x2 + 15x - 10 dx = x3 - 4x2 - 5x dx X-5 x+1 Determine the value for A, B, and C.

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: 2 - (4x² – 8x5)(x³ – x6)-8)dx 4х-1

A: Given an integral : I=∫2(4x-1)-4x2-8x5(x3-x6)-8 dx We need to find the integral. Let's begin.

Q: 3V 4x2 - 3 dx;

A:

Q: 6. |x²e-2*dx

A: Solved below

Q: 9. dx 5-4x-x²

A: As per our guideline we are supposed to be answer only one question you can repost other question in…

Q: 2. S (5x-12) dx x³-6x²+8x

A: Given, ∫5x-12x3-6x2+8xdx

Q: 20. [(x²+2x-10/3 (5x+5)dx

A:

Q: (4x3-6х) dx 3. S x*-3x²+2

A: ∫4x3-6xx4-3x2+2dx we know that∫f'(x)f(x)dx = ln|f(x)| +cf'(x) =4x3-6x , f(x)=x4-3x2+2

Q: 2x+3 dx x²+3x-5

A:

Q: 1. f4x-³ dx -3

A: Find the integral

Q: 3. dx (x²+1)² -3 d x XVX +3, dx x2

A: Evaluate the given integrals

Q: d(-2x-1+ 6x7) -2 4x dx (3x5 + 4x) d dx 15x* + 4 3 d 16x dx 1 2 2

A:

Q: Зx3 +6x2+17х-5 dx х2+2х+5

A:

Q: x²-3x - 7 2 (x² + x + 2)(2x - 1) dx

A: Simplifying the given integrand: x2-3x-7(x2+x+2)(2x-1)=x2-3x-72(x2+x+2)x-12

Q: ام 1. ( - 3x2 + 5x - 7)dx

A:

Q: 4 6. √√√√x³ = x²(3x² – 2x) dx -

A:

Q: S- 5e2*dx 9e 4x - 6e2+1

A:

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

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Q: 2x2 + 3x – 3 dx X - 9

A:

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

A: This question is based on indefinite integral.

Q: (4x2-3х+6)dx х (х-2)

A:

Q: 3x+4 dx x²+3x+2

A: Let,I=∫3x+4x2+3x+2dxI=∫3x+4(x+2)(x+1)dxLet…

Q: 4x-2 dx 27x-8

A:

Q: x² - 4 S √3x² +18x+27 dx

A:

Q: (²-1) x(2x* – 2x² +1) dx is equal to 2x* - 2x² +1) x(x² –1) (2x* – 2x² +1) (b) (2x* – 2x² +1) (2x* –…

A: The given problem is to integrate the given function. We can't use standard formulas to solve so we…

Q: 4x2-5х+6, 3. S(*-*+*)d *“)dx x2

A: We have two types of integrals in general, namely definite and indefinite integrals . The definite…

Q: 2х - 3х +1 dx x' +2x2 .3

A: Given, ∫2x2-3x+1x3+2x2dx  We have to evaluate it.

Q: V22 -7x dx Jo V1 – x2

A: Given

Q: 2x + 3 -dx. x2 + 3x + 4

A: To evaluate the integral: ∫2x+3x2+3x+4dx Evaluating the integral. Let substitute t=x2+3x+4…

Q: 1 dx 3. -9x2 – 2

A:

Q: Sv 4. 3-4x² dx

A:

Q: 3. -2x-4 dx x-3 6x 4. (x2-7):/

A: (3).   The given integral is: ∫x3-2x2-4x-3dx

Q: 6 x -dx („² + 1 ) (2x - 2)

A:

Q: + 2r -1 dx (x2 – x – 2)

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

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: SV+1.(*+2x² + x)dx

A: Please see the explanation below

Q: 2x° dx x2-4

A: ∫2x3x2-4dxSubstitute u=x2-4→dudx=2x→dx=12xdu=12∫u+4udu=4∫1udu+∫1du

Q: (ax-2) dx x2+ 2X + 15

A:

Q: 13. dx x5-3

A:

Q: V4.x2 – 9 -dx

A: Solution of question is written in below steps.

Q: 10. √x(x² + 3x-8)dx A. -4 B. -404 105 D. -28 105

A:

Q: 16x4-25 dx equals 5+4x2

A:

Q: X - 5 dx -2x + 2

A:

Q: iii) 4x - 11 dx x3 - 9x2

A:

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

A:

Q: x²(3 – 4x)dx 2 -4 |

A:

Q: (x² - x') 6. Reciprocal Substitution -dx 3

A:

Q: 19. dx 1 Je²x_8 2x -8

A: The solution is given in the next steps.

Q: (x5—6х4-2х2-Зx+4)dx Q2: х2+2

A: This question is based on simple integration