Use any method to evaluate the integrals in Exercises will require trigonometric substitutions, but some can be evaluated by Most other methods. 15. 16. dx /9 – x² dx 4 + 1.J4 x³ dx dx 17. 18. J ²V² + 1 Vx² + 4 w2 dw 6, 8 dw 19. 20. w²V4 – w² w2 Sava=ade x + 1 dx 1 — х Vx² 4 dx 21. 22. •V3/2 4x² dx dx 23. 24. (4 – x²)3/2 (1 – x²)3/2 x² dx dx x> 1 25. 26. |(x² – 1)3/2* (x² – 1)5/2 x > 1 Г(1 — х')12 28. (1 — х)3/2 dx 27. dx

Q: 3. Evaluate the following and use change of bounds for definite integrals when appropriate. a)…

A: Given :           e)∫5x2ex3dxf)ddx∫2x5t2+1dt

Q: 14 Find the integrals using integration by parts. b. JF In /rdx In a. fx(x + 4)°dx c. fr'e"dx d.…

A: Just multiply by 1and go ahead.

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral In(x) dx…

A: We use trapezoidal rule ,midpoint rule,simpson's rule to approximate the given integral

Q: What is the integral that represents the length of the curve from x = 2 to x = 4. Select one: 0 ₂²…

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Q: 1. What should be A for the path independent of (2,4) xy + A 2Лу — х dy y? -dx + (1,2) Moreover…

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Q: 2 c2 Reverse order and evaluate the integral S, 2y2 sin(xy) dydx

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Q: 1) Evaluate the integrals for parts a and b. You must show work t. Use correct notation. a. (x +…

A: For the first question we will write the equations separately and will integrate it. And for the…

Q: (2+ v 9-x²) dx -3

A: Given integral is ∫-302+9-x2dx.

Q: A. Evaluate the following indefinite integrals using the Power Rule: 1. SE Va dx 2. S dx 3. S(-Vx +…

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Q: use the Antiderivatives and Definite Integrals Theorem to evaluate the integrals. 3 2 3 2 6x- dx J…

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Q: 2. Find the exact value of the following integral f(2) de where f (x) = 0.2 + 25x – 200x2 + 675x³ –…

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Q: 2. Evaluate the integrals. (a) S (b) [9rc (c) J (d) O 1+ e²r 9x cot(x²)dx -do -dx cos sin² 0 +1 -dx…

A: As per the guidelines we can solve 3 parts only

Q: 1.a) Apply the Trapezoid and Corrected Trapezoid Rule, with h=; , to approximate the integrale-2x²…

A: Note:- As per our guidelines, we can answer the first part only as both are different and first part…

Q: 2. Evaluate the following integrals. a) [ex.sech (e2x + 1) dx b) [sech (2x-1) dx c) Vsinh 2x…

A: Integration by substitutions

Q: Choose the most appropriate answer: Evaluate the integral : J(e- 182 + sin 11x) dx -18x e + cosll +C…

A: We need to evaluate the following integral : ∫e-18x + sin11xdx

Q: 2- Approximate each of the integrals in the following problems with n = 4, by (i) The trapezoidal…

A: According to the trapezoidal rule of integration, we divide the whole area into small-small…

Q: 8. Depending on the real parameter p and q, what can you say about the result of the following im-…

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Q: Use the value of the first integral I to evaluate the two given integrals. 3 | - 27 (x3 - 6x) dx =…

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Q: Reduce to first order and solve. (1 - x2 )y" - 2xy' + 2y = 0, y1 = x. Use : fp dx = In [1/(1- x²)] ,…

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Q: Evaluate the integral of the equation using Romberg's Method h = 0.5. h/2=0.25 h/4 = 0.125 h/8 =…

A: We have to evaluate the integral of the equation using Romberg`s Method.   ∫12(3x+2x)2 h = 0.5

Q: 14 Find the integrals using integration by parts. xp_ († +x)xf • - dx c. fr'e"de e flnx'de d. f (in…

