L {t?cos t}.

Q: c) dx E (sin cos) dt

A: We find ddx ∫xπ/2   sint2   cost3 dt

Q: Evaluate: J x?cos(2x)dx

A:

Q: (T/6 V1 + cos 2x dx Jo

A:

Q: f(t) = e-2t t cos 3t

A:

Q: HW3 Find dCSe tsinht sint dt)

A: Laplace transferom of Integrals

Q: T/2 Evaluate I = | sin x dx using Euler-Maclaurin’s formula.

A:

Q: Evaluate : L[t cos h 6t]

A: To evaluate: Lt cosh 6t

Q: 4. Find d?y/dx² for the following functions: b) y = cos*(sec² 3x)

A:

Q: (b) dx cos(t) a

A:

Q: dt cos?(t) V5 + tan(t)

A:

Q: f cos4x dx

A: According to guidelines, we must answer only one of the multiple questions given.So I answered only…

Q: 5 sin?(t) cos“(t) dt

A: ∫0π5 sin2t cos4t  dt=5∫0πsin2t. cos2t .cos2t dt=5∫0π sin2t ×1sin2t cos2t dt=5∫0πcos2t…

Q: d. 3) [cos πx]4 %3D dx

A: 3) To find the derivative

Q: cos e de =. 0. От O -T O 3 O 6

A:

Q: ∫ t2 sin(t) dt

A: Explained below...

Q: f(t) = cos(4t + 5) + e-tu(t – 6) + tcosh²4t |

A:

Q: d 27. dx ], cos t dt

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

Q: e Cos xdx

A:

Q: f (t) = e3t sin(3t) – ťe*.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: dx I cos (x)

A:

Q: cos A where A = atjb

A:

Q: Differentiate.

A:

Q: f(t) = sin(37t), -1<t<1 %3D

A: Given function is: ft=sin3πt  ,   -1≤t≤1

Q: 2. f(t) =t cos 81 +2

A:

Q: y(1) = yo + A cos(@t + p)

A:

Q: V1+cos.x dx = ?

A:

Q: T/2 V1+cosx dx T/3

A:

Q: 元 |r' cos xdx

A: Solving the problem by finding the value of definite integral.   NOTE :: As per our Expert…

Q: t Cos(4t – 2019) 4.) f( 1)=

A: Given that: f(t)=tcos(4t-2019)

Q: f(t) = cos(2t + 3) + e¬tu(t – 4) + tcosh²2t

A:

Q: dy If = cos 2x, then what is y? dx

A: We will solve the problem

Q: t cos 412 dt

A: We have to solve this integration.  I am using substitution method.

Q: f' (t) = sin 9t - cos f(t) = O %3D

A: We have to find all possible functions with the given derivativef'(t)=sin9t-cost7

Q: T/2 sin d. t COS - dt dx

A:

Q: b) y = cos Vx

A:

Q: Calculate T, and M, for f dx. (Use decimal notation. Give your answers to five decimal places.)

A:

Q: (ii) Evaluate J dx. COS TI

A:

Q: L{sin(T – )µ(T –} 2 2

A:

Q: f zea I cos(2r) dr. (c)

A:

Q: Evaluate L{4e¬2t¢3 +t sin t cos t}

A: We need to find Laplace transformation.

Q: y = (cos 3x)vx

A:

Q: y = e* cos x²

A:

Q: L7t2 cos t 8(t)dt

A:

Q: L{4e¬2tt3 + t sin t cos t}

A:

Q: T/2 (cos(7x) + T) dx? 0.

A:

Q: 1. f(t) = sinh? t

A: Given

Q: L[e(sin 2t + t°)] = %3D

A: The solution is given as

Q: v(t) = cos(2t)

A:

Q: cos3.t dt

A:

Q: (i) f(t)= est+cos 4t

A: According to company's rules, I need to solve first question when multiple questions are posted...…