7 Calculate (6x + x²) dx, given the following. 8 7 218 dx = 3 7 169 dx%3D 3 x xdx = 12 5 7 (6x + x?) dx = D 5 (Type an integer or a simplified fraction.)

Q: So 1 x²+7x+10 A. B. C. D. 3ln 2-ln 2 3 3ln 2+ln 2 3 3ln 2-ln 2 5 3ln 3-ln 2 3 dx

A: The given integral, ∫011x2+7x+10dx use the integral formula, ∫dxx=ln x+C

Q: 16x (x* + 1) 7. dx = (A) 3 (824/3 – 1) 16 - 814/3 (B) (C) 4 (824/3 – 1) 64 814/3 (D) 3 3

A:

Q: 1 L(2x² – x³)dx 4 12 b. 7 С. d. None of the above の|n a.

A:

Q: :1 S* d(x³). 3

A:

Q: 7. Find the following: 1 | [8f(x) – 3g(x)] dx

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Q: D) Find S e5x+2 dx

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Q: Which of the following is 1ln x dx? (a) 1/x + C (b) x . ln x - x + C (c) 1/2 . (ln x)2 + C

A: Evaluate ∫1lnx dx. Apply by parts law of integration: ∫fg dx=f∫g-∫f'∫g Let f=ln x and g=1 ∫1lnx…

Q: B. Evaluate the following .5 S lx? -x-6|dx - x - 6|dx -5 1.

A: We need to evaluate integral,  NOTE - As per Bartleby's guidelines we can solve only 1 question from…

Q: S (28*_ 4 e²_ 1) 2) dx |

A:

Q: 6. Evaluate: cin 4 a) (4x – 3) dx c) S* 2e* dx b) L, x²(-2x³ – 3)* dx d) ƒ dx e) S,(x + 1)(x² + 2x +…

A: (6) (a)To evaluate ∫254x-3dx Solution:…

Q: 1. Find the following: (a) ſ 16x-3dx (b) ƒ 9æ*dx 9x®dx (c) [(x³ – 3x)dx

A: (a) Evaluate the given integral as follows. ∫16x-3dx=16∫x-3dx=16x-3+1-3+1+C=16x-2-2+C=-8x2+C…

Q: Q1. Evaluate by substitution method 2 e*dx 1 – e2x |

A:

Q: 1. S (5æ4 – 8x3 + 6x2 4а + 7) dx - 1 3 r ( 4x 3 + x 2 dæ 2.

A: Given: I=∫(5x4−8x3+6x2−4x+7)dxI=∫4x13+13x32dx

Q: 2dx x (3(ln x)2 + 12 In r – 15)

A: Indefinite Integration

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: B. Evaluate the following .5 2 -x-6|dx 5 1. 1 dx 2. | 2tan(x)dx 3. 3 dx

A: As per bartleby guidelines we only give first three question answers.

Q: 2 Evaluate [(4x' –6x) dx O a. 6 O b. 0 O C. -4 O d. 1

A:

Q: 2/2 dx Evaluate: Vx² – 4 Round your answer to the nearest hundredth.

A:

Q: find x³ dx x? – 2x + 1 x³ dx 18. 17. x² + 2x + 1 x² dx dx 19. 20. (x – 1)(x² + 2x + 1) (x² – 1)²

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: 1.557 B) In (x) dx + | (2 – x) dx 1.557

A: Given : The equations of the curves are y = ln (x) and y = 2 - x and about x - axis.

Q: Integrate the following fraction: 1. S dx 2x2+12x+32

A: Given : (1) Integral  of function               f(x) = 1/ ( 2x2 + 12x + 32 ) dx

Q: 5а4 + 5а3 + 8а? + 8х + 10 dx. ,2 x +1

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Q: e (5) Į 1 dx xVln x

A:

Q: dx 16. S 9x2-4 |3x+2 A. In +c B. In D. tn +C + C + C |3x+2 |3x+2| 3x-2

A: This is basic integration problem

Q: Determine the value of 6 L 9f (x)dx given that "f(x)dx = -7 11 9,

A:

Q: d b) [ 4e*(In x) ] dx

A:

Q: S(x² +8√√x + 3e* ) dx = 2

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Q: Evaluate 3 [³ X x² - 1 dx. Note: If the answer is not an integer, round your answer to three decimal…

A: Given, ∫23xx2-1dx

Q: 4 Calculate |3x dx, given the following. 7 4 4 7 37 dx = xp. 3 4 x dx = 3.5 xdx = 93 | 3 3 4 3x dx =…

A:

Q: 2. Evaluate x² dx (x-1)(x² + 4x + 5)

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Q: -1 √ x²(3 – 4x) dx - -4 318 338 358 378 None of the Above 14 √√1 + 7x dx 25 -1 0 35

A:

Q: .3 1 dx =? 2 x2- 4x+5 A 1+ 1 4 B 1+ 4 D 4

A: topic - definite integral

Q: 2x²+4X+10 2 2- x Ina dx |

A: We use completing square method in question 1 and use Trigonometry substitution method  in question…

Q: 13x + 13 dx. (x+ 2)(x2 + 9) Question 4 Evaluate

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: If 5 5 f(x) dx = 4 and 2 Š² f(x) dx + O -2 O 10 O 2 0 0 4 g(x)dx? g(x)dx = 6, what is

A: Given

Q: 3. * Sx² e** dx 1. pAx (8x? + 4х 1)+с C esx (8x? - 4х + 1) +С 16 16 1. 1. e** (8x2 + 4x - 1) + с 32…

A:

Q: 1²-29x + 5 dx (d) / (z − 4)² (z ² + 3) d (x

A:

Q: Determine the following: a. S(2x³ – 5x2 + 10x – 1) dx Vx2 + 7 1 8 b. S 2x+1 dx - x4

A:

Q: B4. Evaluate the integral [(3x² - ª ++5 x -6) 4 +5 /x – 6) dx .

A:

Q: 29. Evaluate the following (a) S (2) 3x+9 dx 23+3x2-x-3 (b) S 2x/3 – x²dx (c) S In(x +3)dx |

A: As per bartleby guidelines we are supposed to answer only 3 subparts of a question. This question…

Q: Integrate the following: S (3x³ – 2x + 7)e²-*dx 2-3x a)

A:

Q: Find the formula for df-1/dx. (x) %3 (2 - х)3 О А. -3(2-х)2 В. х2/3 1 OC. 3x2/3 O D. 2-x1/3

A: we have givenf(x) =(2-x)3 we need to find f-1(x) first

Q: 7 then d'y 21 True or False: If Y = 5x° + . 100x3 x!/2 dx? 4x 2 True False

A: Given problem:-

Q: 2* Q3. Evaluate +1_5*-1 dx 10*

A: Given ∫2x+1-5x-110xdx evaluate the given integral

Q: 4 — V16 — 9г? In 4 1 1 dx х V16 — 9х? + c 3x

A:

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

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Q: [x³ In 4x dx A) _ x4nux - A x +C oA nixt dx4+c 4x 16 B) In 4x xr…x4.C D) =xAndx- +x4+C

A:

Q: 4. h. If ff(x)dx = 12 and [f (x)dx = 3.6 , find [2f(x)dx 1 4 1

A: Simplification of the integration helps to find the required value. If the integral is given then…

Q: rlog 2 Vex – 1 dx -2 S, x8Vx2 – 1 dx x² x8 dx (a? Loc2)7

A: Sol