If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)

Q: -2 4x³ – x² + 2x+15 dp- -3 (x- 1)2(x² +4x+5)

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Q: 17x-6 - dx x² -x² - 6x 2.

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Q: 2 3 -x³ dx 10

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Q: See attached

A: Given derivative is,

Q: Find 3 3x3 3 2Va ) dx - x5

A: here we have to find the integration of given function. the solution is following.

Q: 8,1 CLASSWORK a.) 4x dx 2x +3 1-

A: To evaluate the given definite integral.

Q: 3) 2dx 2dx (3x+12x-15)호 x(3(\nx)"+1지lnz-15)호

A:

Q: 2 cosh x +losion2x = 5

A: I am attaching image so that you understand each and every step.

Q: -2 4– x² dx -2

A: To find the value of given definite integral.

Q: бх-7 7. S dx (2х+1)(4x2+1)

A:

Q: 3 how that S 5x(1 – x²)² dx = 1

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Q: If f'lx)=4x³+ 3x²+1 and fe)=S, what is feoi)?

A: Given,            f'x=4x3+3x2+1 and f1=5To find : f-1

Q: 5. Use the substitution method to evaluate So 3x²+2 x3 + 2x +37 dx.

A: Topic = Integration

Q: Evaluate: 3x-7x 1- S dx 3x+2

A: The solution follows as:

Q: Find 1 SC + sec²6x + 9)dx: e3x None -3x tanbx + 9 x + c 6 -3 -3x tan3x + 9 x + c 6 -3 e-3x tanbx +9…

A: We can solve the given integral .

Q: . Find f 6x5-25x*+8x3 +43x2-8x-12 (3x-11x3+9x2-11x+6)(9x2+12x+16) dx if this can be reduced to…

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Q: 2x +9 Find- , if y = dx x-5x+1

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Q: Evaluate S (2x+3) dx x² (x²+1)

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Q: Find dy 3 2. -3x

A: Given that, f(x)=x3-3x We have to find derivative of the given function.

Q: FindS( 3x- 2x3 + 4x2 – 5x + 2) dx | |

A: We have to solve above question  And find integral

Q: 7- Find fx³√3 - 2x² dx

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Q: 2 d 3)[(3x2 – 4x +7)(5x³ – 9x)®] dx - -

A: Here we apply u.v rule of multiplication in derivative

Q: . 2 28x -15x dx 4x + 7. +C %3D

A:

Q: Integrate: S (4z° S (4x² – 3x + 1)* (8x – 3) dæ

A: Integrate above equation by substitute.

Q: 3. fx²(9-x³)5 dx 4. J√4x-1 dx

A:

Q: -4x2 + 21x + 10 - dx = J C x3 + 10x2 x + 10

A: To find the value of A,B,C can be found by comparing by the decomposed fraction which gives…

Q: Show that dx =に 3+ Vx x3/2 – 3x + 18VX- 54 In (3 + V) +C

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Q: 2.2 Find 4.9x |- 2 ++ xp VX _口 d ( 2.2 - 2 4.9x dx x

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Q: | In (x²- 2x-8) dx 5. ら

A: Explanation of the answer is as follows

Q: -10x4-9x3-48x2- 13x-48 dx - (x³ + 2x)(2x² + 3)

A:

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

A: See the attachment

Q: Compute 6x3 + 4x2- 7x + 40 dx. x2 7. 80 + C x2 40 3x2 + 4x- 7In|x| + + C O 18x2+ 8x-7+C 2x 40 O 3x2…

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Q: 3r² + 10x + 7) In (z²+3) dz

A: I am attaching image so that you understand each and every step.

Q: Evaluate. (4x + 5x²) dx -2x dx 8. 9. dx 10. -5 for x 2

A: To evaluate: ∫-12(4x+5x2)dx Solution: We know, ∫xn=xn+1n+1+C    ..(1) Here, ∫-12(4x+5x2)dx On…

Q: 0, x< 2 3c, 2<x<4 f(x) = {5c, 4sx<6

A: The cumulative distribution function is given. It is also given that , P3&lt;x≤6=29. a. To determine…

Q: Find 2 / 9-4x² 2 9-4x² dx. dx =

A:

Q: 5) Evaluate x2n-1e-kx² dx

A: Gamma Function: Γ(n)=∫0∞tn-1 e-t dt And Γ(n)=(n-1)!

Q: 1. Show that | (4x - 6x + 1)dx = (4x3 - 6x + 1)dx + (4x3 – 6x + 1)dx

A: Given ∫154x3-6x+1dx=∫134x3-6x+1dx+∫354x3-6x+1dx

Q: A - 3 In 1x³ 3x²1+C BIn 1x³ 3x²1+ C x²–2x x3 3x² C dx In 1x³ 3x²1+C In 1x³ 3x²1+ C -

A: The given integral,    ∫x2-2xx3-3x2dx

Q: - فم( (x² – 4)²dx 6. -2 10x4 x3 1 + 15Vx3 – 7) dx 7. 2 3 dx 2x° + x4 8. 1 | (2x + 1)(x – 1) dæ - 9.…

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Q: 11 7 -4 dx = V7x + 5 7

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Q: 2 Evaluate || dx +4x+3

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Q: Find for 7x3 + 4y = 3y² dx

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Q: Find S 6+ 3x + 4 dx x2+1

A: Solution:

Q: Show that 5x – 2 3 + C X - 1 dx = 5 In |x - 1| x2 – 2x + 1

A: We have to solve

Q: Show that d (x3 Inx -국x) 3) = 3x² In x dx

A: Hi! You have posted multiple question. So, we will be solving only the first question as nothing is…

Q: 5, S₂(4 - 2x)dx

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Q: -5x dx А. 3 V2x2 – 1

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: 9, (x2 + 2x - 5) dx

A: