Chapter 11.1, Problem 12E

1. (a) Determine -1). + 2x2 dx (b) Determine + 2x2 dx

11. Find m/B. (4r + 11/ (6x - 15)

Evaluate using Algebraic Substitution: x2 dx (x² –a²)³/2 2 -a²+a + C 1 + In |- x²_q² +x + In + C x²-a² a None of the choices. Please refer to my solution. In -| + C a Vz²+a? 72-a2+x

22. (9+x) dx is equal to 3x a. (2+ Arctan) + C 3x b. -³+ Arctan an) + c C 54 3x (2+ Arctan) + C 3x d. -³+ Arctan) + C

3 2.) fx³ (4+x²)² dx ; Use rationalizing substitution

Q7. please explain clearly

Exercises: Differentiate the followings 1. y = (2x2 -4x + 1)60 2. y =- (2x5-7) 3. y = (x + 3)³ (x2+2)2 3 4. y = 3 5. y = e*²-2x 6. y = ekx 7. f(x) = (6x² + 7x)4 8. g(t) = (4t2 – 3t + 2)-2 9. f(t) = (5+ e 4t+t') 10. y = In(1 – 5x² + x³) 11. y = In(x2 + 4x³) |

Q# Which of the following is equivalent to: xarctan(5x)dx= x² A) 2 - dx - arctan(5x)-J5(1+25x*) 2(1+25x²) 5x B) xarctan(5x) – |- (1+25x²) 5.x? C) - arctan(5.x). 2 2(1+25x²) 5x? D) arctan(5x)+ 2(1+25x²) E) None

What's X?