Do Now- Basic Integration

Integrate  $\sqrt{x}$  with respect to x

•  $x^{\frac{1}{2}}+c$  

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

•  $\frac{2}{3}x^{\frac{3}{2}}+\ c$  

•  $\frac{3}{2}x^{\frac{3}{2}}+\ c$  

 $\int5x^4dx$  

•  $x^5$  

•  $\frac{5}{4}x^5+C$  

•  $x^5+C$  

•  $20x^3$  + C

 $\int\left(x^2-2x\right)dx$  

•  $\frac{1}{3}x^3-x^2+C$  

•  $x^{2\ }-2x+C$  

•  $2x-2$  

•  $\frac{1}{3}x^3-x^2$ 

Tags

CCSS.7.EE.A.1

 $\int6x\left(x+2\right)dx$  

•  $6x^2+12x+C$  

•  $x^{2\ }-2x+C$  

•  $3x^2+6x+C$  

•  $2x^3+6x^2+C$ 

 $\int\left(\frac{1}{x^2}+\frac{6}{x^3}\right)dx$  

•  $-x^{-1}-3x^{-2}+C$  

•  $\frac{x^{-3}}{-3}+\frac{6x^{-4}}{-4}+C$  

•  $-x^{-1}-3x^{-2}$  

•  $-x-3x^2+C$  

Tags

CCSS.7.EE.A.1

What is an antiderivative?

• The opposite of a derivative
• The same as a derivative
• A second derivative
• It always represents velocity.

What does C represent in an antiderivative?

• A variable
• A constant
• None of these
• Unknown

 $\int\left(x^2-2x\right)dx$  

•  $\frac{1}{3}x^3-x^2+C$  

•  $x^{2\ }-2x+C$  

•  $2x-2$  

•  $\frac{1}{3}x^3-x^2$ 

Tags

CCSS.7.EE.A.1

 $\int\left(6\sqrt{x}-1\right)dx$  

•  $6x^{\frac{3}{2}}+x+C$  

•  $4x^{\frac{3}{2}}-x+C$  

•  $3x^{-\frac{1}{2}}-x+C$  

• I didn't look at my notes to see how to do this one.

 $\int\left(5x^2-7x+6\right)dx$  

•  $\frac{5}{3}x-\frac{7}{2}x+6x+C$  

•  $x+x+x+x+x+C$  

•  $x^3-3x^2+6x+C$  

•  $\frac{5}{3}x^3-\frac{7}{2}x^2+6x+C$