x²+ 3x-7 In Evaluate the integral: e X-2 dx x2 +5x + In|x-2| + C A B None of the given Choices x² + In|3x- 6| + C 2 + 5x + 3In|x - 2| + C 2 D E x² + 5x+In|3x-6| + C E

Q: 5. In antidifferentiation, the formula f x" dx = (n+1) + Cis valid if? A. nER 6. In item number 5,…

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Q: Зx2 + x + 31 Вх + С + x2 +9 A (x + 4)(x² + 9) x + 4 A = B = С - Now evaluate the indefinite…

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Q: 8. X -dx. Evaluate the integral / (72 + 1)( 2· x – 2)

A: To Evaluate:

Q: 27-37. Repeated linear factors Evaluate the following integrals. 81 16x? 27. dx 9x? 28. dx (x – 6)(x…

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

Q: Using the 'simple chain rule backwards', obtain the integrals of the following functions f(x). Enter…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Tutorial Exercise Write as a single integral in the form f(x) dx. f(x) dx + dx f(x) dx -5 Part 1 of…

A: The given expression is ∫-51fx dx+∫12fxdx-∫-5-2fx dx. It is known that for a≤b≤c,  ∫abfx…

Q: W Q2.JPG x3+10 dx is ax + bln x -Arctan X-e The resulting integral of f + C, where a, b, d, e, and…

A: To find The value of b by evaluating the given integral.

Q: 2x-e* Evaluate the integral edx o" (o" -1) а. b. -o" (o" +1) с. d.

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

Q: 2. The value of the integral in terms of u is? 2u³-21n|u³+1| + C 2u³-3u² +6u-6ln|u + 1| + C 6u+…

A: We know that integration of xn is xn+1/n+1.     Here i attached the solution of this question.

Q: Integrals. Given that 0. -1 f(x) dx = -2, | f(x) dx = -1 and -5 f(x) dx = 8 -5 what is 2f(x) dx? O7…

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Q: [CLO-2] Evaluate the improper integral. 8 √₁² (0-²x + ₁ 72² 2² ) ₁ dx 1 1+x²

A: Follow the procedure given below.

Q: Consider two functions f and g on [2,7] such that f(x)dx = 11, g(x)dx = 6, |f(x)dx = 6, and g(x)dx =…

A: some are correct but some wrong...

Q: 2x" /(x+1)} You found that the reduction formula of a certain integral is I, = 2n In-1 2n+3 and that…

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Q: Consider - 9 dx. Using rationalizing substitution, we let z = √√e*-9. √√e²-96 What will be the form…

A: The integration of the integral is √(ex-9).

Q: 14. We use the substitution u=x-1 to evaluate the integral Find the integral with respect to u. 2u O…

A: Fro the given problem: I=∫x2x-1dx..(1) Use the substitution method to solve the integral: Given:…

Q: p2 (x³ – 1)(x² + 1) What is the value of F(a) in the evaluation of the definite integral xp- -1 X-1

A: Perform integration

Q: 15x² x3-43x - 19 - (x + 1)²(x² - 6x +13) Ax + B S ax²+bx+c The integral What is the value of dx can…

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Q: 2x-9x-3 Evaluate the integral dx x-9x Select one: |(x+3)"| In (x-3)2 O a. +c O b. In Jx(x-3)7 + .…

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Q: (4) The symbol f was introduced by and is called an It is an elongated S and is chosen because an…

A: NOTE: As per our guidelines, I am supposed to solve only one question. Even though I have answered…

Q: 9-36 Evaluate the integral. So 36 - 9. x'V16 + x?;dx 10. dx V9 6, Vx² 1 dx 13 - dx 36 - х2 11. 12.…

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Q: Using an appropriate substitution, the integral I = | (3.x² + 1)(x² + x)° dx is equal to: (x³ + x)°…

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Q: stloh 7. ain the integrals of the functions f(x), entering your answers in the specified form, where…

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Q: •4 b (3x – 4)° dx = || f(u) du where (enter a function of x) = n dx (enter a function of x) — пр a =…

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Q: (b) | 3x(r – 2)2 dr Evaluate:

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Q: -Arctan + dx The integral of the given function S (x²+4)2 is Arctan + C 8(x²+4) 16 b. - Arctan- + а.…

A: Given:   ∫dxx2+42

Q: Evaluate the integral V-1+5s Determine a change of variable froms to u. Choose the correct choice…

A: Question is solved.

