Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D". 1 dx (бх + 1)2

Q: Compute the given approximation to the integral.

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Q: Evaluate the integral. dy yt – 16

A: Given:

Q: Compute the value of the following improper integral. If it is divergent, type D. 1 dx 0.

A: To compute the value of improper integral.

Q: Consider the integral 7x dæ 1+ x? 00 If the integral is divergent, type an upper-case "D".…

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Q: Evaluate the integral or show that it is divergent.

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Q: Consider the integral -8e-y/2 dy If the integral is divergent, type an upper-case "D". Otherwise,…

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

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Q: Which of the following is not an improper integral? dx V2x – 1 00 x² e" dx 00 dx x +1 dx x3 – 1

A: from the given integrals

Q: compute the value of the following improper integral. If it is divergent type D. dr (5x+1)

A: To compute the value of improper integral: I=∫1∞1(5x+1)2dx...(1)

Q: Which of the following improper integral is divergent? dx (А xIn(x) 10 (B xe-x*dx dx 1+ x2 dx (D x4

A: The integral function is,

Q: In ly-y-cf dy

A:

Q: Consider the integral 3 dx V1 – x² If the integral is divergent, type an upper-case "D". Otherwise,…

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Q: dx (1 – e²)² -1

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Q: Evaluate the iterated integral. 5 (ху) dy dx

A: Topic = Integration

Q: e (In z)°dæ Evaluate the Integral

A: we have to find the integration of f(x) f(x)=∫0∞ex2(ln x)2dx ∫udv=uv-∫vdu             u=(ln x)2…

Q: Compute the value of the following improper integral. If it is divergent, type D. 1 dæ ¤ (In(x))

A: We have to check weather the given Integral is convergent or divergent.

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A:

Q: Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D".…

A:

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A:

Q: Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D". 00…

A: Given integration is, ∫1∞1(6x+1)2dx Let,  6x+1=u⇒6dx=du So, when x=1, u=7 when x=∞, u=∞

Q: Compute the following integral below using integration by parts. So t³ In(t)dt. •1

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Q: Evaluate the integrals ∫sech √t tanh √t dt/√t

A: Given, ∫sechttanhttdt We know that,  a.bc=a.bc =∫tanhtsechttdt Substitute the value of   u=t ⇒du=12t…

Q: dt (2 – t4)4

A: Given, ∫-10t3(2-t4)4dt

Q: Evaluate In x dx exactly by changing it to a dy integral.

A:

Q: S. e* dx

A: Given: The integral is  ∫0+∞e-xdx   To determine: The value of the integral ∫0+∞e-xdx

Q: Evaluate the following improper integrals, where the integrand is unbounded, if they converge, or…

A: Given improper integrals . To evaluate the given integrals , where the integrand is unbounded if…

Q: Evaluate the integrals in ∫7cos t sin t dt

A: Given Integral,I=∫7 cos t sin t dt

Q: Which of the following integrals diverge? (A) / Im(z)dr (B) *- (C) * x +1 -dx x2 dx (C) + 1)(x+2)

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Q: Evaluate the improper integral A diverges B) 0 с 3 Alu 112²232/3 dx 4

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Q: compute the given approximation to the integral.

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Q: 8r dr. 4. Evaluate the improper integral or show that it diverges:

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Q: Which of the following improper integrals diverge? 00 dx x2 0- 1 dæ x2 + 1 dx 2 O 2* da 2.

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Q: Which of the following improper integral is divergent? dx A xln(x) 10 dx (B x4 dx D dx

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Q: Compute the following improper integral. dx

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Q: of the following is an improper integral? • In3e COsx dx xe | in(x*+1) dx n(x++1)dr -4 x2-x- 2

A: Improper integrals are characterised as

Q: Evaluate the integral , dx 1+ e* using the substitution u = 1+ e". %3D et dx 1+ e"

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Q: evaluate the iterated integral.

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Q: Evaluate the Cauchy principal value of the given improper integral. 1 [ (x² + 4)² dx

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Q: Which among the following is an improper integral? 1 A x[In?(3x) – 4] Inx x[In*x- 1] ` .0.5 1 dx…

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Q: Evaluate the integral , xy dx dy 0.

A: Here we will integrate function w.r.t. x first then w.r.t. y

Q: Which of the following is an improper integral? dx ** 2х + 3 ... dx x² – 2x + 1 In(x² + 1) dx -2

A: Which of the following is an improper integral?

Q: Evaluate the integral

A: Integrate the harmonic function:

Q: 。vマ dx ナ○

A: To evaluate the integral: ∫1∞e-xxdx Solution: Let substitute t=x. dtdx=ddxxdtdx=12x2dt=1xdx When x→∞…

Q: accordingly, if the order of the integral given above is changed to dyd dx, what will the integral…

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Q: 4. Evaluate the following improper integrals or show that it diverges. (a) S T dr (c) S In z dr (b)…

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Q: The improper integral dx is (x+2)S

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Q: Calculate the following improper integrals or show they are divergent. (a) | cos(nt) dt (b) /. dx

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Q: Evaluate the improper integral if it exists dxp: 2.10 0.20 The improper integral diverges 30 2/2 40

A: Option (3) is correct. Integral diverges.

Q: 7. fx² cos mx dx, where m is constant.

A: We have to solve the integral

Q: Find the following improper integrals a) Ꮭ -dx 1 x2+x ex b) fodr dx e2x+3

A: We have to solve the given improper integration