Pregunta: 1. Resuelva: (z + ln(z²))¹ dz a. In 1+1/z+ C b. ln|1+ln(z)| + C c. In 1+ln(z²) | + С d. In 1-In(z)| + C In 1+ln(z²) | + C e. - 2. Resuelva: [s²(1 + s)¯'ds a. 1/² - s + In|1+s] + C b. S s² + s In|1+s + C C. S² + s d. s² e. s² 1 + s + S - In 1+ s + C ln|1+s + C In|1+s + C 6. Resuelva: x¹-x)=1 2- J a. b. de x -=12ln(x) c. x³y² = 1 + 2ln(x) d. (x³y +1)/2-In(x) e

1. Resuelva: (z + ln(z²))¹ dz a. In 1+1/z+ C b. ln|1+ln(z)| + C c. In 1+ln(z²) | + С d. In 1-In(z)| + C In 1+ln(z²) | + C e. - 2. Resuelva: [s²(1 + s)¯'ds a. 1/² - s + In|1+s] + C b. S s² + s In|1+s + C C. S² + s d. s² e. s² 1 + s + S - In 1+ s + C ln|1+s + C In|1+s + C 6. Resuelva: x¹-x)=1 2- J a. b. de x -=12ln(x) c. x³y² = 1 + 2ln(x) d. (x³y +1)/2-In(x) e x³y²=12ln(x) a. dx 7. Resuelva: 2+10y= cos(x) a(x)=eCcos(3x)+C, sen(3x)] + cos(x) + sen(x) b. y(x) = [C, cos(x) + C, sen(x)] + c. y(x)=e' [C, cos(x)+C, sen(3x)]- -1-2ln(x) C. d. y(x)= [C, cos(x) + C, sen(x)] + cos(x) + sen(x) e. (x)=e¹[C, cos(x)+C, sen(x)]-cos(3x)-sen(3x) 8. Determine lim (c, -1)&x en [c, d] e. b. [(d-1) (6d-1)+ (c-1)" (6c-1)] [(d-1)(6d-1)² + (c-1)(6c-1)"] d. [(d-1) (6d-1)-(e-1) (6c-1)] e. [(d+1) (6d+1) (c+1)²(6x+1)] cos(3x)+sen(3x) cos(x) - sen(3x) 9. Halle la solución general de (x² + 4) de a. y=C√x+2 b. y=C√x²+2 cy=C√x²-2 d. y=C√x + 2 y=C√x-2 <- xy-0.