A: Solution: The objective is to find the value of the given integral

Q: 6. Evaluate the following indefinite integrals using substitution method. 2x3 (a) S dx (7-2x4)5 (7…

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Q: 2. Approximate the following integrals using Gaussian quadrature with n = 1 and n = 2. 1 а) -dx x² –…

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Q: Compute the following integrals. 1 t3 (a) dt. Jo V4+ t² (b) e6x cos (3e2) dx. (Hint: you might need…

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Q: 3) Approximate the value of following integrals by using composite Trapezoidal rule, composite…

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Q: Evaluate the integral: Se³+ A B C 3+cosh2x33+cosh2x sinh2x dx (3e)3+cosh2x + C 2+2ln3 (3e)3+ sinh2x…

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Q: 11. While using Trapezoidal rule to evaluate the approximate value of an integral, if a=6,b=8,h=02,…

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Q: Q.2. Calculate the integral of: f(x) = (3x+1) from a=-0.2 to b=0.6 by using Simpson's Rules only and…

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Q: To find the arclength of y 2x 2 from x = 0 to x = 2, which is the correct integral? OL = I Vi+…

A: Explanation of the answer is as follows

Q: To find the arclength of y = 2x – 3 from = 0 to x = 4, which is the correct integral? OL = V1+ 4x²dx…

A: I have appended the formula used in the solution part.

Q: (1 – 3|x|) dx -2

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Q3. Find integral of ( by using Rectangular rule): -38 L Sin(x) In(x + 2) dx , n = 7 24

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Q: Provide an appropriate response. Given f(x) dx = 4 and g(x) dx = 2, use properties of definite…

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Q: Evaluate the integral: Se³+ cosh2x33+ cosh2xsinh2x dx 3+ (3e)3 + cosh2x A + C 2+2ln3 (3e)3 + sinh2x…

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Q: 39. Use a software application to compute the integrals у — х dx dy (x + y)³ у — х dy dx Jo (x + y)³…

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Q: Evaluate the integral using an appropriate method. J = 3 22+5+6 dx

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Q: Depending on the real parameter p and q, what can you say about the result of the following im-…

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Q: 2- Approximate each of the integrals in the following problems with n = 4, by (i) The trapezoidal…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Apply trapezoidal and Simpson's rules to the integral 1 =[ \1-x² dx h=0,2

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Q: Evaluate the iterated integral. 14 Sxy ex dy dx 03 14 SSxy ex dy dx = [ 03 (Type an exact answer in…

A: Topic = Integration

Q: If | h(2)dz = 4 and | h(2)dz = 9.1 %3| 1 what does the following integral equal? |h(2)dz = 4

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Q: Evaluate the given integrals. 3x?dx 1. S 2х4-1 2 dx 2. S tan x(5+ln sin x) 3. Seš(6– ei)" dz 1 4. S…

A: according to our guidelines we can answer only three subparts and rest can be reposted thanku.

Q: # 4. Using the known areas, find the integrals. S,(1– |x|)dx b. S',[2 + /1– x²]dx а. -

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Q: Depending on the real parameter p and q, what can you say about the result of the following im-…

A: a ∫1+∞1xpdx=limt→+∞ ∫1t1xpdx     =limt→+∞ x1-p1-p1t   =11-p limt→+∞ t1-p-1   =11-p∞  =∞

Q: The area of a circle of radius v7 can be calculated using which of the following integrals? O 7- x²…

A: Before finding the area we need to see the formula for area under the curve f(x) for a≤x≤b is given…

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) YV 6 +…

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Q: Evaluate the following indefinite integrals. Show your solution. 1. f5 einx(sin x + cos x) dx ecos…

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Q: 3. Find following integrals using method of substitution: Sze z dz a. 2 x2 b. S /1+x

A: Consider the provided integral, ∫ze-z22dz Find the expression for this integral using substitution.…

Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ y + 3/2y3 - 8y dy

A: