- 3人 dy dx + 34= 3Xe %3D the く.Juc

Q: 15 dx +C + x2

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Q: y? If dy 1 then find the value of at the point (-3, 2) 62 dx 62 2a? -362 2a? 362 2a? 3a? 262 +

A: Given that, x2a2+y2b2=1 We need to find the value of dydx at the point (-3,2)

Q: -5 dx Evaluate 2x 10 A B c) 1 (D) 2

A: formula:

Q: my- (4x5 + 9) 3 find dy dx

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Q: By using completing the square / dx can be written a V4 + 2x + x² dx 3 + (r+2)? dr 5+ (r+1)² dx V3 +…

A: Given that: ∫x4+2x+x2dx

Q: dx 6. J 22- 3x+ 5

A: First question is solved.And its solution is given.

Q: 2r +a*dx. 2.

A: Simpson's rule  ∫abfxdx=h3y0+yn+4y1+y3+--+2y2+y4+-- h=b-an, where nis multiple of 2. x1=x+h

Q: dx What is the value of 1 3 3 1 4.

A: We have to find the value of  ∫1+∞dxx2x.

Q: ex dx= (4+ e*) (4+2e*)

A: We have to find the integration of given function

Q: dx (2 + e*)?

A: Given,           ∫ex2+ex2dx

Q: terms of the variable. dx 140 (1+x² )?

A: Given problem:-

Q: Question d²y Find if-x2 + 3y² = 4. dx2 Provide your answer below:

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Q: 1 -dx ? x2 – 16 Which of the following is equivalent to |

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Q: dy Find the general solution of 2x² = a? + y? dx %3D

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Q: ex dx 8. 1+ e2x

A: Given; I=∫ex1+e2xdx   ...1   As we know that; ∫11+x2dx=tan-1x+C

Q: *+ ye*) dx - хе* dy%3D0%;B у(1)%3D0

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Q: 3) dx %3D e(9+xV

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Q: rL rwax=10 and [, rw)dx= 3, then 14 - x)dx =? If

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Q: 8 dx, x2 – 9 - 9

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Q: dy - 7 dr fip + 12y = 3x2e4x. dx?

A: Solutions

Q: 5x -dx (? + 1)(3r – 2) |

A: The integral is                           We have to evaluate the value of this integral.

Q: (i) o In4 e-2x+1 dx r2 (2 ..2.-3x du

A: As per guideline we have to solve one question

Q: le + 2*]dx - 2*r]dr 3.

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Q: (eJ ·csc y csc²x) dx = 0 ||

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Q: dx= + C.

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Q: x2 dx 00 (x2+a²)(x2+b?) %3D b-a á 0

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Q: Solve the diff eq (ху?+x-2у+3)dx +(x?у — 2х - 2у)dy %3D0

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Q: d?y x = 3(u – 2)? ; y = 9u? + 4 dx?

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Q: S (3x + a)dx = 8 , then a =

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Q: 4. dx = Inlx -e* +C %3D 5. S 2+3*dx = 4 6. Inlxl + C

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Q: Sx°e*dx =(_)-e* + c,

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Q: G + Kxy- 2x)dx + (3xy? +20x²y³)dy = 0

A: A differential equation (DE) of the form M(x,y) dx + N(x,y) dy = 0 is Exact iff ∂M∂y=∂N∂x Solution…

Q: d y Find dx? |(-1,2) if x² + y' = 9

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Q: s(D-) dx = Inlxl _6. + C 3 3x. 2 In 3

A: Since the student has posted multiple questions and has mentioned to solve question numbers 6-10,…

Q: Sx²e* dx = %3D

A: Answer

Q: S- dx (49 + x²) ²

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Q: 1 By using completing the square, dx can be rewritten as Vx-4x-7 1 OA. V(r-2)2-3 1 dx Vr-2)2-11 OB.…

A: We have to rewrite the given integral using completing the square method

Q: r8 17 - By?) dx dy

A: While integrating with respect to one variable , take other variable as constant.

Q: (3x2 + бху?) dx + (бх?у + 4у) dy %3D0

A: Given differential equations is an exact equation

Q: - 2 dx3 + 2 d?y dx? d x4 2 dy

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Q: dp. Find the value of dx (4,4)

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Q: rtan can-(cotx), dy dx: 10n a. 44 b. 157 44 20n с. 44 2. d.

A: As per our guidelines we need to solve only one question. Please, repost the reamaining questions as…

Q: |2xe* dx = a. -1 b. 1 С. C. O d. 1

A: To find  I = ∫0∞2xe-x2dx

Q: x-3 5. ; dx х2-6х-5 B.미x?-6x-5| + c cm +C D. 2 In tar 2 In + C

A:

Q: et dx 3 (9 + e2ª)ž

A: Solution: ∫ex9+e2x32dx Apply u substitution: u=ex dudx=ex⇒du=exdx⇒dx=1exdu

Q: dy 3. dx + y = 2xy²e™

A:

Q: 1 By using completing the square, dx can be rewritten as Vx?-4x -7 1 dx V(r- 2)² – 3 1 V(r- 2)² – 11…

A: x2-4x-7 = (x-2)2-11