3X +|l dx X² - X-LO

Q: 9x2 dx (x + 1)3

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Q: d [x² +1] dx x4 d dx -[(x² + 1)5⁰]

A: Topic = Derivative

Q: dx -3 x(x+1)

A: We know, ∫dxx-a=ln(x-a)

Q: x dx 2)√√√27+6x-x²

A: Given, ∫ x27+6x-x2dx

Q: a) x² – 2 dx - 2 dx b)

A: (a) We know that subtracting a constant from infinity results in infinity. Also when doing improper…

Q: 6. dx (x2 + 2x + 2)²

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Q: (x²-2x+11)dx (x²+3x-4) .2. r2.

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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: 3 5x3 4 6 /x ) dx Find - x4

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Q: 3x (d) / dx x2 – 2x + 2

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Q: (2x³-9x²+2) dx from x = 6 to x = 11

A: Given: ∫2x3-9x2+2dx   from x=6 to x=11

Q: e2x (x3 - 2) x(3e5x +1) 52. f(x) = %3D

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Q: 2x2 + 3x – 3 dx X - 9

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Q: 2x ²-11)dx x3+3x²-4

A: To evaluate the integral.

Q: x+3 dx. 2x -7

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Q: 2x + 1 Evaluate dx x2 - 7x + 12

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Q: e2" – e5r dr dx b)] Jx (1 + x) + e3r

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Q: 5x dx (x² + 3)2/3

A: We will use a substitution to solve the equation.

Q: (c) Evaluate 0 √3x - x² dx.

A: Given: I=∫033x-x2dx   As we know that; ∫cosax+bdx=1asinax+b+C

Q: (а) / х V2х — 1 dx (b) dx e4x +1

A: (a) Given data:   The given integral is: Assume 2x-1=t and differentiate it with respect to x.…

Q: (d) : 2x² – 8x – 13 dx x² – 5x – 6 2.

A: As per company rules we can answer only first question and rest can be reposted

Q: (a) f dx 2 √3x-x²

A: To Evaluate:    ( a ) ∫03 dx3 x - x24  ( b)  ∫0∞ 3-3 x3 dx

Q: 3x² + 2x t 3 dx と 20

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Q: [3f(x) + 5g(x)] dx.

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Q: x2 dx (9-x²)3/2

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Q: (iv) S: (1-x²)z dx x8

A: Given:

Q: please asnwr

A: The given integral is ∫x31-x2dx. We have to evaluate the given integral. Here we use the integration…

Q: 1 dx -x2-4х+ 12 X.

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Q: ム× dx (x2+1) (3x-2)

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Q: -2x 6. A) Find dx 2x 1.

A: We have to find derivative

Q: |(r +x² +x+1)(3x* +4x° + 6x² + 12x + 1) dx (x3

A: Use the substitution method and simplify the integration first then integrate.

Q: 9x3 - 3 x + 1 dx x3 – x2

A: Given integral,…

Q: g3 +5x²+9x+7 dx dæ Evaluate x²+5x+4

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Q: ( x" - 4x* + X +1 dx X² -4 10.

A: ∫x4-4x2+x+1x2-4dx=∫x2x2-4+x+1x2-4dx=∫x2x2-4x2-4+x+1x2-4dx=∫x2dx+∫x+1x2-4 dx=x33+∫x+1x+2x-2 dx

Q: X dx 2-1

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Q: x2 dx 1-2x3

A: Since you have asked multiple questions, I will solve the first question for you. If you want…

Q: (3) | x² dx х* -16 2 X

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Q: X+2 √4x-x² 16. S dx

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Q: 5x2 dx (x – 3)(x + 2)²

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Q: X-1 dx -x² - 4x- 2

A: Given, ∫x-1-x2-4x-2dx  We have to integrate it

Q: x-6x-4 dx x+2

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Q: f. √₁²√x (x − 2x² + 1) dx -

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Q: V1+x3 –dx r-2

A: ∫1+x33x-2 dx∫x2.1+x33 dx13∫3x2.1+x33 dx13∫3x2.(1+x3)13 dx

Q: dx 2V x3 - 3x x

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Q: x²(3 – 4x)dx 2 -4 |

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Q: Vx² - 9 dx 2 a. x³

A: Given integral, Let us solve the integral by integration by parts. Finding du by the derivative…

Q: (f(x² + 3x)) dx

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Q: r 5x² – 3x + 18 dx aln b - clnd x(9 – x²) 12.

A: