x7= - 3x + 18 JZ - 54 in (3+ 57) + c 3/2 2 dx = %3D 3 + VX 3

Q: /25 – x² (-2x) dx 11.

A: 11. According to question,Given integral,∫25-x2-2x dx

Q: dx Integrate: S x²-3x+2

A:

Q: x dv (2.v) - dx (V²1) dv (1+r) dx X 2 \-2 V-V²

A:

Q: .2, Sx² Vx – 1 dx

A:

Q: Evaluate the integrals

A: Given: ∫z+1z2(z2+4)dz

Q: 12. S dx 2x3 x++1

A:

Q: Calculate the derivative.

A:

Q: d/dx(2^4x+3)

A: Given query is to find the derivative of 2(4x+3) .

Q: 4. f Inv9 - x2 dx - integration by parts

A:

Q: -) S xe²*dx .2

A:

Q: Vx+1 3. у 3D dy x+1 dx 12/09/2021

A: Find the derivative of  y= (√(x+1)/(x+1))2

Q: *y=(2x^2+6) find dy\dx 4x\(2x^2+6) O 6x O 4x\(2x^2+7) O

A:

Q: · 8 Find f(x) dx = 5 (5 f(x) – 6) dx 8, and

A: Given ∫211f(x)dx=5∫25f(x)dx=6∫811f(x)dx=4

Q: S 2dx x(3(Inx)"+1지lnz-15)호 2 +13/nx-15)

A:

Q: 2 S(4x3 + )dx x+1

A:

Q: 13. S: 5x dx x5-3

A:

Q: dy Find- , if y = 2x+9 dx x2- 5x+1

A:

Q: Evaluate. .3 S (-x² + 4x – 5)dx -2

A:

Q: ,3 dx 3 Vx²-16

A: Given integral I=∫x3x2-163 dx

Q: 7). Sx² sech x³ dx 3

A:

Q: dy 4x 29. dx 4x + %3D V16 - x2

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Q: S (Vx² + 1) dx 4 2

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Q: 8. S(x³ + 2x² +x – 5)e2* dx -

A:

Q: 14) S(3x + 2)v5 – x dx

A:

Q: 4 S. x* - 6 dx = 14

A: Let, I=∫x4−6x14dx ⇒I=∫1x7x4−6dx ⇒I=∫x2x71−6x4dx ⇒I=∫1x51−6x4dx

Q: (A) Evaluate S (3x + 6) (4\/¤ +1) dæ. dy if dx 3x2 (B) Find 2 5 y = = (- 5 + 2x – when x = 1

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: dx S x(1+(lnx))²) 2.

A: This question is related to indefinite integration, we will solve it using given information.

Q: 1.J347x2+12x .s 3x2+8x-12 dx

A: 1). Given: I=∫3x2+8x-12x3+7x2+12xdx We know that; ∫1ax+bdx=1alnax+b+C   Note: As per Bartleby…

Q: 4 4 + x2 Find 3 x° + + 4/x ) dx - -

A: Given integral, ∫x3+4x+4x2+4xdx

Q: of dx forf = 3x² y² – 4.x³ y Q2. + -

A:

Q: 2 S. x*- 4x +4 dx (メ-2)(x4) |

A: Solution: Consider the given integral is: I = ∫x2-4x+4(x-2)(x2+4)dxI = ∫x-22(x-2)(x2+4)dxI =…

Q: (#9) S x2 dx V16-x²

A:

Q: Find d/dx {6[(x^2 − 3x)^2]}.

A: Given:

Q: 4 dx is equal to: xv16 - x2

A: we have to find the following integral

Q: b. Find S 5x*(x5 – 1)dx using a suitable substitution.

A:

Q: II. Solve xdy + (3x – 2y)dx = 0 in two ways

A:

Q: Q1) Find 2/3 dx a) Jas x*/9x² – 1 V2/3

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: dx 1. S V-x2+ 6x + 3

A:

Q: 13. S 5x dx x5-3

A: To integrate ∫5x4x5 - 3dx

Q: 9. S." §, x*V9-x dx 16 dx Vx-2 10.

A: We need to evaluate the given definite integrals, to sove we will use the substitution method.

Q: dx 4x+6у+5 dy Зу+2х+4

A:

Q: Find d^2y/dx^2 for y=2x^3-5/x^2

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Q: dy _ ху+3х— у-3 dx ху - 2х + 4у -8

A:

Q: 3 dx 4. = 2/3 V3-x 0,

A: Solve the problem by substitution. Substitute 3-x=t

Q: Find S 6+ 3x + 4 dx x2+1

A: Solution:

Q: 5 dx is: V4-x2

A: Given:  Let I=∫54-x2 dx To Find: To evaluate the given integral.

Q: 3x + 1 dx 28. V4 – x2 -

A: Formula used : ∫dx1-x2=arcsin(x)+c

Q: Vx2tan4x2 dx 2. S (2cos2x2-1)2 dB 3. S 1+e2B 2lnx+1 dx 4. ((Inx)2+Inx) x

A: Given:  2 ∫x2 tan4x2 dx2 cos22x2-123 ∫dβ1+e2β4 ∫2 ln x+1ln x2+ln xdxx  To Find: To evaluate the…

Q: II. Solve xdy+ (3x – 2y)dx = 0 in two ways.

A: We have given differential equation,  We have to solve it using 2 ways,  1st Method: It is of the…

Q: (2) √ 2²² dx S 9-x² (2) > fx(x + 1)¹ dx

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture and a…