spain-selectividad 2017 Q4

spain-selectividad · Other · selectividad__madrid_matematicas-II_ordinaria 2 marks Integration by Substitution Substitution to Evaluate a Definite Integral (Numerical Answer)

Given the function $f ( x ) = \frac { x ^ { 2 } + x + 6 } { x - 2 }$, it is requested:
a) ( 0.5 points) Determine its domain and vertical asymptotes.
b) ( 0.5 points) Calculate $\lim _ { x \rightarrow \infty } \frac { f ( x ) } { x }$.
c) (1 point) Calculate $\int _ { 3 } ^ { 5 } f ( x ) d x$.

Given the function $f ( x ) = \frac { x ^ { 2 } + x + 6 } { x - 2 }$, it is requested:

a) ( 0.5 points) Determine its domain and vertical asymptotes.

b) ( 0.5 points) Calculate $\lim _ { x \rightarrow \infty } \frac { f ( x ) } { x }$.

c) (1 point) Calculate $\int _ { 3 } ^ { 5 } f ( x ) d x$.

Paper Questions

Q1 Q2 Q3 Q4