iox e dx solue with Residue nethod 2 - x + 2ix +1

Q: sinh (1+ Inx) = Select one: e Inx 2 O Zero e?x²+1 2xe e?x² – 1 2хe O None x²+1 O 1+ 2x

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Q: ! 6-Find the value of the integral * U x3/2 e-x dx

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Q: 4- 2x Evaluate the following integral : dx 2x +4,

A: The answer is π/3.

Q: dx. Evaluate the integral / (x² + 1)(^ · x – 2) -

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Q: dx integralini hesaplayınız. 1-x3

A: Evaluation of integral

Q: Guestion Cos 2 dyelz

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Q: 1: Evaluate the integral 3x - 1 (x + 4)(2x - 1) I -dx.

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Q: Determine | An (x) An+1(x) dx, from the relation: tn .1 Σ (2n + 1)! tn+1 A, (x) An+1(x) dx n=0 n -1

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Q: Q6) Compute the integral 3 1 dxp -з (х +2)3

A: Here we solve the given integral.

Q: a) sin2021 (2mr)dr re gln z b) Ip- c) | In(csc r) cot rdr 1 d) 2r – a2 et - e- dr ez +e- e) 을 In 3…

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Q: Find a ≤ b such that

A: ∫abx2-9dxApply the Sum Rule:…

Q: 1.5 3-y Q1) Evaluate the integral dx dy

A: To evaluate the given integral.

Q: 18. y = (In 0)" > dy de = T(In 0)-1) () T(In 6)(-1) %3D

A:

Q: Question 003: Complete the following question involving Substitution Method. Given the integral dx…

A: Given the integral  I = ∫ 5 sin(4x-1) dx By substitution method, Take u = 4x-1 du = 4 dx  dx = du4

Q: :S- iven : alue of AB 3 8x+1 4x- dx. If we let the substitution" = 4x-5, the final answer takes the…

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Q: 5. Find the integral 1 -dx x -5x +6

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Q: -) A) Find by using chain rule if f = ( , u = -1,x=-1 dx u+1 B) Evaluate the following integral:…

A: This question is based on chain rule differentiation and indefinite integral.

Q: Evaluate. d farctan a – In a] dæ 1+x² 1 sec2 x 1 :- e" sec² ¤ 1 + 1-x²

A: The rule of derivatives states that ddx(f(x)±g(x))=ddx(f(x))±ddx(g(x))

Q: 9-x2 18-x²-y² xydzdydx. B: Find the integral fo J

A: Triple integral

Q: (a) Evaluate the integral 1 2 (4-)dy dx

A: Evaluate the given integral as follows. ∫01∫024-y2 dy dx=∫01∫024-y2 dy dx=∫014y-y3302 dx=∫018-83…

Q: n lim >(sin (2mx;))Ax over [0,1] i=1

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Q: a) [ Evaluate the integral 4x - 1 (x + 2)(2x - 1) S -dx.

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Q: dy Graph the direction field for the first-order ODE dx -1 and use it to sketch the solution to the…

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Q: 1847 In x 5)- b) Show that the ode (x + tan-¹ y)dx + y dy = 0 is exact, then find the general…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other questions as…

Q: e 2*(1 – e *x)- J (arcsin e 2x) cos2 (In arcsin e2x)

A: Given,           ∫e2x1-e4x-12arcsine2xcos2lnarcsine2xdx

Q: Test the ff ODE for exactness and find the general solution of the DE. (2x + 3y) dx + (3x + 4y) dy –…

A: Let's find.

Q: 9-10 Use the Midpoint Rule with n = 4 to approximate the integral. 9. 2² dx

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Fnd general solation:. Cosx x2

A: Given: y'+2xy=cosxx2

Q: |x²In x dx %3D 13 x'n x- 19 x² +c -x cos x + sin x + c x'3 Inx - x219+ e

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Q: 3-26 · Evaluate the integral. 3. (x cos 5x dx

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Q: Compute dx using the techniques as presented in class and in our textbook. Show all 2x +5x-3 the…

A: we first factor the denominator

Q: 5x dx. - 6 Compute the integral x2

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Q: - Using Greens date $(x2 + y)dx bounding of the 0<x<1 and x' sysx.

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Q: 18 2 6x dx using n = 2, 4, and 8 subintervals 2

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Q: 1. [5an2f elan 28 sec² 2 Båß 3. e +1 2x e2x +2e* dx e* +1 4. |(30shm +ecoshm' 2.

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Q: Г(п + 1) (т + 1)"+1 I(n).k>0] 1 3. Show that, / (In-)" dx [Hint:/ -kx n-1 e kn

A: Question is solved.

Q: Example dy Find if, dx a) 4x In y - 3 cos x +x sin 2 x = 1 b) xy – 5y + 6x2 = 7 %3D

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Q: a Solue (x*-a) dy + xy =0

A: See the attachment

Q: 9-x2 B: Find the integral S 18-x2-y xydzdydx.

A: We have to calculate the given intregration

Q: @) skelch a graph of the Punehion y=sinx-sinsx at Le,zn] 4) Given Secanda -10 and sr casd x =3,…

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Q: 2. Evaluate the integral: 2xe-**dx -0

A: topic - integration

Q: 4- 13 + 6y = 0 dx

A: We have to be find

Q: In(x) -dx Evaluate the integral m(2)

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Q: 2 1. Evaluate the integral: dx 2 x2-x

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Q: 3 Evaluate the definite integral dx. (x- 5)4 -2

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Q: e Lim 2. 5+s2 y4 3 Lim (4) Lipn J+ Cos늦

A: 1. lims→∞(ss+1)(s25+s2)lims→∞s×s2s×s211+1s11+5s2= 12×2=14

Q: dx Evaluate the integral: 3/2 64 -

A: To solve the given integral problem.

Q: 4.3 Can you show me the steps to solve 19?

A: The given definite integral is,

Q: 3: Solve ODE Cist Order a. dY

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.