Vos-x 4 64 – X -dx

Q: x2 -dx Vx² + 18

A:

Q: x2-3x+1 i) S xln²xdx and ii) S7 dx. (x+2)(x2+1)

A: Given: ∫x ln2 (x) dxFormula: (ln (x))'=1x∫ x dx=x22+C

Q: 1 |(12x5 - 11)dx -1

A: ∫-1112x5-11 dx

Q: 9. Evaluate -2x +9x-1 dx (x² – 2x +1)(x +2) -

A: Solve the problem using partial fractions

Q: x3-27 dx 2. ズ-3

A:

Q: Evaluate the integral

A: int (3x2-25x+43)dx/((2x+1)(x-2)2) =int (3x2-12x+12-13x+31)dx/((2x+1)(x-2)2)  =int…

Q: (2х+3) dx (x2+3х-6)9

A: ∫2x+3(x2+3x-6)9dx=∫(x2+3x-6)-9 (2x+3) dxusing formula∫fn(x) f'(x)dx =fn+1(x)n+1+chere, f(x)=x2+3x-6…

Q: 6. 1 -dx x3 4

A: We have to find integration and we have to substitute limits later.

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: 2x2 - x + 4 dx. x3 +4x Evaluate

A: ∫2x2-x+4x3+4x  dx

Q: 6x + 7 -dx. (x +2)2

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Q: (iv) S х2 +3х-1 dx x3-1

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Q: x³ +2x .3 dx x2+1

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Q: V2/2 -3x2 dx 1 – x²

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Q: 4x2 -6 dx. x - 4x2 Evaluate

A: Consider the given integration as ∫4x2-6x3-4x2dx

Q: cosh 3x-1 S - dx 2

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Q: x² - x + 12 dx x3 + 2x

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Q: dx J-16x 398. dx x|/4x* -16 402.

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Q: 11. f -dx 3x+1 +4x

A: these 2 questions are not related to each other so according to bartleby guidelines I need to solve…

Q: Vx2 –9 a x2 dx

A:

Q: 2x ²-11)dx x3+3x²-4

A: To evaluate the integral.

Q: 2х - 3 -dx. (b) Evaluate 3x? -9x+1

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Q: f3xcos(4-x*)-8xV4=x² dx s(4-x²)-8x/4-x² dx —:

A: Let us solve the integral using substitution method in the next steps.

Q: Evaluate / x²+2r+3 -dx (x-6)(x²+4)

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Q: 2. 7ー dx - 2. 7-X 3

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Q: 3. (x³-x²)7 dx x2

A: As per the question we are given a indefinite integral, which we have to find out. And to do that we…

Q: x² - 4 S √3x² +18x+27 dx

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Q: 1 dx -x2-4х+ 12 X.

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Q: 2 x -dx 6. Jo 1-x

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Q: frese f'(-5x + 4) dx

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Q: sinh x 20. 1x1-3 A) 2. B)-2. D) 0.

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Q: 6. f 2x³sin (3x) dx

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Q: V22 -7x dx Jo V1 – x2

A: Given

Q: ∫  x2-2x-10  / (x-1)2(x+2) dx

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Q: 6 x -dx („² + 1 ) (2x - 2)

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Q: 4x3-3x+5 If 13x+5 dx , then f (0) = x²-2x x²-2x,

A: Given : ∫4x3-3x+5x2-2xdx=∫fx+13x+5x2-2xdx Objective is to find the fx and then value of fx at x=0

Q: .5 X° +2x -Xp- X +1 -3 X° + 2x -dx%(Simplify your answer.) %3D X +1 3.

A: Consider the integral

Q: cosh (x – 3) dx 8 – cosh² (x – 3) 18. 12

A:

Q: V4- V4-x dx 11.

A: Solution of question as follows

Q: Evaluate I 6 dx 3-2X -x2

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 4x + 1 dx Jx3 + 3x2 - 6х -36 2.

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Q: x2 - 9 dx x3

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Q: 18 (x² +9) (x+3) -dx

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Q: YOUR TURN 3 x + 1 Find dx. (4x² + 8x)³

A: We need to evaluate the integral. We will make use of the substitution: 4x2 + 8x = u Hence, (8x + 8)…

Q: (x5—6х4-2х2-Зx+4)dx Q2: х2+2

A: This question is based on simple integration

Q: x2 - dx. x -5 Evaluate (no calculator):

A: