sinh (e-*) dx e* cosh(e¯*)

Q: sinh-1 x dx

A:

Q: sinh x 1+ cosh x

A: sinh x1+cosh x

Q: -X -dx

A: We know, ∫uv dx = u∫v dx - ∫ddx(u)·∫v dx dx           (integration by parts) ∫1a2-x2 dx = sin-1xa +…

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

A: see below the calculation below and final answer

Q: (Integral sign) tan^4 x sec^6 x dx

A:

Q: If tanx=sinha prove that a=ln(secx+tanx

A:

Q: ∫sin(8x)sin(x)dx

A: Solution:- =∫sin8xsinxdx Applying the Product-to-sum formulas,   sinxsiny=12[cosx-y-cosx+y]…

Q: 1 dx 1-sinx

A: We will find the integral as following.

Q: Evaluate

A:

Q: Integral sign:  cos(lnx) dx

A: According to the given information it is required to calculate the value of the integral:

Q: tanx 2. 2- (1+Sinx) 3- Ln 4ニ52

A: As per our guidelines ,we can only solve first 3 sub-parts , please repost other question that needs…

Q: Sinh(2×lnx)

A:

Q: 2)/ sinh cax )x

A:

Q: Calulate thi ntegrul 17 3-49

A:

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

A:

Q: limit Sin @2@) 0so ton Cs0)

A: solution

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: sin(2n) 1+/n In %3D

A: Write in product of two sequences

Q: Integration of b/1-sinbx dx

A:

Q: integral Scos 4 (3x) Sin (3x) dx Evaluate the

A:

Q: Topic: Integral of Hyperbolic Function ∫(sinh(x) + cosh (x))^2

A: Given- ∫sinhx+coshx2dx To find- The value of the integral. Identity Used- The above integral can be…

Q: 1+ tanx log prove that = sec2x dx y 1- tanx

A: Giveny=log1+tanx1-tanx

Q: integral sin5xcos2x dx

A: ∫sin5x cos2x dx On simplification, we get ∫sin5x cos2x dx=∫sin4x·sinx cos2x dx=∫sin2x2·sinx cos2x…

Q: QUESTIO Evaluate *sinh…lrdr.

A: We have to evaluate  ∫x2sinh-1xdx Let use product rule i.e. ∫fgdx=f∫gdx-∫f'∫gdxdx

Q: (5) sinh 2x = 2.sinh x.coshx %3D

A: (5)To prove the following identity sinh(2x) = 2·sinh(x)·cosh(x)

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: Intergal of (sinh x) / (cosh x + 6) dx

A: To find  Integration of (sinh x) / (cosh x + 6) dx

Q: arctan le)

A: We have

Q: ∫ cos (ln(x)) dx

A: Given-∫cos(ln(x))dx =∫xcos(ln x).1xdxLet u =x      and      dv= cos( ln x )1xdx  So,du=dx      and…

Q: y = Arctan (sinh x)

A: dydx=ddx(arctan(sinh x))

Q: integration of cos3x/3 dx

A:

Q: sinh(ln x) dx

A: Given data:     The given integral is: . Assume ln x =t and differentiate it with respect to x.…

Q: sin" x Evaluate | log- -dx , 20 sin" x + cos"x 20

A:

Q: sinh- x = In 2.

A:

Q: What is differential calculus

A: Differential calculus is a branch of mathematics that deals with rate of change of quantities.

Q: INTEGRATION OF 1/1+TANX

A:

Q: lim Sie sien dx=

A:

Q: dx xVa² -x²

A: Given that integral. :  dx/[x(√a2 -x2)]. We find solution of this integration by using general…

Q: sinh-1 x dx.

A: We can find the answer as below

Q: Y= Gas"(Sin-(tan

A: Given that: y=cos-1(sin-1(tan-1(csc-1x)))

Q: sinh x – cosh x + ecothx dx - sinh2x

A: Let's find.

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

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

Q: sin³ydy 1+cosy

A:

Q: 2. v = e-sinx

A: Given

Q: acrsin x:! csc-1 x: arccos x: sec-1 arctan x: cot-lx: : [0, T] :: [0, 플] : (- 1 : (0, 27] :: [-플, 이…

A:

Q: التاريخ Sinho SechG)

A: Answer and explanation is given below...

Q: integral sin -1 x dx

A: Given Data The integral is ꭍsin-1xdx.   Let,