d/dx [(2x+1)3(3x2-1)4]

Q: Evaluate:

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Q: 1 -dx 3-4х

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Q: intergral xe^-3x dx

A: We have to integrate the given function, ∫xe-3x dx

Q: 2X+3-=X 3X%=DX メー3

A: We will solve the given equation to find the value of x that satisfies the equation. First of all we…

Q: 8 3x -dx 3 3 V 2 – x 2 -

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Q: 3x +2 J. - dx. (x² +9)(x– 4)x 10. Find the principal value of

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Q: 9. dx 5-4x-x²

A: As per our guideline we are supposed to be answer only one question you can repost other question in…

Q: intergral 1/20 1/((x-1/2)2 + 3/4) dx

A: Formula Used: ∫1x2+1dx=tan-1 (u)tan-(0)=0tan-1-13=-π6

Q: (2²–4)* -dx (x-2)²

A: We have to find the given integral

Q: 5 -x° + 2x 3 dx .2 x +4

A: Consider ∫x5-x3+2xx2+4dx = ∫x5+4x3-5x3+2xx2+4dx= ∫x5+4x3-5x3-20x+2x+20xx2+4dx=…

Q: 10. 4x+9 x² - 4x+20 2 -dx

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Q: 2x - 4x – 8 -.dx Find -3)(x* +4)

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Q: 5. (3x-17) dx / (x² - 6x + 10) 11

A: As per our guide lines we are supposed to answer only one question. Kindly repost other questions as…

Q: 2 sec2( sec-1x)dx xVx² -1 3. 3.

A: Here  we evaluate    ∫32 sec2sec-1xxx2-1  dx

Q: ди + 2и ду %3D dx2

A: Given PDE is

Q: 6x + 7 -dx. (x +2)2

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Q: (iv) S х2 +3х-1 dx x3-1

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Q: Integrate [Vx* - x² - 3 -dx

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Q: cosh 3x-1 S - dx 2

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Q: dx J-16x 398. dx x|/4x* -16 402.

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Q: 11. f -dx 3x+1 +4x

A: these 2 questions are not related to each other so according to bartleby guidelines I need to solve…

Q: (2х-1)dx х4-2х3+x2

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Q: 2 (3x- 2) dx Вх — -2

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Q: b) Integrate: 2x + 5 -dx 2x*(x+3)(x –1)

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Q: 8. f sec² (3x - 1) dx

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Q: 2. 7ー dx - 2. 7-X 3

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Q: 3-4x-10 x²-x-6 dx.

A: Given integral ∫x3-4x-10x2-x-6dx. The objective is to evaluate the integral.

Q: 2х+2 dx. 5. J2-2x+1 х2-2х+1

A: Given that a integration and we solve this integration by using general formulas of integration. We…

Q: .4 dx 2 Vx2-2

A: Given:        ∫24dxx2-2 Apply trigonometric substitution:    substitute x=2sec u and dx=2 sec u tan…

Q: Integrate the function. 2 + 16 dx 2x2

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Q: 2dx 10. S 2x+3x+1 11. *-2x2-4)dx 3 x-2x2

A: 10.  Let I=∫01 2 dx2x2+3x+1 =∫01 2 dx2x2+2x+x+1=∫01 2 dx2x(x+1)+1(x+1)=2∫01 dx(x+1)(2x+1) Using…

Q: esin¬1 x dx V1-x2

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Q: (2² –4)* -dx (x–2)²

A: First we simplify numerator with using appropriate identities then integrate

Q: 3 9 dx dt -1 -3 [:] 2 with a (0) = 4

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Q: (3x4-43)dxc+(xy²-2x?4)dy:

A: 3xy2-y3dx+xy2-2x2ydy=0 fx,y=Mdx+Ndy ∂M∂y=∂N∂x For M=3xy2-y3∂M∂y=6xy-y2 For N=xy2-2x2y∂M∂y=y2-4xy…

Q: 3- f xvx2 +1 dx

A: Integration

Q: x-4- dx x²-5x+6

A: Given, ∫x-4x2-5x+6dx   We have to integrate.

Q: 2x +1 (ii) Sa. dx . 6x² + x – 15 (ii) J

A: We first factor the denominator

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

A: To evaluate the integral: ∫2x+3x2+3x+4dx Evaluating the integral. Let substitute t=x2+3x+4…

Q: (3z² + 1) dx (2 + 2x + 1)²

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Q: V4- V4-x dx 11.

A: Solution of question as follows

Q: 2Rx-3 + (x² – 3)] dx а. - (Rx2-3x+1)5

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Q: dx J-25a2 1–25x² -25x2 8.

A: The objective is to evaluate the integration.

Q: 4x + 1 dx Jx3 + 3x2 - 6х -36 2.

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Q: 2x +1 -dx J - 3x +2` 4. х — Зх

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Q: dx 2. x2 – 6x + 13 -4 dx 3. (x – 2)3

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Q: (х-3) dx х" +3x-10 с)

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Q: (4 - x2)3/2 dx 3

A: Consider, I=423∫-22(4-x2)3/2dx I =4232∫02(4-x2)3/2 dx   since f(x) is even function that is…