√__(x+1) dx (x+2)(x-1)² 1 9 3 2 0-11/11 - 01/17 9 3 2 3 1 2 9 3 -io 1 9 - = 1[ A B + x+2 x-1 + C (x-1) 2 ]dr dx, the values of A & C respectively are:

Q: (21 + V3)/3 11 dx Evaluate 50 + x - 14x

A: Explanation of the answer is as follows

Q: 2x + 1 (b) √ ² (1 − x) -dx

A:

Q: i = √ √ 3x² (x³ + 1)²³ dx, w= x³+1 Rewrite the Function in terms of u

A: The objective of the question is evaluate the definite integral and rewriting the integral.

Q: 5.[(2√x -3x)² dx

A: Given, ∫2x-3x2 dx

Q: e* (x + 2) (x+3)² dx

A: To evaluate the following integral.∫exx+2x+32 dx

Q: b) (9x²-6x+26) *

A:

Q: 3x-9 dx gi S Vx3-9x-3

A:

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

A:

Q: S(4x3 + 9x² + 4x – 1)dx -

A:

Q: 9x dx VI-9x -/1-9x2 +C -1 arcsin 3x + C + C 3(x3 – 3x)

A:

Q: (√3-3)/6 - (√3+3) /6 12 dx 2 1+ (2x + 1)²

A:

Q: 2х -3 -dx. Evaluate(x-2)(x² + 1)

A:

Q: d dx arctan(11x)

A: We are required to find:

Q: 2х + 1 бх2 + 23х — 9 dx х3 + 2х2 — 3х Ja- 2)(x – 3)² dx

A:

Q: S¥×(2x³ + 1)dx 3,

A:

Q: 1. (a) Determine + 2x2 dx (b) Determine + 2x2 dx

A:

Q: dx 4+x*

A: Proceed as shown below...

Q: 4 12+5X- 14 dx

A:

Q: Determine the following: iffere (a) 10 -5x² - 42x+194 (x+3)(x-8)(x-2) 9 -dx VIM

A:

Q: (x2 - 4x + 4)4/3 dx -

A:

Q: f 2³x dx = O 0 23x In 2 + C ○ 23x+1 + C 3x+1 23x In 8 0 23x ln 2 O + C + C

A: To evaluate: I=∫23xdx

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

A: In the given question we have to calculate the integral ∫3x2+3x-1(x-1)(x2+2x+2)dx. i will directly…

Q: S sec²(3 – 2x)dx

A: ∫sec23-2x dx Put, 3-2x=t⇒0-21=dtdx⇒-2 dx=dt⇒dx=-dt2

Q: 1 x2 - x + 12 x3 + 3x dx

A:

Q: - Trig Sub x5 dx (36x2 + 1)ž

A:

Q: Compute the following. S(24x-8) (24x -8)(6x²–4x – 9)ª dx

A:

Q: хt — х +6 dx х3 + Зх

A: We shall use polynomial long division method to simplify our integrand.

Q: (1 1x +15x* – 17x³ – 6x² + 7x – 4)dx -3

A:

Q: 3- f xvx2 +1 dx

A: Integration

Q: Integrate the following x2(x-4)ex(x-2)

A: find out the integral of x2(x-4)exx-2

Q: 2. 11+√7 dx

A:

Q: (5) Evaluate 75 2x -dx. 5x8

A: