x3+10 x3-2x²+5x f are integers. What is the value of b? X-e The resulting integral of J dx is ax + b In x -Arctan + + C, where a, b, d, e, and А) -5 B) 3 C) -1 D

Q: Use the substitution formula to evaluate the integral. 3edx 1+ e O A. 7 Oc. - OD. - OB.

A: To find : ∫0ln333e3x1+e6xdx

Q: 6. Evaluate the following real integrals by residue theorem 3 .2T Sín O S. I= J do a+ Coso ans: 2(a-…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: e In (xle ) (2– sec²x) sec(3A – x) sec³x dr What should be the value of A for to be integrable using…

A: integration by substitution method

Q: The value of the triple integral is O78 O712 O74 None of these

A: Given integral is,

Q: 4 1 Replace the letter A in the integral J(2x³ + 4)* dx so that the integral evaluates to (2a3 + 4)°…

A:

Q: d.x (a) Evaluate the integral In(8x) using the substitution u = ln(8x). d.x +C T In(82)

A:

Q: 3 Evaluate the integral de using the two-point Gaussian quadrature rule O -|4 1035 N/N N/W 끔

A: We have to evaluate the integral ∫−3311+x4dx by using two-point Gaussian quadrature rule. Here,…

Q: Evaluate the integrals: 1₁ = - S using Second-order Gauss quadrature. O I₁ = 3.1416 12 = 1.5708 1₁ =…

A: Second - order Gauss quadrature formula:…

Q: 2. Use Cauchy's Integral formula, Evalnate the following. • I= 6 Sin4Z :(Z-4)3 IZ1= 3 I = . tanttz…

A: Given

Q: Evaluate the integral: tejat A. 2 1n(e2t-e-2t) +C B. 2 1n(e2t + e¬2t) +C e20-e-2t In(e2t-e-2t) +c -…

A: To evaluate the given integral.

Q: Evaluate the integral | * elan(13-x) sec²(13 · x) dx 52 Write your answer in the form ea – b -

A: The given integral is ∫0π52etan13xsec213xdx. Let u=13x. Then du=13 dx. The lower limit will change…

Q: 2x Evaluate the improper integral dæ, if it exists. (x2 + 64)2

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Q: a+bx² dx V3ax+bx3

A:

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ + 1| + C dx…

A: The integration of the integral is 1/[x^(1/3)+x^(1/2)].

Q: 4. Determine the integral of f(z) = 1/[(z – a)(z – b)], where a and b are in general complex…

A:

Q: Consider S 1x². 2-9 x3 what is the integral form in terms of ? A / Scos² e de Ⓡ = sin²e de B C…

A: This question is related to Indefinite integration, we will solve it using given information.

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ +1| + C dx…

A: Given

Q: The improper integral 2dx 0. 1-x2 3 T

A:

Q: The evaluation of the integral - de is +In 3 (C) 0 cos3e (i) 4 (ii) + In 3 3. (iii) None of these…

A:

Q: The particular integral of (D² – 2D+ 1)y = xe® is 2 -2et - x2 3

A:

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³+1| + C dx…

A: To evaluate: ∫dxx3+x Let I = ∫dxx3+x Assuming x=u6⇒dx = 6u5du

Q: 6. Evaluate the following real integrals by residue theorem 3 ーン ans : 493 • I= ST dX ans 8 12…

A:

Q: Let b 2 4 be an integer. What is the result of the integral dx ? D) 0 E) 0 - 0o (the result of the…

A:

Q: Evaluate the integral. Oin | +0 | C In (x-8)² x + 7 In |(x-8) ³² (x + 7) + Din ((x=83² ) +1 In C + 7…

A:

Q: tan (in |4x2|) dx is bin sec (In |(2x)ªl)| + C. what is ba The integral of A B) 4 © 1 1

A: Topic:- integration

Q: dydr 13. Evaluate the double integral J, J, o x²+7 a, In 10 b. In 10-In 7 а. c. In 11 d. In 11+In 7…

A:

Q: Evaluate the integral f 2x (x² +1)** dx using the substitution 14 u = x² + 1. | 20 (a² + 1)“ dx +C

A: The given integral is: I=∫2x(x2+1)14dx Substitute u=x2+1 After differentiating,…

Q: Prove the irrationality of n² by expressing the integral In - = 6.² P(x) sin x dx as a linear…

A:

Q: 2+x*dr, %3D For positive integers n, the integrals I, are given by (a) , = 26V3. Show that I, (b)…

A:

Q: 7. Evaluate the integral r8-2x (x + y + 1)-2 dydr.

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Q: ar integral of the c 3 – 7D2 + 7D – 2

A:

Q: Evaluate the improper integral t* e-2t 3+e-4t at

A:

Q: Evaluate the integral: J22 SVA-2 01- [] π [] +C dydz 4-2² e² +²

A: double integration using polar form

Q: Which of the symbols below denote the operation of antidifferentiation? c. Sf(x)dx = F(x) A. F(x)) =…

A: Since, you have posted 3 questions. We"ll solve first two questions, because 3rd one is incomplete…

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

A: Given:

Q: Evaluate the double integral. 8xy2 dA,    D is enclosed by x = 0 and x = (4-y^2)^1/2

A:

Q: What is the integral of f 2z²–3z+2 1 -dx? O vi tan () +C 7 O None of the choices Gan '(녹루) + C 4z 3…

A:

Q: 17. Evaluate the integral or show that it is divergent [(a)-(c)]. 4 6 14 dx (a) wzda, f (b) (b)dx,…

A: As per the instruction, we will be answering the first three subparts. For (a),…

Q: [4] 5. Use the fact that 1 +C 4e2r dx = 2e2 to either evaluate the improper integral 2 dr, or show…

A:

Q: (a) Evaluate the double integral // : 2x + 3y² drdy. (b) If / 112 drdy+ 112 drdy 112e dydr, then…

A:

Q: Evaluate the integral. ƒ ƒ6(x³ - y³)²dA = □ (Type an exact answer.) R

A: ∫-11∫016x3-y32dA

Q: / (292 + 7)* - vz de. 5 Compute the integral

A: We apply u substitution

Q: Evaluate the integral. 7/6 (7/2 (5 p2 sin() dp de do Jo

A:

Q: Heba was asked to find this integral using u-substitution: |(-12 – 1)V-6z? – æ + 1 dæ How should…

A:

Q: Evaluate the integral     ∫     (3/u +u/4)du   =________________________________+ C

A: Given integral cn be written as We know that integral of (1/x)dx=ln(x) and integral of…

Q: (§5.4, Q12) Evaluate the integral using FTC I: (5u* + u? – u) du.

A:

Q: Choose the most appropriate answer: Evaluate the integral : f 7x6 dx x7+2 O In(x7+2) + C O In(x7+ 2)…

A: We will use substitution method to solve the integral.

Q: In (x le) (2– sec²x)elmtafcsec?x sec(3A – x) - dx to be integrable using the formula 'du? What…

A: