(3z² + 1) dx (2 + 2x + 1)²

Q: 17x-6 - dx x² -x² - 6x 2.

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Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

A: Given integral is Apply partial fractions to break the denominator

Q: 6. (4x-6y- 1) dx + (3y – 2x – 2) dy = 0.

A:

Q: 1 5earctan(y) dy -1//3 1+ y2 3 1+ у2

A:

Q: Find 3 3x3 3 2Va ) dx - x5

A: here we have to find the integration of given function. the solution is following.

Q: 1. Solve x² - 2x- 2 d²y dx 2 dy 4y = x² + 2logx.

A:

Q: Find dy/dx 4y2= 3x-2/3x+2

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Q: Find 1 SC + sec²6x + 9)dx: e3x None -3x tanbx + 9 x + c 6 -3 -3x tan3x + 9 x + c 6 -3 e-3x tanbx +9…

A: We can solve the given integral .

Q: 2 sec2( sec-1x)dx xVx² -1 3. 3.

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

Q: 5 ,2 X |x² + x – 6| dx -5

A:

Q: -3/2 1/2V2 dx 2 dx 5. 6. V9 - x VI - 4x

A: Integration of the functions and substitution of the limits helps to find the solution of the…

Q: dx J-2 (5-4x-x²)/2

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Q: •0.6 x² -dx V9 – 25x2 0,

A: …

Q: 2x - 3 е 2 -dx,

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: 3. fx²(9-x³)5 dx 4. J√4x-1 dx

A:

Q: 3/2 (-2x + 4) dx J1/2 | 16.

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: -4x2 + 21x + 10 - dx = J C x3 + 10x2 x + 10

A: To find the value of A,B,C can be found by comparing by the decomposed fraction which gives…

Q: | -8x*dx – 4x -³ + 8x¯°) dæ - 2e*dx

A: Disclaimer: Since you have asked multiple questions, we will solve first question for you. If you…

Q: (2x + Зу — 5)dx + (3x — у — 2)dy 3D0

A: Given the differential equation(2x+3y−5)dx+(3x−y−2)dy=0

Q: 8. f sec² (3x - 1) dx

A:

Q: V2x-x2 SS2*-*" (x² + y²) dydx

A: Changing cartesian to polar coordinates: x2+y2=r2x=rcos θy= rsin θ x ranges from 0 to 2y ranges from…

Q: 3-4x-10 x²-x-6 dx.

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

Q: 2. x°ー×- 8x ー1 dx x²-3X -4 2

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: 3r² + 10x + 7) In (z²+3) dz

A: I am attaching image so that you understand each and every step.

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: (5x-3x²+7x-3 dx (x²+1)²

A: Given,          ∫5x3-3x2+7x-3x2+12dx

Q: 23-4x-8 Integrate: 2E+4) dx 1)(r²+4)

A:

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. (2x2 + 2)dy + xydx = 0

A: (2x2 + 2)dy + xydx = 0

Q: 3- f xvx2 +1 dx

A: Integration

Q: V9-x2 2+3x dy dx

A:

Q: 4x2-5х+6, 3. S(*-*+*)d *“)dx x2

A: We have two types of integrals in general, namely definite and indefinite integrals . The definite…

Q: d³y of y = (3x*-5)(2x³+9x-6) Determine the %3D dx3 7x5

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Q: 3. -2x-4 dx x-3 6x 4. (x2-7):/

A: (3).   The given integral is: ∫x3-2x2-4x-3dx

Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

Q: 6) qyo -x² +2x + S%y +62=0 sty

A: 6)

Q: TIon 3 By using completing the square, dx can be rewritten as Vx²-4x -7 1 dx V(r-2):-3 1 dx OB. J V…

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Q: x-2 x² - 4x-9 -dx

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Q: 3z (sec-(-3z?))³ 2|–3z*|-/9zª–1 If y= sec-1 (-3x²), then dy dz

A:

Q: 2x-3y+6)dx-(4x-6y+2)dy=0

A: Given that: (2x-3y+6)dx-(4x-6y+2)dy=0

Q: Find for 7x3 + 4y = 3y² dx

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

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Q: (х+2у -1) dx - (2x+4 у-3) dy%3D0

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Q: sec x =dx Vtan x 3 8. 4

A:

Q: (6x²-y+3) dx +(3y²-x-2) dy

A:

Q: 3. 1 S [(2x - 4y)dydx 31 1 -1

A:

Q: -5x dx А. 3 V2x2 – 1

A: Since you have asked multiple questions in single request.so we will answering only first question.