Integration Review

 $\int_{ }^{ }\ \frac{1}{x}+\ \frac{1}{x^2}\ dx$  

•  $x^{-1}\ +\ x^{-2}+\ c$  

•  $x^0\ -\ x^{-1}+\ c$  
  

•  $\ln x+\ x^{-1}+\ c$  

•  $\ln x-\ x^{-1}+\ c$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

 $\int6x\left(x+2\right)dx$  

•  $6x^2+12x+C$  

•  $x^{2\ }-2x+C$  

•  $3x^2+6x+C$  

•  $2x^3+6x^2+C$ 

Tags

CCSS.HSA.APR.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.

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $\int e^{3x}dx$  

•  $e^{3x}+C$  

•  $\frac{e^{3x+1}}{3x+1}+C$  

•  $\frac{e^{4x}}{4}+C$  

•  $\frac{1}{3}e^{3x}+C$  

 $\int4\sin\left(-x\right)dx$  

•  $4\cos\left(x\right)+C$  

•  $-4\sin\left(-x\right)+C$  

•  $4\cos\left(-x\right)+C$  

•  $-4\cos\left(-x\right)+C$  

 $\int\left(5\sqrt{x^3}-16e^{-4x}+\frac{1}{x}\right)dx$  

•  $2x^{\frac{5}{2}}+4x^{-4x}+\ln\left|x\right|+C$  

•  $5x^{\frac{1}{3}}-4e^{-4x}+1+C$  

•  $\frac{5}{2}x^{\frac{3}{2}}-16e^{-4x}+\ln\left|x\right|+C$  

• Got lazy with fake answers

 $\int_{ }^{ }\sec^2\ 5x\ \ dx\ \ =$  

•  $\tan\ x\ \ +\ c$  

•  $\frac{1}{5}\tan\ x\ \ +\ c$  

•  $\frac{1}{5}\tan\ 5x\ \ +\ c$  

•  $\frac{1}{5}\tan^2\ 5x\ \ +\ c$  

Tags

CCSS.HSF.TF.B.7

∫e^xsin(e^x+6) dx

• -cos(e^x+6) + C
• cos(e^x+6) +C
• sin(e^x+6)+C
• e^2x/2

 $\int\ \frac{2}{x+3}dx^{ }=$  

• 2ln|x+3| + c

• 2ln(x + 3) + c

•  $\frac{1}{2}\ln\left|x\ +\ 3\right|\ +\ c$  

• none of these

Tags

CCSS.HSF.BF.B.5

∫cos(4x+5)dx

• -¼sin(4x + 5) + C

• 4sin(4x + 5) + C

• ¼sin(4x + 5) + C

• 4cos(4x + 5) + C

Tags

CCSS.HSF.TF.C.9