1. J x + 2)* dx A. (x + 2)6 + C О А о B о B. 6(x + 2)6 + C (x+2)6 6 + C

Q: 1) Use the Substitution Method to find f 12x (3x² + 4) dx . O 20(3x^2+4)^10 +C O 0.2(3x^2+4)^10 +C…

A: The given integral is 12x(3x2+4)9.

Q: [ (ax + b) c+b) dx = ○ / (ax + b) ² + C O O4a ¹ª (ax + b) ² + C O4a (ax + b)² + C O4 (ax + b) + C 7a

A: You must have basic idea about indefinite integral in order to understand this better.

Q: 6x-25x+8x+43x--8x-12 (3x4-11x3 +9x²-11x+6) (9x² +12x+16) + C(3x+2)+D 9x²+12x+16] Find f - [Ax+B x²…

A: Given integral is      (1) Its reduction is ∫Ax+Bx2+1+C(3x+2)+D9x2+12x+16dx We can write it as…

Q: √√7+X + find x + 2-X + 14-5X-x2 = x + 2 x+9

A: We need to solve the equation: 7+x+2-x+14-5x-x2=x2+x+9.

Q: (2x) y (2x+4) (3y+8) 7. mZP = mZR = %3D R.

A: Some Properties of Cyclic Quadrilateral In a cyclic quadrilateral, all the four vertices of the…

Q: ƒ(5x² + 4x³ − 2x + 1)dx 이름 +2 -를 +a + C 5 2 O x5 x5 + x²-x²+x+C O 20x5 + A O 20x³ + 12x² −2+ C…

A: Given, ∫(5x4+4x3-2x+1)dx

Q: - 9x - 24 (x + 4)(x + 1) Evaluate ·S -dx + C

A:

Q: Differentiate y O 1 4x +2 = x(x-1) (2x²(x + 1)) 3(x-1)²(x²+2x+1) 8x² + x 2 2 O3(x-1)² (3x²-1) 8(x² +…

A:

Q: (-4a b)(-3a'b) 6a'b? 9. +16a?

A:

Q: Evaluate ak+2 if ap

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Q: 16 Evaluate x1² (x4 – 2x² + 1)²dx. - 81

A:

Q: S (x + 7)dx 15x²+x-2 A. In 2 (3x-1)3 (5x+2) +C B. In 3 (3x-1)2 (5x+2)3| +C C. ln (3x-1)³ || (5x+2)3…

A:

Q: Evaluate f(2x² + 3x + 1)5 (8x + 6) dx

A:

Q: L4 for x2+1 고 on [-2,2]

A:

Q: (x²9) Lim X→3 (X+3)

A: To calculate

Q: /x + 3 + 4 – x > - 3

A: Answer

Q: 2 S²3 (x²-3x+18) 9x-X³

A:

Q: 17. Evaluate: √4x² - 4x + 5 dx A. √4x² - 4x +5 +In(2x+1+√4x² - 4x + 5) + C 8. √4x² - 4x…

A:

Q: a) 1 (x-1)(x+2)(x+4)

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Q: Evaluate O √x(1+x²) dx 2 x1/2 1 2x¹/2 O O 2,2/3 3 O 3x²/3 2 + 2x¹/2 + C x1/2 + +C 2 2x5/2 5 5x5/2 -…

A: Note: Every options given by the question are incorrect. I am 100% sure about it.  The correct…

Q: Evaluate x²(x³ +9)¹/² dx 2 +9)³/2 +C Nia O (x² +9) ³/2 +C O C(x² +9)³/2 O x³ +9+C

A:

Q: S(in 6x) dx x (In 6x)2 - 2x (In 6x) +c x (In 6x)2 - x (In 6x) + x + C <(In 6x)2 - 2x х (in 6x)2 + 2x…

A:

Q: 1. 2x - 1 2x - 3 X x + 1 2x + 1 2x² - x - 3 = 0

A: Given equation:- 2x-12x-3-xx+1-2x+12x2-x-3=0

Q: Find the quotient of x4 −3x3 + 3x2 −3x + 2  by x2 −3x+ 2.

A:

Q: 1. Expand the brackets a. X(x+2) b. X2(x+x2) c. 3x(x-y) d. 4x2(2-3x) e. X3(1+2x -x2) f.…

A: We can solve this by properties of power of polynomials xm*xn = xm+n

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

A: Given that: (b) y=exx2(c) y=cosx2+1(d) y=2x2x+1 The quotient rule of derivative is…

Q: 4. (4x + )(4x - ) +

A:

Q: 2.x2 + 2x + 9 dr J (x – 2)(x² + 4x + 9)

A:

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: 3x+4x+4 x(x?+1)

A:

Q: tind y 3 O y=(++ y =9tan 4 ® y= x (2x+1) (4) %3D 1-VX

A:

Q: 50 (x²+2x +1) (**ャリ 100

A: We need to find limx→∞x2+2x+150x2+1100 Now, if we have x+yn, then we can factor out xn in the…

Q: (9x – 10x – 4x2 + 2x) – (4x° – 9x* + 2x² – 6) O 5x* + 9x* – 10x³ – óx? + 2x + 6 O 5x° – 9x* – 10x³ -…

A: The given expression is: (9x5-10x3-4x2+2x)-(4x5-9x4+2x2-6)

Q: бх2— 2х +5 dx? 2х + 1

A:

Q: Evaluate the following x4 + 4x³ + 7x² + 17x – 9 -dx | 1. x3 + 2x2 – 3.x

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