d 55. Vcosh x +1 (cosh x + 1)-/2 sinh x dx

Q: 9. t² cosh 3t 10. t³ sinh t

A: solution of the given problem is below using laplace transformation...

Q: d dx A.sinh(Inx) B.–sinh(Inx) sinh(Inx) C.- X -cosh(x) D. X cosh (Inx) =

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Q: (24) Evaluate the integral: | Va sin(1 + x/2)dx.

A:

Q: Evaluate dx dy in y=cosh(in e") b. 3x sinh (In x') 3x² sinh(In e* ) d. 3x sinh (3x² ) с. a. 3x…

A: Given:     y = cosh ( ln ex^3 )

Q: I = | In(ax + 1) dx, for a > 0

A: Find the integration of I

Q: 2dx J x (3(ln x)2 + 12 In x – 15)

A: The given integral can be evaluated using the factorization and substitution technique.

Q: Q5: Find for the following functions: dx (4) y = x sinh 2x-cosh 2x (3) y = e* sin² x In√x

A: See this solution in below

Q: (d) y = sin(Vx) sinh (In x)

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Q: Se* sin e*dx

A: We have to find integrating of given Questions

Q: L(cos(at)sinh(at))

A:

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: Solve dx dy for y= sec (In x) In (tan x)

A:

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

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

Q: dy 3. (a) If y=x'sinh (1/x)+ In(tanh 2x), find dx

A: Given function is y=x3sinh−11x+lntanh2x. We have to find the dydx. Used formula, ddxsinh−1x=1x2+1…

Q: L{sinh 6t– cosh t

A: we have to find the value of L{sinh(6t)-cosh(t)}

Q: 2*csch( 2*) d x cosh(2*)-sinh(2*)

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Q: e (sinh x dx + cosh x dy) = 0

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Q: 1 dx = sinh-1x /1+x²

A:

Q: dy 3. (a) If y=x'sinh '(1/x)+ In(tanh 2x), find dx

A: Given: y=x3sinh-11x+lntanh2x

Q: Q3: Let cosh(x)3D5, x>0 , Find values of: sinh(x), tanh(x).coth x ,sech x,csch x

A: Given, cosh(x)=5, x>0

Q: 2 sin x f(x) = 1+2cos x Pvaluated at x = 1 ran

A: Given: fx=2sinx1+2cosx

Q: 1. Calculate dy da for the following: (a) y ln(x + 2x³ - 6), =

A:

Q: Q1- Find dy / dx for the following functions : el -2 2.8ln2 Y= 4 * sinh 9x * Inxy sino 3 log2 2

A:

Q: Q5: Find for the following functions: (4) y = x sinh 2x cosh 2x (3) y = e* sin² x In√x

A: The given functions,3) y=exsin2xlnx4) y=xsinh2x-12cosh2x

Q: d cosh z =sinh x dz صواب ihi

A: Use the formula of coshz and sinhz in terms of exponents.

Q: Find the indefinite integral. S sinh (1 – 2x) dx

A:

Q: Q2]Using Simpsons1/3 rule for evaluation of sinh(e-*) dx use n = 4 andwork to 5 decimal place?

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Q: 6) S sech? (2x- 3) dx | ex-e-x 7) S ex+e-x 8) S(eax – e-ax) dx sinh x 9) S dx 1+cosh x 10) ſ csch? x…

A: Given

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

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

Q: 2. L{cosh 3t sin 3t}

A:

Q: 10. S V9x2 + 64 11. ( sech?(In x) 12. S cosh(5x – 7) dx

A: Given

Q: 8) S(eax - e-ax) dx 9) S; sinh x dx 1+cosh x

A: Answer to question number 8 and 9 are as below,

Q: 9. Find the value of 2sinhxcoshx O a. cosh (2x) O b. sinh(x) O c. sinh(2x) O d. sech (2x)

A: Given:        Value of 2sinhxcoshx     we know that                             coshx=ex+e-x2…

Q: d y' of y= In(tanh2

A:

Q: If f(x) = sinh 2x − e2, find the exact numerical value of f"(ln 2).

A: Given : f(x) = sinh 2x − e2

Q: Evaluate the integral. sinh 5a -dx +C. 5x

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

Q: Evaluate the integral.

A: ∫cosh2(x)sinh(x)dx

Q: 1. So dx 2. 3. x² (x+1)4 fxcos2xdx 4. TL TT TT Sễ sin²4ycos²2ydy sin*xcosxdx

A:

Q: 4. Evaluate if they exist: (a) sinh x dx (b) lim , sinh x dx r+00

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Q: 5. f (t) sinh 3t + cosh 3t – 2t³

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Q: 04: Find dy/dx for the following function:: (Choose only four) (1) y = sinh1(tanx) (2) y = 7esv2x+3…

A:

Q: sinh x – 1 dx cosh x

A: The given integral,        ∫sinhx-1coshxdx

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

A:

Q: Sind dy forys(x) dx 3517X

A: y=(xx)3sin x

Q: dy y(ln y – In a + 1) dx 1 C = -ln C = -In Option 4 O option 2 1 C =-In

A: This question is based on solution of differential equation.

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

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Q: 1- Cosh x dy + (y sinh x +e*) dx =0

A: