Let F = 8xe" 7 + 4x² e° j]and G = 8(x – y) i + 4(x + y)j, Let C be the path consisting of lines from (0, 0)|to (8, 0)| to (8, 4)| to (0,0). Find each of the following integrals eхactly: (a) SF - di = (b) S. Ğ · dř =

Q: Calculate the integral: / 3 xe xe-2x dx

A: Given,          ∫3xe-2xdx

Q: Find the integral value for the following functions

A:

Q: Let D, be the linear transformation from C'[a, b] into C[a, b). Find the preimage of the function.…

A:

Q: Find the integral of s(2i - 2) dz x) dx N/3

A: ∫xndx=xn+1n+1+C

Q: a. / (3z² + 6) (z² + 6z)° dz 7– 2 dz b.

A:

Q: (f) 2(3 + 4)&(1 – t) dt

A:

Q: Evaluate the integral х3 dx x2 +49 х3 dх x2 +49 (Use C as the arbitrary constant.)

A: We substitute x^2+49=t, then the given integral become

Q: 4. Integrate the function f(z) = z² + 2z from z = -i to z = 1 in two ways, once along a straight…

A: The objective is to integrate the function fz=z¯2+2z from z=-i to z=1 in two ways, Once along the…

Q: s of stick t

A: Given that it needs 5meters of stick to make a picture frame.

Q: Find the differential operator which will annihilate the function 2x + r³ – sin 2r.

A:

Q: It is estimated that 60% of emails are spam emails. Some software has been applied to filter these…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: [2 0 -1 2 1] В — -1 1. Let A 3 1 [1 2 D = C = E = -1

A: DA  = 21112310-12        = 2×2+1×0  2×3-1×1  2×1+1×21×2+1×0  1×3-1×1  1×1+1×2        = 454223 (DA)'…

Q: Evaluate the integral 4 (4x +2) In (4x+2) dx.

A:

Q: [(7x-2)e-* dx; -3x

A: The given question can be solved as shown in step2.

Q: 3ln(x-2) d.x. 3. Compute the integral / 5(x – 2)

A:

Q: S(1) = >1

A:

Q: Let f(t) be the velocity in meters/second of a car at time t in seconds. Give an integral for the…

A:

Q: 4 xdx J(x+1)(х +4) 2

A: Here we have to apply integration by partial fraction method. We have the formula,…

Q: Find all values c in (−64, 64) such that f '(c) = 0.

A: From given information, it can be predicted that f(-64) = 0 f(64) = 0 To Find : all values c in (64,…

Q: Evaluate the following integral. dx (x² + 16)2 (A) 능 (구16+ 16arctan()) +C (B)(+16 +is arctan() + C…

A:

Q: ∫((1/t)+6th root of t)dt

A:

Q: kx _f(x) = ek

A: The Fourier integral of a function f(x) is defined as:F(ω)=∫−∞∞f(x)e−iωxdxTo find the Fourier…