1- Y= sin( coshx log2 2 ) 2-Y= sinx.coshx. log2 2 3 - y = In Vx. sin x

Q: 7x+2 If h(x) = ln| find h' (x). 3 x 2 sin x

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Q: sinh³ (x) cosh (x) dx =

A: we have to evaluate the integral ∫sinh3x cosh8xdx use the formulas,…

Q: Solve 2 sin (x) + sin(x) – 1 = 0 for x E [0, 27] -

A: The given equation is solved below.

Q: 1. -5 cosh x 2+3sinh x dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1 cos(sec-x) dx 2/V3 xVx²-1

A: Let's find.

Q: f(x) = ln(cos3(2x+1)5)     f'(x) = ?

A: Given that f(x) = ln(cos3(2x+1)5)

Q: 5. 12 sec² (3x) dx 0.

A: We have to solve

Q: Is it possible to solve all the points with Finding Domain and Range 1) y sin x 2) y = cos x J= tan…

A: Solution is given below

Q: 4(sinh 5. Evaluate 6 x) dx V1+x?

A: We use the well known formula for sinh^-1(x) = ln(x + sqrt(x^2+1)) and then integrate the…

Q: dx sech x (3 +5 sinh x)

A: Please see the explanation below.

Q: 1- Y= sin( coshx log, 2 )

A: Given: 1-y=sincoshx log22

Q: Find the derivative and show your complete solution of the following 1. cos(e ^ (2x) + e ^ (- 2x))…

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Q: A. Differentiate and simplify the result. 1. y = V4x + 3 log2(x² + 2) 2. y = 3vx2-3x+1 3. y =…

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Q: Differentiate  f(x)  = log 10  ( 2+ sinx )

A: Rewrite the given function as shown below: fx=log102+sinxfx=ln2+sinxln10        since logab=lnblna

Q: 1- x Vx2 + 9 dx. 1 2-5 dx 1+ sinx 3- sin'x cos'x dx

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Q: Find the first derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and y = ( ex – e –x ) / (ex…

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Q: 2- Solve the equation for x : Cosh x = Sinh x +1/2.

A: We need to find out the value of x. The given equation is Cosh x=Sinh x+12 Now,  Cosh x=ex+e-x2  and…

Q: 2x+5 dx = AV7- 6x - x2 + B sin - (**)- 1. Vア-6xーx2 +C

A: ∫2x+57-6x-x2

Q: 1. [e-2x sin 2x dx

A: As per the instruction, we will be answering only the first one. For (1),      ∫…

Q: 4 fcos 3x sin³ 3x dx

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Q: logtan nx(2+ 4 cos nx) 2

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Q: 3+ cos(log, x) xp- x sin?(log, x)

A: Given I=∫3+cos(log4x)x sin2(log4x)dx Let assume log4x=t ⇒1x ln 4dx=dt⇒dxx=ln 4 dt

Q: d Find of tollowing functions. faa)= sin" (3%) "(3*) + loga (3²+2X-4)

A: Given: f(x)=sin-13x+log232+2x-4 we have to find the derivative of the given function. Use The Chain…

Q: 3- Find dy/dx for y = log2(1- sin (3x2) %3D

A:

Q: 9. Solve tan x for x where 0<x<90* V3 Enter your next step here

A: Just observe that its value of tan(30°).

Q: Solve for x in the interval 0 < x < 2n. log (sin (x)) – log (cos (x)) = 0 a) x = 5,

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Q: Find DO NOT SIMPLIFY YOUR ANSWERS. dx 1. log 1093/1 √√√2x² 2x² + y) + tan(x² − ñ³) = sin¯¹(x² − 1) +…

A: Given expression log32x23+y+tanxπ-πy=sin-1x2-1+π2. The objective is to find dydx. The chain rule of…

Q: 1) | xe3*dx хе 2) | x2 sin x dx 3) x sin 2x dx

A: Since you have posted a question with multiple sub-parts, according to company guidelines we will…

Q: 8e cos 2x dx csc(x) sec(x)

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Q: Integral of e^(4x)sin(4x) dx

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Q: Find dx 1- y = log (Sin x )- Cot - Vx 3 2. y = log( vx) = tan(x - y) 3- x Sec -x = y? log (sec x) 4-…

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

Q: 6. Find [sinh(4x)sin(2x)dx

A: By using integration by part.

Q: 4:    Y = sin-1 2x 5:    Y = sinh-14x

A:

Q: Step 2 Solve the new integral using the General Log Rule. Then, back-substitute x into the equation.…

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Q: 1. f(X)= xpi - pi(x) + pi/x + pix - cos (pi)

A: Given, fx=xπ-πx+πx+πx-cosπ We know that dxndx=nxn-1daxdx=axlnx

Q: If f(x)-logCos4x + sinx.Then find 9 (x) JP at x= sec 2c dx 6.

A: Given function is: f(x)=logsec2x|cos4x|+|sinx| To find the value of 9df(x)dx at x=-π6

Q: [(csc 2x log tan x) + (sin 3x cos 3x)]dx

A: Given  The integration is ∫-π6π4csc(2xlog(tan x) +(sin 3x cos 3x)  dx

Q: Find the first derivative of  y = cos4 x – sin4 x y = x3   –  x2 cos x  +  2x sin x  + 2 cos x y…

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

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Q: 3. Use Log Rule to integrate. J6x-5 dx a. 6х-5 b. S- 1 dx x Inx

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Q: Solve sin 2x – dx x° +x* – x² +2 8

A: According to the given information, it is required to solve the given integral.

Q: Evaluate 不12 Sin^ x dx = 「ズ「() 2 2r/2+2 n > -1 (Gamma function).

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Q: tan (log x) 2 dx 2 x(1+log*x)

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Q: calculate the integral.

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Q: 1? sec?( sec-x)dx x/x2 -1 3

A: By using substitution we can the given integral

Q: if 2 tanh x.In x = sinh' (sin x)+logcos dx dy Q5/ Find

A: To differentiate the given function.

Q: 3. C = cosh-1{sin¬1[tan log (3 – j8)]}

A:

Q: Evaluate ax xm-1 sin bx dx in terms of Gamma function. -ax

A: We use the special results of Gamma function to solve this problem as in next step.

Q: (tan (3x)] = %3D dx A) 5 tan (3x) sec2 (3x). B) 15 tan (3x) sec2 (3x). c) 15 tan (3x) sec(3x). D) 5…

A: We have to find the derivative

Q: To evaluate the integral cotx log(sinx) dx we use the substitution O a. sinx=t O b. logx=t O c.…

A: