Integration by Parts In this case you will often be successful if you take u to be the function whose category occurs earlier in the list and take dv to be the rest of the integrand The acronym LIATE will help you to remember the order The method does not work all the time, but it works often enough to be useful. Example 3 Evaluate

Q: 1 Sxsec - Svdu- Using Integration By Parts, >x tan x- u v- Find UV-

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Q: sin- dx 32 cos:주-Scos)+기+ c 35 32 + C COS 7 4 32 32 .coss(수)+C 32 cosS 4 35 Ssin +2 +c

A: The correct option is (3).

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Q: s-8 3. (s-3)(s²+2s+17)

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Q: S sin(2x) dx

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Q: Consider . x2 +2x- 10 2 2 (2x + 4) +1 dx evaluate dx = x² (x² + 4x + 5) (2x+4) +1 dx - x² + 4x +5 -…

A: Topic = Integration

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Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

A: This question can be solved using the concept of rate of change of physical quantities.

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Q: 80 Σ k k=41

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Q: 1. Suppose the odometer on our car is broken and we want to estimate the distance driven over a 30…

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Q: Evaluate the integral da (8r +4)' 4)3 by making the appropriate substitution: u= dr (8r + 4)°

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Q: /x²+4x – 5 dx Using trigonometric substitution, ƒ (8) dô. x+2 Find the new limits of integration.…

A: Given:        ∫14x2+4x-5x+2dx=∫abfθ dθ         =∫14x+22-9x+2 dx      Apply u-substitution.…

Q: 5x (x² +a) dx is In +eTan-1X The resulting integral of + C, where a, b, d, and e are integers. What…

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Q: Scots x csc?x dx esc" x - csc", -7csc x + 5csc esc" x +csc" x -csc? x + C x csc³x 1 X + c³ x + C 1 1…

A: Solve by integration method

Q: Ssin(x)cos(2x)sin(3x) dx O sin(6x) sin(2x) , sin(2x)cos(4x) 24 + 8 8 sin(3x)cos(3x) , sin(2x)cos(2x)…

A: We need to evaluate integral.

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A: Solve the given

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Q: 2) Convert the following rectangular equations to polar equations. a) x² - y = 3y b. 9xy = 1

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Q: 2х — 1 dx x² – 6x + 18

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Q: .3 onsider the indefinite integral a - Va + 9 dr: This can be transformed into a basic integral by…

A: Given query is to transform the integral in u and du format.

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Q: dx + (1 – x²)cot y dy = 0

A: Given problem :- dx + (1-x2 )cot(y) dy = 0 Find the general solution of given differential equation

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

Q: Sam) sin |cos dx O32 coss 35 -5cos? + C 32 cos 32 cos + C 4 7 5 32 cos 35 5sin? +2+ C O 32 7( x), 32…

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Q: 14. Find the third order Taylor polynomial T3(x) of the given function at the given point. (a) S(1)…

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

Q: Find the average value of f over the given rectangle. f(x, y) = 2x2y, R has vertices (-5, 0), (-5,…

A: Let's find.

Q: 2. y-10 4. y=-7x+10 6. y=-2x + 3x

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: хdу — ydx — Vx? — у?dx 3D о

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Q: x² + x +2 dx - x2 – 1 Evaluate (х-1)2 + C x+1 x+ In- x+1 In- + C (x – 1)2 (x – 1)2 In- X+1 x+1 +C x+…

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Q: ху x+

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A: integration

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A: Here, the given function for the price is: p(x)=10-x2

Q: 2) f(x) =f"(x) 3 x+7

A: Use simple differentiation formula.

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