Math Chapter 11 - Revision

 $\int x^3+x+2\ dx$  

•  $\frac{x^2}{2}+x+c$  

•  $\frac{x^2}{2}+x+1+c$  

•  $\frac{x^4}{4}+\frac{x^2}{2}+2x+c$  

•  $\frac{x^3}{3}+\frac{x^2}{2}+1+c$  

 $\int x^2+2x\ dx$  

•  $x^3+100x+c$  

•  $2x^{ }+c$  

•  $\frac{x^3}{3}+c$  

•  $\frac{x^3}{3}+^{ }x^2+c$  

 $\int5\ dx$  

• 0

•  $5x+c$  

• 5

• -5

 $\int\sqrt{x}+6\ \ dx\ \ \ \ \ Hint:\ \sqrt{x}\ =\ x^{\frac{1}{2}}$  

•  $\frac{2}{3}x^{\frac{3}{2}}+6x+c$  

•  $\frac{3}{2}x^{\frac{3}{2}}+\frac{x^2}{2}+x+c$  

•  $\frac{1}{2}x^{\frac{1}{2}}+\frac{x^2}{2}+x+c$  

•  $\frac{2}{3}x^{\frac{3}{2}}+\frac{x^2}{2}+c$  

 $\int_{-1}^1\ x^3\ dx$  Use your calculator to evaluate

• 0

• 1

• 2

• 3

Which of the following is an indefinite integral

• $\int_0^1\ x\ dx$

• $\int_0^2\ x\ dx$

• $\int2x+1\ dx$

• $\int_0^4\ x^2+4x+3\ dx$

Which of the following is an definite integral

•  $\int\ x\ dx$ 

• $\int_0^2\ x\ dx$

• $\int2x+1\ dx$

•  $\int\ x^2+4x+3\ dx$ 

 $\int100\ dx$  

•  $100x+c$  

•  $2x+c$  

•  $0$  

• None

The power rule for integration is

• $\int x^ndx\ =\ \frac{x^{n+1}}{n+1}+c$

• $\int x^ndx\ =\ \frac{x^n}{n}+c$

• $nx^{n-1}+c$

• None

 $\int_0^2\ x+1\ dx$  

(a)