tan (sinh x) ) ds (b) cosh a sinh x sinh

Q: 9. cosh x + sinh x= e* %3D

A:

Q: tan + x Anctan ly =0

A: The given differential equation is,

Q: 9. cosh x + sinh x = e* %3D

A: To Prove,                cosh x+sinh x=ex

Q: sinh x – cosh x + ecoth x dx - sinh?

A: see below the calculation below and final answer

Q: In( cosh(9x) - sinh(9x) ) - In( cosh(10x) + sinh(10x) ) = Select one:

A: Solution: The objective is to find the value of the given expression

Q: x + y x - y cosh Show that sinh x + sinh y = 2 sinh

A:

Q: | sin'x-cos'x dx

A:

Q: cosh z sinh dz (cosh z+3) 2.

A: To evaluate the given integral.

Q: sin x cos x dx x Cos

A: Given integral, ∫sinx cos2x dx

Q: dx sinh x - cosh x

A: To Evaluate: ∫dxsinhx-coshx Concept: i. ∫afxdx=a∫fxdxii. ∫exdx=ex+C

Q: sinh (iz) = i sinz sintiz) =isinh z,escia)= cosh: 2. !!

A: In this question, the concept of a trigonometric function is applied, Trigonometric Function The…

Q: (7) coshx + sinh x = e* %3D

A:

Q: sin 2x dx 1+ sin “ x SI

A:

Q: sin x + cos x dx V1 + sin 2x

A: Given {sin x +cos x   dx   [1+sin 2 x] We have to evaluate the given integral

Q: sin Inx 12. S dx x cos² In x

A: Given integration is ∫sinlnxxcos2lnxdx We solve the integral using proper substitution.

Q: 15. sinh 2x = 2 sinh x cosh x %3D

A:

Q: sinh?, sinh x + cosh x dx - cosh? 2

A: Evaluation of the integral

Q: sinh x + cosh x)ª= e4x

A:

Q: Prove the identity. cosh(x) + sinh(x) = e* cosh(x) + sinh(x)

A: The solution of the problem is given in the next step.

Q: cos(x + y) cosx siny = coty – tanx

A:

Q: sin(x) Evaluate dx. cos (x) – cos(x) – 2 |

A:

Q: a) y = In x · sinh x*

A:

Q: sin(In x) dx

A:

Q: sin-1 Vx 7. S Vx — х2 dx

A:

Q: (2) y = /sinh /tan x

A:

Q: sin x dx 1- sin2 x 4. cos x dx 2+3 sin x 5.

A:

Q: (sin x – 3 cos x)dx

A: i will use basic integration rule.

Q: Integration of sin^2 x?

A: Cos(2x) = 1 - 2Sin2(x)  Sin2(x)=1 - Cos(2x)2   Integration of cos(x) is Sin(x)

Q: sin' x Evaluate : dx (1+cos x) 1+ cos x+ cos* x 1+ cos x)1+ cos x+cos cos' x

A:

Q: [ sin'x- cos'x dx

A:

Q: sin x dy (2y Cosx + sin4 x) ax

A:

Q: sinhx Cosydx=coshx= Cosh x Cosy =C, c)r²ē

A:

Q: sin x.cos x 1+ 2.In x

A:

Q: dx sinh x + 2 cosh x

A:

Q: /12. É (sin *xcosx+ sin xcos.x) dx

A:

Q: ans 늘 sin ()+c 19 -4x² teinx dx I+ x2 dx ans: į sini'Ln'xte 3. sečxdx ensesin 3tanx 15-9tañx dx

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: • sin(2x)ln(sin²x+1) dx iv. (sin?x+1)

A:

Q: 2 *sinh“ x – sinh x+ cosh x dr -dx cosh¯ x

A:

Q: sin . sin . cos x d. cosz tan E tanz 214 14

A: Given that,

Q: valuate f sin³ 2x cos³ 2x dx.

A:

Q: cos x F(x) = sin-1 1+sin x. F(x) = In ln In x

A:

Q: (sin x + sinh x) dx 7.

A:

Q: sin (x) dx (2+3 cus(x))² 3(2+3 cos(x)) с

A:

Q: (1+siny)[1+sin(-y)]=cos2y

A: Given:

Q: Verify the identity sinh(x + y) = sinh x cosh y + cosh x sinh y

A:

Q: Prove the identity.  cosh x - sinh x = e -x

A: Consider the given identity of L.H.S as coshx-sinhx

Q: cosh 3 хр. 15) 1-sinh 3

A: Solution

Q: Prove the identity.   sinh(x+y) = sinh x cosh y + cosh x sinh y

A: To show that sinhx+y=sinhx coshy+coshx sinhy