Q: 4x3 + 3x? - 16 dæ 12x Consider the indefinite integral / x2 Then the integrand decomposes into the…

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Q: | f(x) dx = -9, | f(x) dz = -9, g(x) dr = 15, g(2) dr = –3, %3D %3D %3D Use these values to evaluate…

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Q: If 9. f(2)dz = /. 9 1 f(x)dx + f(x)dx - f(x)dzæ, %3D a -8 8. what are the bounds of integration for…

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Q: (2x2-3x+2) dx (x-1)2 (x-2) - Evaluate the following integral: S

A: To evaluate the integral: ∫(2x2-3x+2)(x-1)2(x-2)dx

Q: x² Va?-x²dx let write the integral by using Beta function 3 3 .a O 2'2 a (5 3 2'2 .b O a4 1 5 B 2 .c…

A: let x=asinu  differentiating x= asinu dx=acosudu when  x=0, u =0 x=a,u=π2 therefore, the given…

Q: z? +2z+3 -dz Evaluate the integral (z-6)(z² +4)*

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Q: [(16 - Ax*) (x15-x*) dx Determine a change of variables from x to u. Choose the correct O A. u= (x'6…

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Q: Consider the functions given.Evaluate the integrals

A: To evaluate: ∫46gx-fxdx Given: ∫16gxdx=5, ∫14gxdx=2, ∫46fxdx=5 Evaluating the integral using given…

Q: Consider the functions given.Evaluate the integrals

A: Given integral is ∫14fx-gxdx.

Q: A d B C Ca D b 15x²x³43x - 19 (x + 1)²(x² - 6x +13) Ax + B Slax + lax² + bx+c ff (mx + n)t The…

A: The given integral is  (15x2-x3-43x-19) /[(x+1)2(x2-6x+13)].

Q: Evaluate the indefinite integral. 18 Vcot(x) csc (x) dx O- 18 csc²(x) + C 19 csc(x))19/18 + C 18 19…

A: The objective is to evaluate the indefinite integral.

Q: √√√x ²-1 d For the integral What is the re-write of this integral? Ⓒ / - A z² dz 2(z² + 1) B…

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Q: Consider the functions given.Evaluate the integrals

A: to find the value we use the property  ∫abf(x)-g(x)=∫abf(x)-∫abg(x)

Q: Kercise 1.2 -10 Evaluate the integral. xp A (xỉ +x²+ 1) dx 1 3 x(x'+2x+ 1) dx 3

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: f(x)dx = 12, g(x)dx = 6, f(x)dx = 6, and g(x)dx = 2. Evaluate the following integrals. Saman = 2…

A: Given:       ∫27f(x)dx=12 , ∫27g(x)dx=6       ∫67f(x)dx=6 , ∫26g(x)dx=2 we can write as…

Q: 3.x - I +6 dx Evaluate the integral: 2x x'+F - 3Inx+C A. r'+ + 3ln.x +C B. 2x - + |x + Inx + C D.…

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Q: 1-z² ¡dz. Evaluate the indefinite integral J 1-z4

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Q: Homework: Determine the indefinite integrals for the following: A. (a)Sx*dx B. (a)S (b) x² dx dx (b)…

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Q: EXERCISE A Find the indefinite integral of the following. Show the solution. (50 points) 1. ſ(2x* –…

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Q: Please see image.

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Q: 7 Suppose f(x)dx = - 3, f(x)dx = - 6, and g(x)dx = 3. Evaluate the following integrals. 2 2 2 g(x)dx…

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Q: Can you help with question 5

A: 5). To evaluate the integral. a). ∫01x35x4+2dx Let substitute t=5x4+2. Differentiating on both…

Q: 7 Suppose f(x)dx = 6, f(x)dx = 3, and g(x)dx = 8. Evaluate the following integrals. 2 2 2 2 g(x)dx =…

A: ∫72g(x)dx=-∫27g(x)dx=-8 [change of limit law]∫276g(x)dx=6∫27g(x)dx=6(8)=48 [constant multiplication…