aluate lim 4 ln (3x – 8) and write x→3 2e2a-6 2 mplest form.

Q: Find the indefinite integral sec* 7x dx.

A: To find the indefinite integral of ∫sec47xdx

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A:

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A:

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A: Answer

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Q: > Evaluate the Antegral dx ax45x +2

A: Rewrite the given integrand as follows. 32x2+5x+2=32x+1x+2=22x+1-1x+2

Q: Evaluate the integral.

A:

Q: y = sech /2 + v2x + 1 + tanh v8x² + 3

A: To find the derivative of the function

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A:

Q: solve using reduction of order (D^2+1)y=tanx

A:

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A:

Q: A ( sinh x- coshx tanh e 6)

A: You all need to have the idea of hyperbolic and their basic calculus.

Q: Evalualte! dx cosX x+ メ+ 1

A: Given:

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A: We have given,

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A:

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A:

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Q: +4)° x = sinh4t

A:

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A: Given:

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Q: -e lim te Int - 1

A:

Q: 8. Find the Laplacian of Ø = xy²z³

A:

Q: The Smith's invest $10,000 in an account that grows to $12,000 in 5 years. What is the annual…

A: Consider the given smith invest $10,000 in an account that grows to $12000 in 5 years

Q: Use reduction formula to find (tanh" xdx 10

A:

Q: Find the ExPa enien in Po wers ofx of Sinhx Vx each the -1KX<I Ənd find the Valee of

A:

Q: solve using variation of parameters or reduction of order. (D2 + 1) y = tan x

A: Given (D2 + 1) y = tan x

Q: Find y' by ased proportici Ln Xャ3

A: Taking natural log both side

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A: you meant to find the arc length of y=ln(secx). the formula for the length of the arc in the given…

Q: Find the indefinite integral. ∫sec x/2 dx

A: Given ∫sec x/2 dx. We need to evaluate the above integral.

Q: Find dy for X=3sec-vE tan (2t) and

A:

Q: Find the exact length from 1 to 2: y=((1/4)x^2)-(1/2)ln(x)

A: Find the exact length from 1 to 2: y=((1/4)x^2)-(1/2)ln(x)

Q: * limt (x-sinx)\ x+1 10 log x^2+3 O 0.5

A:

Q: Evaluate ( Sech²(In x) dx

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A: We have given

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A: Evaluate the integral the given function Sinh is hyperbole function.

Q: Find the value of : sin3x lim x→0 2x

A: This question is based on Limits.

Q: Find the indefinite integral

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A: the given indefinite integral is: ∫sec4x dx we have to find the value of the given indefinite…

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A: We have to find indefinite intrgral  ∫x2sech2x3dx We have ∫x2sech2x3dx  Take x3=t⇒3x2dx=dt⇒x2dx=13dt…

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A:

Q: Q2): If sinh(x) =find tanh(4x). %3D

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Q: Find y't yu 4=In(sec 9x +tangx)

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Q: Find y' of y= In(tanh2x)

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A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

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A: Explained below

Q: Find the indefinite integral. sinh(2 – 9x) dx

A:

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A: Given,

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A: Given Data The integral is ꭍdx/sinhx+2coshx.   Using the Weierstrass substitution in the given…