The general antiderivative determined by - x² - 3x +2 is dx

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Q: Solve the given DE: 2ydx=3xdy, when x-2, y=1. O y=(x/2)^(2/3) O y=(x/2)^(1/3) O y=(x/3)^(2/3) O…

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Q: Find - 6x+1 x² +1 -dx.

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Q: Find the antiderivtive: 10x6+ 8x + 9 x8

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Q: 1. Find 2(3z + 4)² dz.

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Q: 2. [x² √x + 1 dx

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Q: Use the substitution u = :) 2x to evaluate dx 4x² +1

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Q: x2+1 - dx x4-x²+1

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Q: 7x2 + 15 dx. x2 + x Compute f

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Q: nd the antiderivative x² + 2x -dr. (r² + 1)'

A: Put x2=t then integrate.

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Q: Determine the antidifferentiation of (3xc + ed - (4/x)) dx  (where c; d are real numbers and c does…

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Q: Show that (xcos(2x)dx=. A-2 8

A: LetI=∫0π4xcos2xdxPut 2x=udifferentiate on both side2dx=dudx=du2As x→0 then u→0As x→π4 then…

Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: Find the most general antiderivative. dx

A: Given,           ∫1x5-x5-13dxTo find : The antiderivative of the given function.

Q: 4x(4-x2)1/2  Find the antiderivative

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Q: 1 3. Evaluate dx, using substitution method. 2

A: The given integral is: ∫1xx+12dx I=∫1xx+12dx    -1

Q: Evaluate x(x2 + 1)3 dx.

A: Given ∫x(x2+1)3dx

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Q: ] = ²P (£ + 29 + +) 7 Find(+6e+3) dz

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Q: Evaluate х2 + 2х — 1 х3 — х

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Q: 2x² − x +4 x³ + 4x Evaluate [ [20 dx.

A: Evaluate

Q: Find dy for y = (4x +2)2. dy = (Simplify your answer.)

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