(x-3)(x² – 1)dx (x? — 2х + 5)5 5

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

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Q: dx 3. If 8c²xy = (x² - y2)2, find- dy

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: x+2 17. find a)) +1)(x2+1) dx b) x-2 dx 3x +1

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Q: | f(2) dx = 3 and | f(x) dx = 4 what is the value of If -2 |5f(x) dr?

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Q: 10a3 5.) dx 1 – x8 -

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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: [(2x -1)3– x )dx = + 8. 0 3.

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Q: n: (5y*x - 2y7)dy-(a-3x²y5)dx = 0

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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. - (+…

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Q: e dy dx У-х+1 У-х +5

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Q: Vx - 3 dx x=3

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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: 2. S (3x- 12) x'dx (3х I dx 2.

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Q: (iv) S х2 +3х-1 dx x3-1

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Q: dx J-2 (5-4x-x²)/2

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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.

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Q: 2k2+3 00 k+ 3 et None Announce A E Px dx F

A: We have to check

Q: f(x)dx =| -8 -4 -4 (9f(x) – 7)dx

A: see below the steps and calculation

Q: x+2 a) f- =dx V2x-x² |xIn(x+1)dx b)

A: Given that  (a) ∫(x+2)/√(2x-x2) dx   (b) ∫x ln(x+1)dx Here we have to calculate the given integral.

Q: (2x2-x+6)dx (х2—х-2))

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Q: (a) f dx 2 √3x-x²

A: To Evaluate:    ( a ) ∫03 dx3 x - x24  ( b)  ∫0∞ 3-3 x3 dx

Q: Find :a. b. 20 fő -1 20 dy (1+y) ² (20-6x) e 20x - 3x² dx

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Q: dx (XS_8)5

A: The objective is to evaluate the integration.

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: x+ 18 (d) J3 dx x2+x-6

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Q: dy = -5x+x %3D dx a. -5x++x?+C b. –15x2+1+C 1 c. d. -5x2+1+C

A: we integrate the differential equation by power rule and add integration constant C. The answer is…

Q: PO 5.5. -X².11+ y²) xe dx dy

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Q: 1 dx -x2-4х+ 12 X.

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Q: x +3 b. dx x2 - 3х - 10 с. x³ In(x²)dx at LKnow Chart part 2

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Q: S(x² +8√√x + 3e* ) dx = 2

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Q: √(x + 3) dx √16-x²

A: Solution

Q: dx 1) S- x2-2x+1

A: As per the guidelines we can only solve one question post other question seperately. Formula used  ∫…

Q: f(x) dx = 4 and 0 1₂ 2 +S²g(x)dx? 3 f(x) dx + -2 10 2 g(x) dx = 6, what is

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Q: -2x 6. A) Find dx 2x 1.

A: We have to find derivative

Q: V -dx x² + 2

A: Given, I=∫xx2+24dx

Q: (a) f(x) dx = Enter an exact number only. 4 (b) |(4f(x) + 10x)dx = Enter an exact number only. 4

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Q: 7. ex-4e-3 dx x- A 2 x + + С 2 + С et В х+2 е х + О D х - 2 е * + С

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Q: 13. dx x5-3

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Q: 1 T/ -dx 6 x²+16

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

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Q: d'y (3x* – 5)(2.x² +9x–6) Determine the of y = 3 dx 7x

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Q: 11. (D² + D – 2)y = 2x – 40cos (2x) 12. (D? + D)y = -cosx

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Q: 2x+9 Find ', if y dx x2 – 5x+1

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Q: dx x²√x² + 1 2 18. 1

A: Use substitution method for solving this integral.

Q: x3-1 dx J2+2x+5

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Q: -2 х 6. dx 1-x

A: Topic = Integration use ∫1xdx=lnx+Clnx⇒x is NOT defined for negative values of the independent…

Q: (x² - x') 6. Reciprocal Substitution -dx 3

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Q: X 2 dx = V4-x2

A: I=∫01x24-x2dx =∫01(4-x2)+44-x2dx =∫014-x24-x2dx+∫0144-x2dx =∫014-x2dx+4∫0114-x2dx Here  ⇒∫a2-x2…