[e2" + 2**]dx

Q: 2 3 -x³ dx 10

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Q: | 2(x - 1)(x5 - 6x + 9)-5 dx

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Q: 9) Find 5-2x - dx

A: Given: Find d2dx25-2x for finding second derivative, we find first derivative then find derivative…

Q: Prove : (x2 + 2x + 2 )dx > 0

A: The given integral is ∫-10x2+2x+2-x2dx The integral has been rewritten∫-10x2+2x+12x2dx Apply…

Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E)…

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Q: x3-27 dx 2. ズ-3

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Q: бх-7 7. S dx (2х+1)(4x2+1)

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Q: 3 how that S 5x(1 – x²)² dx = 1

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Q: 27. ·√ √(x + 2√1-x²) dx _28. [₂ (2+√9 − x²) dx -3

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Q: •5 b) 3 -dx x – 3

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Q: -33e* – 105 -dx e2x + 8ex + 15

A: Here we use partial fraction method to solve the integral.   We know ∫1x+adx=ln(x+a)+C ln(ex)=x…

Q: 5 ,2 X |x² + x – 6| dx -5

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Q: 5. Evaluate. |2x – 4| dx -

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Q: 3-S(1+ x²)e=*dx

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Q: Ln(x²) = [In(x)] ²

A: As per our Company Guidelines we are supposed to answer only one question at a time. Kindly repost…

Q: n/3 sec23x 8. n/4 2+4tan 3x dx

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Q: S x²-x +2 -X X³ + 4x -dx

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Q: 1. [(4-x) dx. -2

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: dx 1- S 4+x2

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Q: 4. (2 - x)² In(4x) dx

A: Value of question (4) is 27ln(12)-21ln(4)-269 see below the calculation As per bartleby guideline I…

Q: 2. S (2x-5)dx x2-5x+3

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Q: 1-x 362. dx; u = 3x-x 3x-x'

A: As per bartleby guidelines I need to solve only one .So, please repost the 2nd question separately…

Q: 2-5x-x2 dx (x2-x-6)(x+2)

A: This question is based on indefinite integral.

Q: dx. 4-x² Evaluate IN

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Q: (4 - e3 dx

A: We have to calculate the given indefinite integral

Q: True or False: If 3 dx%In|x-3|+B In|x+2|+C (x-3)(x+2) 2 then B =

A: true find integration use partial fraction

Q: 22 Evaluate S- dx. 3/2 +1

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Q: S(2-x) In(4x)dx

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Q: • 4 13х + 12 -dx x2 + 3x 3

A: ∫3413x+12x2+3x-4dxApplying completion of squares:=∫3413x+12x+322-254dxSubs u =…

Q: | (2x-1) In(5x) dx A) (x2 - x)In 5x - x2 + 2x + C 2 B) x2 - x)in 5x - +C x2 5x - X2 + x + C 4 D) x2…

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Q: 1- (x².e2). dx

A: First integrate the function: ∫x2e2xdxIntegrate by parts: ∫fg' = fg-∫f'ghere f=x2, g'=e2xf' = 2x,g…

Q: 2x+5 - dx- (x² – 1)(x+2)

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Q: -3 In (x) dx

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Q: by3 (3b² – x²)(1 – x5V3)/3b² – x² dx - -

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Q: -dx. Evaluate ſ &-3)(x*-1) ,. х2-2х-3

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Q: 14 Approximate (x2 - 3) dx using 4 rectangles. 2

A: Solution -    Given Integral is -  y=∫214(x2-3)dx    Now we have to evaluate the value of the…

Q: 3 = 4- 2y + - dx

A: The differential equation is,   The figure below represents the vector field of the differential…

Q: x² +x-2 -dx can be resolved into (x2-1)(2x-x²)

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Q: ∫[(1/ (x2√(4 - x2))) dx] Please show all work

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Q: Transforming S dx secx + 1 using miscellaneous substitution

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Q: S(2-x)° In (4x)dx

A: Given the integral  I = ∫132-x2 ln (4x)dx = ∫13x-22 ln (4x)dx To evaluate the integral:-

Q: 25-9x2 -dx- x2

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Q: Find (x + 2)e3* dx

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Q: Evaluate ∫x3 √(1 - x2) dx using a u-substitution

A: It is given that,∫x31-x2dx     We have to evaluate using a u-substitution.

Q: 25 - x2 dx

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Q: 5. s(x²-x)² 5. x² – dx - 2x + In|x| + C x3

A: First open the numinator term then distribute the integration sign  and then integrate ..   Actually…

Q: Compute x1+ x² dx 3

A: Given,           ∫01x1+x23dx

Q: 2. 16-x dx 2.

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Q: So-3x)e-3*dx 3.

A: