| (e-x + vx)dx 1. 2. x²)dx

Q: dy/dx of x + y + xỵ = 3

A:

Q: d) sin (x)e3*+ dx dx

A: The given integral is definite integral because limits are given.  So integration value will be a…

Q: Solve dy/ dx = x^2 + x for y(1) = 3.

A: Given that dy/dx = x2 + x, where y(1) = 3.

Q: d [ sin(x)cos(x) dx dx 1+x4

A: Find the integral

Q: 4 dx. x'V16-x (c) By using x= 4sin (0), find

A: We have to find integration by substitution

Q: integrate by parts f(x)=x2e2x dx

A: f(x)=x2e2x dx To integrate the given function by parts.

Q: Thank you :D

A:

Q: x dx 1) S*d 2) S x²cosx dx tanx dx 3) S In(secx)

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Q: e | Vĩ In x dx 1

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Q: Evaluate dy/dx at (-3,1) for x3+(7+xy)5/2=82/3+y2

A: Given:

Q: 18. S V1+x dx 1-х

A:

Q: 1 What is S dx? x²+2x+5

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Q: dx 1. S 2x-x² dy 2. if y = x* (In x)? . dx 3. Sx³e-* dx .

A: We have to find the integration and derivative as asked in the given question.

Q: Solve th D.E using Exact dx +(x² +3y* )dy

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Q: dy Find for 3(x2 + y²) ² = 100xy dx

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Q: Evaluate: e-y- [²" [m(x + y) - 7] dy dx In(x 0 x

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Q: 1. ſx² e*³ Sx² e**dx 2. cos'xsinxdx sin3xsin 2x dx 3.

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Q: d’y - 2 y = 5x' + In(x²). dx

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Q: (y5 – x²e») dx dy -11-3

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Q: Find dy/dx for f(x)=(Inx)x^2

A: Given:y=fx=lnxx2We need to find: dydx

Q: Find dy/dx of e*-e-x y = e*+e-*

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Q: x - 3 7. S V25- (x-2)2 dx 8. S tan5 (2) dy

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Q: Use integration by parts for both.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (b) Evaluate f 3æ“ In6x dx using integration by parts.

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Q: f cos 4x dx 2x dx S (x-2)²(x+2) x2 dx √4-x²

A:

Q: Find dy/dx by implicit differentiation. x3 − xy + y2 = 7

A: Given : x3 − xy + y2 = 7

Q: dy - 3x2 + 4 y = In ² x – In x dx dx

A:

Q: 15) 4S(5x)] = x² , then f'(x) = ? %3D dx

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Q: d 1+ tanhx - Show that dx V - tanh x

A: To show: ddx1+tanhx1-tanhx4=12ex2 Simplfiying 1+tanhx1-tanhx,…

Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: Integrate f dx using integration by parts. x+1

A: Please refer the attached image for complete solution.

Q: Find dy/dx by implicit differentiation. x3 + y6 = 60 dy/dx

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Q: 1. Integrate: dx x2+7x+6

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Q: By differentiating x² – y² = 1 implicitly, show that d²y | dx² ||

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Q: 1,- X73X+2 dx (x+リ) Izafhinx dx Ax. Iォfュース alx dx X43X+2 X+1

A: Since, you have posted multiple, we will solve only first part. If you want solution of other…

Q: Find dy/dx by implicit differentiation. 2) x3 - 2y2 = 1 4y B) x2 + 1 A) 4y C) 2y D) x2

A: solve the following

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. 2x-x2 if y = x° (In x)? . dx 3. S x³e-* dx . 2.

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

Q: (メ2メ+Sx )dx h- Cos3x dk 120 x3-XSinx+ CusX dx C. 130 x41 (2メーリdy

A: As per our policy, I can only provide you solution for first three parts, but part (c) is not clear…

Q: The integral X dx Vx2 – 4 3

A: To evaluate the given integral.∫12 xx2-43 dx

Q: dy Q2) Solve x – 2y = x³ cosec 2x dx

A: The above equation is a first order differential equation know as Leibin'z linear equation. The…

Q: dy い+ with dx y(-2) = 2 ニ - y x

A:

Q: Find dy by dx Y= 1-x² ÷2-x

A: Given that: y=1-x2÷2-x

Q: (b) Integrate x-³e-l/a², dx

A: Here we can find the answer as below.

Q: Solve dy 2-x -subjectto y(1) = 0 dx ху

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Q: dy when x=Ve is dx

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Q: (x+6)dx (x+2)?

A: To evaluate: ∫x+6(x+2)2dx

Q: Let f (x) = 2x* – 3x3 + 5x + 1. Find the value of df-1 at x = 1. dx

A: We have given function;