3. dx (sinh(2xV1+x du

Q: 10) y = xtanx + sin-ly

A: according to guidelines we should able to do only one question at a time #10

Q: ЗсoshЗx dx| 4 + sinh3x 1/3

A: Given: 13∫3cosh3x4+sinh3xdx

Q: -sinh(x) at x = 0 is dx21 Answer:

A: Derivative of the function

Q: S" S"(sinx + cosy) dx dy

A: our objective is to evaluate the integration

Q: 2x2sinh(x3)cosh?(x3) Option 3 O :The dy/dx for the y(x) = sinh?(x3) cosh ²(3x²) Option 1 O 6x2…

A: Solve for the given

Q: Integrate O sinh 2x dx

A:

Q: Evaluate the integral.

A:

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

A:

Q: (A) Ln(2) S Sinh(x) Cosh² (x) dx

A:

Q: Find the indefinite integral. ∫ sinh x/(1 + sinh2 x) dx

A:

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

A:

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

A:

Q: 1. S sinh ) dx 2. S sech? (x - ) dx 3. [6 cosh (- Inx )-) dx

A: Since you have posted multiple subparts question in this question so I have solved first question as…

Q: 200 J + Corxiy_Tanx sinx dy

A:

Q: Find if y = e* In(sinh x) dx

A:

Q: Find dy if y = tanh-1(5x²) csch¬'(In x). dx

A: Given: y=tanh-1(5x2)csch-1(lnx)To find:dydx=

Q: integral of cos 2x e sin 2x dx?

A: An indefinite integral, also known as antiderivative, is a function F(x)=∫f(x)dx such that…

Q: find dy/dx (sin2x)x

A: Explanation of the answer is as follows

Q: y= sinh(2n)-글교 dy/dx gi

A: Derivative of sinx is cosx.

Q: Use the composite trapezoidal rule with the step length h = 0.1 to evaluate sin x -dx, in six…

A:

Q: Show that d /dx  arctan ( tanh x ) = sech 2x

A: We have to show that ddx(tan-1tanhx)=sech2x

Q: Find ∫cosh 2x sinh2 2x dx.

A: To find the value of the integral∫cosh2xsinh22xdx

Q: find dy / dx for Hhe tellowing in (sec EX) In (cosp?}

A:

Q: Find dy/dx by implicit differentiation: sinx=x(1+tany)

A: We have to find the dydx of the function by implicit differentiation.

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

A: Given The function is f(x)=cosh x +1 .

Q: Find the indefinite integral ∫sinh(1 − 2x) dx

A:

Q: Find by implicit differentiation. dx 4 + 8x = sin(xy') dy Answer: dx

A: see below the calculation and steps below

Q: Find , if y = x sinh x - cosh x %3D dx

A:

Q: S sin* 2x dx 4

A: The complex form of integral can be converted to simple integral…

Q: In integrating the function fx cos(3x) dx using integration by parts, what would be your du? du = x…

A:

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

A:

Q: 2. Jx sinh x2 dx

A: ∫x sinh x2 dx

Q: Find cosh æ In(sinh x)dx.

A:

Q: (3 sin y – 5x)dx + 2x² cot ydy = 0

A: Given the differential equation:       (3sin y-5x)dx+2x2cot y dy=0 Solve using substitution method.

Q: Find:  ∫cosh^4 (x) sinh^5 (x) dx.

A:

Q: (a) Find thne derivative. y = In(4x – 6) – 3 In(x) dy dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: lel sin(mx) sin(nx)dx=0 (a)

A: Since you have asked multiple questions in a single request so we will be answering only first…

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

A: Given

Q: dy Find by implicit differentiation dx 4 + 5x = sin(xy*) dy dx II

A:

Q: show that d/dx arctan (tanhx) = sech (2x)

A: On differentiation, we get

Q: Find dy/dx by implicit differentiation. 4+6x=sin(xy^2) + y

A: Answer and explanation is given below..

Q: dy Find by implicit differentiation. dx 14 In x= 18 - In y dy dx (Type an exact answer.)

A: Consider the given expression 14ln x=18-ln y.

Q: 7)(x+tan y) dy sin 2y dx

A:

Q: 1. [cosh(x)] = sinh(x) dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: calculate the integral.

A: Given integral is We will use the following substitution to evaluate the integral

Q: Integrate f sinh 2x dx

A: In this question we have to find Integration.

Q: find dy / dx for Hhe follo wing 2X y=3+ ln (sin x?)+In (sin 5x)

A:

Q: Sind dy forys(x) dx 3517X

A: y=(xx)3sin x

Q: 4) [ sinh 2xdx 5) [ e* sin e"dx 6) fcosh'vdv

A: Given:  4) ∫0π2 sinh(2x)dx5) ∫ln(π)2exsinexdx6) ∫cosh2vdv

Q: Se Sin (3x) dx by Improper htegrations.

A: use improper integral