-2 8. Given g(x)dx=8 and g(x) dx =3, what is the value of 5g(x) dx ? -2 0. (A) -25 (B) -40 (C) 40 (D) 25

Q: xcosx Q2- Find for y dx x2+4

A: We use logarithmic differentiation

Q: d -(3x² + 11)e¬ª at x = –1. dx Evaluate

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Q: 2) xe-X dx 0. A) -Se-7-1 B) -8e-7+1 C) -6e-7+1 D) -8e-7

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Q: √ (9+x²) ²0 dx is equal to 3x a. + Arctan) + C 3x b. (+ Arctan) + C - 54 c. + Arctan) + C 27 d. - (+…

A:

Q: S (x² + 1) e~3* dx -3x

A: we have to simply compute the following integral

Q: x-1 (d) S. dx . x5

A: Given

Q: d, 3 Find dx -)- + x(х - 1)). A -3 +2х-1 B +1 -3 +1 -6 +2х-1 x3 (D

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Q: +). L x-1 dx -1x2+1

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Q: d²y dx² - dy - - 6y = 0, when x = 0, y = 0, and when x = 1, y = e³ dx

A:

Q: What is ∫3x(x2+2)5 dx? Do not include the constant "+C" in your answer. For example, if you found…

A: Given integral ,    ∫3x x2+25 dx        Let , x2+2=z=3∫ x2+25.dx            ⇒2x dx=dz=3∫z5.dz2…

Q: d³y 4. dx3 d?y dy -2- dx2 + 4 – 8y = 0 dx

A: The given differential equation is; d3y/dx3 -2d2y/dx2+4dy/dx-8y=0.

Q: 1. f³₂ (x² − 3) dx -2

A: Given: ∫-23x2-3dx The limit definition of a definite integral is ∫abf(x)dx=limn→∞∑i=1nfciΔxi.…

Q: S(-5)'r dx 6x-9 2. Í dx x-3x+5 1.

A: ACCORDING TO THE GUIDELINES WE ARE INSTRUCTED TO ANSWER ONLY ONE QUESTION OR 2 SUB- QUESTION, THE…

Q: (iv) S х2 +3х-1 dx x3-1

A:

Q: 27. 12f(r) – g(x)] dx = 28. Ư(x) – g(3)]dx =, 29. (4g(x) – 3f(x)] dx = 30. f) + 39(x)] dx =

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Q: e2 6. - dx -Find 1

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Q: What is / 3x(x² + 2)° dx? Do not include the constant "+C" in your answer. For example, if you found…

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Q: 5e2x dx e2x + 11e* + 24 + 11e* + 24

A:

Q: Find the value of E 2) Evaluate y dx 3) x e

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Q: 8. (c) x³e 73e-2x dx 0.

A: To evaluate the below integral. ∫0∞ x3e−2xdx

Q: e4z+1 dx e2r – 1 17.

A:

Q: 8 Suppose [g(x)dx =5 , and [g(x)dx =-3 , find the value of 2g(x)dx 8

A: We have to find the value of integration.

Q: 1 b. 4*(x³)dx -1

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Q: Evaluate: S+ 2v) d. ii. L i. S(- 1-x-e-* dx. -1 2

A: i.

Q: 2 S (x² – 4| – |æ – 1)) dæ - 4| – |x – 1|) dx -2

A: Definite integration

Q: 3x + 2 10. Find the principal value of dx. (a² +9)(x- 4)x

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Q: Find the value of df-1/dx at x = f(a). 15) f(x) = x3 - 12x2 - 4, x 2 8, a = 2 1 1 B) - C)- 36 D) 44…

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Q: Q3 / Find d²y/dx² for the following; (5sec 3x) 2. x = t - t3, y = 2t + 5 1. d? dx2

A: The term represents the second derivative of the variable y. It can be obtained by differentiating…

Q: 1 dx -x2-4х+ 12 X.

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Q: S (2 + x)dx √4-2x-x²

A: We can solve the integration as below.

Q: S²- 16-x2 A 2 B) 8 0 None 4 E dx is equal to

A: I am attaching image so that you understand each and every step. Option "C" is correct answer.

Q: x3-3 5). S dx V x11

A:

Q: If x3+y3=19, find the value of d2y/dx2 at the point (-2,3).   The value of d2y/dx2 at the point…

A: x3+y3=19 Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: .6 6 If | F(x)dx=12, what is the value of | f(6– x)dx?

A: Using property of definite integration.

Q: What is the general solution of dx? (1– 2e3 )2

A:

Q: Evaluate: xe² dx Ső 0e-2 0e² 1 - 0/(e-1) 22

A: Evaluate the integral

Q: 9. (f) [f(x) + 2] dx -4 4л + 6

A: solving f) part as asked  ∫-46fx+2dx

Q: (d) y = x* (e) y = In(e2r + e-2#) (f) f(r) = e-

A: See solution below

Q: 10 dx. (-1)(x²+9)

A: We have to find integral.

Q: using the attached, find f(x) 2x2+3 2x2+2 x2+3x x2+2x

A:

Q: e2x 4. dx e2r + 3e + 2

A: We can evaluate the given integral by using the substitution u = ex  and the following equation.…

Q: [ €³ºf¹ (x) dx = e²f(x) − [ eª f(x) - dx

A:

Q: + 2x3 d?y dx2 dy Q5. Solve x* dx3 + xy = 1 - dx

A: According to the given information it is required to solve the differential equation:

Q: 4 2 + e )dx y2 x =

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Q: S1. 2 r/1+ 3x² dx

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Q: -1) 2. -dx (e² +1)

A: Given: - The indefinite integral is, ∫ex-1ex+1dx To find: - The solution of the given integral.

Q: 3. S(3+*+6 – e2*)dx 4. S 2x3e**dx xp,

A:

Q: 9. (D² - 1)y = 2/(e – e-*).

A:

Q: S² 7x2 + 16x – 19 dx x² + 2x – 3

A: