inverse Laplace transform L^1{1/s^3}

Q: Determine (x + 1) dx.

A: topic - definite integration

Q: Fourier series

A: We want to approximate a periodic function f(t), with fundamental period T, with the Fourier Series:…

Q: Secant method

A:

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

A:

Q: Fourier cosine transform of e^-2x + 4e^-3x

A: Solution: Definition The function Fcs is defined by Fcs=∫0∞fx·cossxdx is called Fourier cosine…

Q: Find the fourier transform of x*arctan(x) x*tan^-1(x)

A: Solution of the problem as follows

Q: What integration technique can be used to integrate: sec3 xdx Integration Formulas O Trigonometric…

A:

Q: Integration by parts is based on what differentiation rule? Explain.

A:

Q: e Transform of f(t) = sin²t By Rule.

A:

Q: sinat dt 2.1. Use Laplace transforms theory to compute

A:

Q: Integration factor of the differe ntial

A: The given differential equation: xdy-ydx=x2y3dx It can be written as dydx-yx=xy3  (i)  (First order…

Q: | cosh(In z) dr

A: Given:  Let I=∫1e coshln x dx To Find: To evaluate the given integral.

Q: Integration by parts is based on what differentiation rule? Explain.

A:

Q: How can substitutions in single definite integrals be viewed as transformations of regions? What is…

A:

Q: = cosx (sinx). 2. Find the Fourier series on -≤x≤π for f(x) =

A: Given the function fx=cosxsin2x, -π≤x≤π

Q: integral using ir

A:

Q: Fourier series f(x)= x sinx 2 xe (7)

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

Q: te Fourier transfor 33 43

A:

Q: LAPLACE TRANSFORM OF INTEGRALS

A:

Q: Fourier Integral Get a representation of the Fourier integral a)                f(x){…

A:

Q: the order of integration sketch, reverse evaluate then Ing

A:

Q: ntegral of (cosec^3(x))..full steps pls :)

A: To find ∫csc3x dxFormuladdx(csc x)=-csc x cotxddx(cotx)=-cosec2x∫csc…

Q: Change the order of integration...

A: Explanation of the solution is given below.....

Q: ntegral of arcsin((1/2)x)

A: Given: ∫sin-1x2dx

Q: Area under a curve

A: Let us consider the equation of curve be y = f(x).Let us consider two data points x = a and x = b,…

Q: Area under the curve y = 4 - x2  from x=-3 to x=3

A: Please see the answer bellow.

Q: Fourier transform

A: This question is related to fourier transform, We will solve it using given information.

Q: sine 2. Determine whether the improper integral -d0 converge or diverge. V1-2 cose Hence evaluate…

A:

Q: Direction: Determine the Inverse Laplace Transform of the functions using the Laplace of Integrals…

A:

Q: Partial fractions expansion is only optional in solving ODE using the laplace transform. True or…

A: Partial fraction expansion is performed whenever we want to represent a complicated fraction as a…

Q: integral (1-64x2)1/2 dx

A:

Q: integrands (section 4. Calculate the indefinite integrals for the following functions as 8.3): 1 (a)…

A:

Q: Determine 0(x,t).

A: In this question, we have to solve the heat equation with non-homogeneous boundary conditions. for…

Q: Describe several types of line integrals and discuss how they are related.  (Note: several types,…

A: Then line integral over a scalar field can we thought as the area under the curve C along a surface…

Q: Direction: Determine the Inverse Laplace Transform of the functions using the Laplace of Integrals…

A:

Q: LINEAR DIFFERENTIAL OPERATOR N FUNS TIO

A:

Q: Fourier series fixis = x sinx ,xe (…,7)

A: The given problem is to find the Fourier series expansion of the given periodic function with given…

Q: Direction: Determine the Inverse Laplace Transform of the functions using the Laplace of Integrals…

A:

Q: Fourier Transform of

A: Fourier Transform:- It is a mathematical transform which decomposes functions depending on space or…

Q: Fourier Transform

A: Fourier Transform is f(t)=F[ω]=[∫−∞∞f(t)e−jωtdt]

Q: What is improper integral write down also an example?

A: Improper integrals: An improper integral is a definite integral that has either or both limits…

Q: DEFINITE INTEGRAL ACTIVITY Find 01x2dx Find 24t2dt Find 12x3-2x+5dx Find -10x(x2-1)dx Find…

A: 1) Given:    01x2dx           =∫01x2dx  we know that ∫xndx=xn+1n+1           =x2+12+101…

Q: 5. 2х + Зу\ %3 х2

A: Given :  2 x + 3 y 4 = x 2  Find :   implicit differentiation

Q: Approximate sin 49º by Taylor series

A: We know that,  49°  = 45° + 4°  = (π/4 + π/45) rad = (45+4)*π/180 =  49π/180 rad

Q: ow would I prove the change in area using fundamental theorem of calculus

A:

Q: Give a short description of integration

A: Topic = Integration

Q: Laplace transform of  sin 2t+et sin t

A: Given that: Let f(t)=sin 2t + et.sin t

Q: Limit 0to2 integral√4_x^2 dx

A: To evaluate: ∫024-x2dx Solution: We know that, ∫a2-x2dx=12xa2-x2+a22sin-1xa+C Using the above…