4x+8 dx (2x+4)=

Q: dx 3. (x+2)Vx+1

A:

Q: (x- 3y+ 2)dx + (3x+9y –- 12)dy = 0 |

A:

Q: X+1 dx (x- 1)(x² + x + 1)

A: The given integral is: I=∫x+1(x-1)(x2+x+1)dx

Q: Ул4 — dx 2x2 + 1 3,

A:

Q: 5 dx 3. dx, x> 25x2-9

A:

Q: 2ху 6-dy 2ху+3y dx х+2ху ee

A: We put y=vx and solve the given differential equation.

Q: 2 X 1 dx -2 4

A: Let's see a formula of integration. ∫a2-x2 dx = x2a2-x2 + a22sin-1xa + C We use this formula to…

Q: •3 fx(2-x) 10. dy dx 0. r2VIn 3 VIn 3 35. •VIn 3 et dx dy

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

Q: 11. S x + 4 x² + 5x - 6 dx

A:

Q: so (x − 2)(3x − 4)dx

A: Multiply (x-2) and (3x-4)

Q: sec2 (e* – 7) dx

A: Given integral ∫ex sec2ex-7dx

Q: dx 2. du

A:

Q: x²(In(x))² dx

A:

Q: 4 х3 * tanx? * cosx dx 4

A:

Q: 2. S (3x- 12) x'dx (3х I dx 2.

A:

Q: Find 2 mnd dx² for y=( Snx)

A: Given: y=(sinx)x

Q: 3x2 dx (x-1)(x2 + x + 1)

A:

Q: ч.) -17x° - 4 x + 3) ·dx

A:

Q: [2 2x³ (x² − 1)² – dx|

A:

Q: (a) 2y -3 dx

A: Since you have posted multiple and lengthy questions in this question which are not interlinked so I…

Q: 1 dx Vx - 1|

A:

Q: x² dx x²-3x+2

A:

Q: 1 b. 4*(x³)dx -1

A:

Q: By using completing the square dx can be written as V4 + 2x + x2 dx 3 +(x+2)2 dx V4+(x+2)² dx 3 +…

A: Given, ∫x4+2x+x2dx  We have to write it again using completing the square.

Q: uate the integral. 9. (x2 + 2x – 5) dx 4.

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

Q: x+3 dx 1-x2

A: This problem can be solved using the concept of integration by substitution.

Q: 2x² + 3x + 3 (x + 1)³ - dx

A:

Q: dx V4 + x²

A:

Q: 4 ={(4x² -8) dx (4x² - 8) dx y = 1

A: Explanation and solutions is given below....

Q: dy = 2xV1 – y², 17. -1< y < dx

A: We have to find out solution

Q: |1 FIND : dx 2Vx +3

A: Given,

Q: 1) dx x²+3x-4

A:

Q: FindS( 3x* – 2x³ + 4x² – 5x + 2) dx -

A: Given; I=∫3x4-2x3+4x2-5x+2dx   As we know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule;…

Q: X+2 dx Vx2 +9

A:

Q: 21. Jo 0 dx (x + 1)(x² + 1)

A:

Q: 2x2 +x + 1 dx (x+1)(x2 + 1)

A:

Q: 3 dx (x2–1)2

A:

Q: dx 6) I = v9-

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: 2x2-3x+2 dx 1-) x-1)2(x-2)

A:

Q: dx 9-4 x2

A: Given I=∫dx9-4x2

Q: dv + 2x * v = x³ dx

A: We have to solve the following differential equation -  dvdx+2x·v = x3

Q: (x²+2) dx x+2

A:

Q: 6x 2 Evaluate -dx (x - 1)(x + 1)

A: Our Aim is to evaluate the integral given below:-∫6x-2(x-1)(x+1)dx -(i)

Q: 2x² +3 x(x - 1) dx

A: The objective is to find the integral ∫2x2+3xx-1 dx. Formula used:

Q: 3. [_x dx √2 +*

A:

Q: x² dx : 2 V4– x²

A: Proceed as shown below

Q: 2x + 5 4. -dx x2 + 16

A: Given: Let I=∫2x+5x2+16 dx To Find: To evaluate the given integral.

Q: (x-Gy +2) dx + 2(x+2y+2) dy -o

A: Given that     (x-6y+2)dx + 2(x+2y+2)dy=0

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

A: