13 -dt, и 3 4 —214 J (4 – 214)11

Q: Evaluate the integrals in Exercises 25–30 by using a substitution prior to integration by parts.…

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Q: In Exercises 17-24, compute the double integral of (2, Y) over the domain D indicated.

A: We are entitled to solve only one question at a time. As the one specific number is not mentioned,…

Q: In Exercises 25-28, sketch the domain of integration and express as an iterated integral in the…

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Q: Evaluate the integral of 3dx/(2x^2 + 4) from 0 to 0.2 *

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Q: Evaluate the integral. inegral (3t -2 )/ (t+1) dt

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Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: 4- 3.…

A: Given:

Q: 2. Use the fundamental theorem of calculus part 2 to compute the integral 1° dr. 0,

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Q: Can i get help with this problem step by step?

A: We need to evaluate the given integral

Q: In Exercises 5-40, evaluate the integral using FTC I.

A: To evaluate,

Q: . Compute the line integral of E from B(0,0,0) to A(2,1,3) if E = -4xya, – (4y + 2x2)a, + 8zaz. Use…

A: The line integral of vector field E→ along curve C is ∫C   E→.dr=∫abE→(r→(t).r→'(t)dt  where r(t)→…

Q: Evaluate the integrals in Exercises  using integration by parts.

A: Note:- We’ll answer the 19th question since the exact one wasn’t specified. Please submit a new…

Q: calculate the 4-) integrals rdr a-) b-) (x2-9r+20)dr (-3)a

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Q: Evaluate the integral. dt V 4 + t2

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Q: In Exercises 7-24, write the integral in terms of u and du. Then evaluate.

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Q: Use the substitution z = tan (6/2) to evaluate the integrals in Exercises 41 and 42. 42. 41. esc @…

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Q: Evaluate the integral: ∫ t2 sec2(9t3 + 1) dt

A: The given integral is, ∫t2 sec29t3+1 dt. Apply the u-substitution by taking u=t3. Then dudt=3t2.…

Q: Evaluate the integral: fnste" du ds dt

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Q: Explain Bessel equation and Prove that 2 (n + 4)Jn+4x (i) (ii) In+3X + Jn+5X = 4J"n = Jn-2 – 2Jn +…

A: The objective is to explain Bessel equation and prove that  (i) Jn+3x+Jn+5x=2xn+4Jn+4x (ii)…

Q: In Exercises 5-40, evaluate the integral using FTC I.

A: we have to evaluate the value of the definite integral ∫04ydy. let the given integral be I.…

Q: Evaluate the improper integrals in Exercises

A: "Since you have posted two questions, we will solve first question for you. To get another question…

Q: Evaluate each of the integrals in Exercises 33–36 as an iteratedintegral, and then compare your…

A: We have to evaluate the following double integral: ∬RxydAR=x,y0≤x≤2 ; 1≤y≤4

Q: In Exercises 61-64, express each integral as a single integral.

A: The given integral is , ∫73fxdx+∫39fxdx To write the given integral in a single integral, applying…

Q: Evaluate the integral. VZ/2 dr V1-2

A: In this question we have to evaluate the Integral.

Q: loS dt:

A:

Q: Evaluate the integral Ja (2 – 2) " da, - by making the appropriate substitution: u =

A: The given integral is ∫x2x3-219dx

Q: Evaluate the integral. 2/t dt 2/t dt = .2

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Q: Evaluate the integral. dt 4 dt =

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Q: Consider f dr. V1-16z² For the u-substitution u = 1 – 16x², which is the new integra 32 u2

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Q: Explain Bessel equation and Prove that 2 (i) (ii) In+3X + Jn+5X =÷(n+ 4)Jn+4x 4J"n = Jn-2 – 2Jn +…

A: Definition Bessel's Equation: The differential equation x2d2ydx2+xdydx+x2-n2y=0 where n is a…

Q: Evaluate the integral.  integral  t  3sin 2  t dt

A: To evaluate the integral: ∫3sin2tdt. We know that, sin2x=1-cos2x2 Therefore, using this formula,…

Q: Evaluate the integral.

A:

Q: In Exercises 7-24, write the integral in terms of u and du. Then evaluate.

A: Given: ∫x24-xdx

Q: In Exercises 5-40, evaluate the integral using FTC I.

A: Given,      ∫1/161t1/4dt

Q: 3. Show that а" (1 — 2)" dа а" (1 — 2)"da, where m, n are positive integers. (Use integration by…

A: To prove that ∫01xn1-xmdx=∫01xm1-xndx Where m,n are positive integers.

Q: In Exercises 1-12, evaluate the definite integral.

A: Given: ∫212 dt3t+4

Q: sec² (1+ /7) dr. 6) Use the substitution u = 1+Va to evaluate the indefinite integral|

A: