L{e-(sint + cosht}

Q: 1 3) ; dx sinh(x)-сosh(х)

A:

Q: 9. t² cosh 3t 10. t³ sinh t

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

Q: sinh2 (등)

A:

Q: tan(e-2x) In(cos(e-2*)) dx 5 S е 2х

A: We have to find out

Q: e sinh 2x dx

A: The given integral,       ∫e-xsinh(2x) dx

Q: 31. f(t) = arctan(sinh t)

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Q: 11. Find e*sinx dx

A:

Q: (d) Find sinh¬1 x dx.

A: Find ∫01sinh-1x dx

Q: Find e-t sin(v3t) 00 (a) (b) L-1 tan

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Q: find Dxy if y=e^(-2/x^2) Dxy=?

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Q: S sin (x) cos³ (x) dx

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Q: y" "yi g= coshox + sinhɔxi

A:

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*)

A:

Q: cos(48°) Use differential to approximate the value of

A: Cos 48° The nearest value to 48 whose cosine value can be taken is 45.Let us consider :x = 45° and…

Q: sinh5x S sinh*xcoshx dx is a)True b)False

A: This is true.

Q: c- S cos(Inx).dx

A:

Q: S cos 4x cos 3x dx

A: We need to evaluate integral.

Q: sin(20nnt) AS(t)ln:odd = Ln=1 %3D

A: The Given problem is:…

Q: e3 sin(5x) dx %3D

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Q: 6) Using gamma function, evaluate So 6 хе 2x dx

A: Introduction: Gamma function is an integral function that is defined through an integration. The…

Q: y = ln° '(n*))) (tanh²(sec

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Q: 1 dx 6- cos²xsin²x

A: use trigonometric identity to prove the integral

Q: e sin(x²)dx <e-1. Jo Show that

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Q: | e3* sin(2x)dx

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Q: 1. dx Evaluate 0, et +e-*

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Q: Find Lnz when z = 0.6 + 0.8i

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Q: . S sin(x²) dx

A: Given integral: ∫01sinx2dx We know that 2sin2θ=1-cos2θ So, we have ∫011-cos2x2dx12∫011-cos2xdx

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

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

Q: -1 Cosh-1 5x sinh 4x.

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Q: L{e-4t cosh 2t} L{e=t (3 sinh 2t – 5 cosh 2t)} -

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

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Q: /x[cosh?(2x²) – sinh²(2x²) ]dx is equal to

A: solution :let…

Q: e2x sin(5x) dx

A: Given,  ∫e2x sin(5x) dx

Q: 8. Sedr cos 2x dx

A: Integration of e3x cos2x

Q: 33. — Зх e - 3x sin 5x dx

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

Q: 1. L(sin(3x) e**)

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

Q: ecot ha dx sinh x cosh x + e sinh2 x

A: In this question, we need to evaluate the given integral.

Q: ∫cos^4 2x dx

A: Please see the answer in step 2

Q: S tan-1(bx) dx

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Q: S cos³ 3x dx

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Q: 24 dx 1- cos (6x)

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Q: – (x²- 1) dx using P (1 -;*)-^;* / * m in terms of A?

A: Use simple integration formula.

Q: 33. h(x) = sinh(x²) %3D

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Q: S cos 8x dx

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

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Q: dx 9. 2- cos X

A: To evaluate :

Q: S tan-Vx dx =

A: Using substitution and formula of integration by part.

Q: Calculate the exact value of the intergral ∫ln(x)dx where b = 3 and a = 1

A:

Q: vở tan v4 -dv 5+3 ln cos vt

A: