dxdu=2cos(u)⇒dx=2cos(u) du  and u=sin-1x2 ∫dxx24-x2=∫2cos(u) 2sin(u)24-2sin(u)2du…

Q: 2r dr (1 – r)7

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Q: Evaluate the following integrals using the substitution method. Answer numbers 1-2. Show your…

A: NOTE: You have posted multiple questions, we have solved the first question for you, if there is a…

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: Find the following definite or indefinite integrals: -3 b) S dp (2p+1)2

A: ∫14-32p+12dpLet 2p+1=t⇒2 dp=dt⇒dp=dt2      and at  p=1, t=2×1+1=3at p=4,…

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: x19 In(x)dx 1

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Q: 2 S²₁ (x² x) dx ,

A: To find out the integration.

Q: x + 4 dx = x' + 4x

A: Given, ∫x+4x3+4xdx Now we take the partial fraction we get, x+4x3+4x=Ax+Bx2+4…

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

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Q: 2: Solve the following integrals: - 7x² +14x+15 (x²+3)(x+7) dx ; 1) S

A: Given: ∫7x2+14x+15x2+3x+7dx

Q: 1 36* dx V6* + 3 2x dx x2 + 2x + 5

A: The given integrals are: ∫0136x6x+3dx and ∫2xx2+2x+5dx

Q: 4. 3x

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx dx 2. xV4-x?

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Q: 3.

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Q: 1. (x² – 4x +4)x

A: Given:       ∫x2-4x+443dx    =∫x-2243dx     =∫x-283dx  substitute u=x-2→dudx=1→dx=du        =∫u83du

Q: (2x - 3x +1 2x2 -3x +1 x' + 2x?

A: Given, The integral ∫2x2-3x+1x3+2x2dx  We have to evaluate the integral.

Q: Vx* +4 dx 2 x +4

A: From the given integral: I=∫dxx2x2+4  ......(1) Use the trigonometric substitution to find the…

Q: 6. Sxe -3* dx хе

A: We solve the above integral using integral by parts which is given in step 2 .

Q: Sx² Vx – I dx

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

Q: 3x Se 3x-e dx

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Q: +5x² -6x* + 4x_

A: