More Rules of Integration

• A

• B

• C

• D

• A

• B

• C

• D

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

∫ 6 x (x² +1 )² dx

• ( x² + 1)³ + C
• 3 ( x² + 1)³ + C
• ( x² + 1)¹ + C
• 6 ( x² + 1)³ + C

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

• ln(2x²+6) + C
• ln(2x²+6)(4x) + C
• 1/(2x²+6) + C
• 1/(2x²+6)² + C

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

What should be used for u in the integral?

• no u needed
• 4t²
• t³
• 1/4t²

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

•  $x^{-1}\ +\ x^{-2}+\ c$  

•  $x^0\ -\ x^{-1}+\ c$  
  

•  $\ln x+\ x^{-1}+\ c$  

•  $\ln x-\ x^{-1}+\ c$  

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

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

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

•  $5x^{\frac{1}{3}}-4e^{-4x}+1+C$  

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

• Got lazy with fake answers

 $\int0dx$  

•  $\frac{1}{x}+C$  

•  $Not\ Possible$  

•  $x+C$  

•  $C$  

Find the partial fraction decomposition.

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Tags

CCSS.HSA.APR.D.6