(1) хdy — ydx — Vx? + у? dx (2) — Зу? — у? sin x dx (3) (x2 + 1)4 — у2 + 1 dy dx

Q: If x²y + 3y* = xtan(y) + 2x d²y Find the value of dx²"

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Q: 1-7ӕ + 3 | dx 4.

A: To evaluate the integral: ∫1-7x+x3xdx. Solution: Evaluating the integral.…

Q: 2-fx (sec²x)dx

A: Given:

Q: sin 3x dx 3-10cos3x 10.

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Q: 2х -3 -dx. Evaluate(x-2)(x² + 1)

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Q: 3—4х dx =? Vx2+6x+1

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Q: 1 √₁-² 1- Evaluate -dx (1 - 3x)²

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Evaluate dx x3 – 2x2 + x

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Q: 3) S cos(Inx) dx

A: according to guidelines we should able to do only one question at a time #3

Q: 1) Find 1 x² +4x+13 dx.

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Q: da d²y +6- dx dx² + 11 dx+6y = ex + cosx бу

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Q: A particular solution of y" + y =sinx + xcosx a. x?sinx - 2xcosx) 4 b. (x?sinx – xcosx) 4 c. (x?sinx…

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Q: 1 dx 2 21+2*2 ху

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Q: Stan 3x sec 3x dx 3.

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Q: (1-2х)2 dx 3.

A: Given :       ∫1 - 2x2x dx   To evaluate the given integral.

Q: dy - (1+x)у -ху? .2 1.) х- dx

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Q: x²dx 3 2 3 (5-x') 2.

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Q: х2 9 dy + sinx - у %3D0 dx

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Q: Determine an expression for expression for 3(y-2)³ − x² = 4x − 6. dx

A: Solving the problem by finding the value of the problem by finding the value of the derivative.

Q: e* - x e* et dx = 2x2 + constant 2 х

A: To show that∫ex-xex2x2dx=-ex2x+constant

Q: dy_2y-x+5 dx 2x- y-4

A: Find the solution of the ordinary differential equationdydx=2y-x+52x-y-4

Q: fx' Vr-1 dx

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Q: 2x 2) x +9

A: Given problem:- ∫042xx2+9dx

Q: iii) So z dx 1+x2

A: Given: ∫01 x1 +x23dx To Evaluate given integral Proof: We will evaluate the given integral by…

Q: Sel+x3/2 Vx dx ,1+3 X,

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