Integrate the following expression. + 4) °( 4x dx) + 4)° (4x°dx) =[

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A: Given,  sech e2y+cosh e2x=ln xy

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A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: 6. (x +3y - 4) dx + (x+ 4y- 5 ) dy = 0 %3D

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A: Given that

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Q: Rewrite the following equation with the variables separated: y' = dy cos y = (3x + 5) dx dy = cos y…

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Q: Which of the following is equal to (2° – 7æ)*dx = (x6 -

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Q: 5. dy + ye*dx = e*dx %3D

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Q: 4 ry sin (x? + y*)dxdy Find

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Q: Solve the following 1st order ODE. x² (3x+-)dx+(²- +32)dy=0 y 6. у

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Q: d) Evaluate sech? (2x) e'anh(2x) dx by using a suitable substitution.

A: Given, I=∫sech22x etanh2x dx To evaluate I using suitable substitution.

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

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Q: Silve the followry DE. 1. Gidy - y(27'4x)dx

A: According to our answering guidelines we can only answer one question at a  time, rest you can…

Q: Integrate the following: x4 -dx 5 (4xº + 9) “

A: Given Data: Integrand: ∫x44x5+95dx One important rule of integration is, ∫fxnf'xdx=fxn+1n+1+C…

Q: Evaluate by any applicable method. Si VV¤ – 1 dx - 15 32 None of the choices. Please refer to my…

A: Topic:- integration

Q: -8x +5)dx

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

Q: Evaluate - dx x(x2-4) 2 Select one: 3 2 6( + arcsec) + c а. - 22 O b. + arcsec) +c 32 64 ( O d. c. +…

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Q: Which of the following is equal to / (2° – 72)*dx = ,

A: follow next step

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Q: 16) da 1 y: Cos JE t 3.

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A: Solve the integration by substitution method.

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Q: (xy + 1)dx + x(x + 4y – 2)dy = 0 %3D

A: Given (xy+1)dx+x(x+4y-2)dy=0 Let the integrating factor be xαyβ Multiply both sides by xαyβ , we get…

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A: We have to solve this integration

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A: Given,          y=sinxx+2x+π

Q: Rewrite (6x + 9) cos (x + 3x) dx using substitution of variables. o /3 cos udu o / 2 cos udu o / cos…

A: The given integral is: I=∫6x+9cosx2+3x dx

Q: Q1 Evaluate 1, where: -So I = -3x cos 2x dx

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Q: cos x dx 1 - cos? x d)

A: We have to find the antiderivative if the given part d.

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Q: Differentiate the following. 4. 11 y cosec (sec x') 43 tranh2x

A: We need to differentiate the above two expressions with respect to x.

Q: Evaluate: Jx?cos(2x)dx

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Q: 3 y = sin?x? ; find dy 13D Xp

A: We will use simple differentiation rules to solve this question.

Q: Find for the following function. 2- cosx y = 6+ cosx dx

A: detailed solution is given below

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Q: Simplify the following expression. 1 + 4 dt dx .3 +4 dt = dx

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Q: Which of the following is equal to – 7æ)*dx = . %3D

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Q: dy - 2x + 5 y --(1) dx 2x+ y

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Q: Solve the following differenti- d'y 3. +2y=e"; dx dx

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Q: -1/2 1 b) -dx (1+4x²)[tan" (2x)}

A: We apply substitution method of integration