Antiderivatives

∫(4 - 18x)dx

• F(x) = -18
• F(x) = 4x - 9x²
• F(x) = 4x - 9x² + C
• F(x) = (4 - 18x)² /2 + C

∫ 4 dx

• 0
• 4t + C
• 4x + C
• 2x² + C

Tags

CCSS.HSF.IF.A.2

∫ x(x² - 4) dx

• x²/2(x³/3 - 4x) + C
• .25x⁴ -2x² + C
• 3x²- 4 + C
• x⁴ - 4x² + C

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

 $\int_{ }^{ }3x^2+4x\ dx$  

•  $x^3+4x^2+c$  

•  $x^3+2x^2+c$  

•  $\frac{3}{2}x^3+4x^2+c$  

•  $3x^3+4x^2+c$  

 $\int6x^4+3x^2+5x\ +5\ dx$  

•  $5x^5+3x^4+5x^2\ +5x$  

•  $5x^5+3x^3+5x^2\ +5x$  

•  $\frac{6}{5}x^5+x^3+5x^2\ +5x\ +c$  

•  $\frac{6}{5}x^5+x^3+\frac{5}{2}x^2\ +5x\ +c$  

Tags

CCSS.HSA.APR.A.1

Integrate:

• x^-2 + C

• ^-2/_x³ + C

• ^-1/_x + C

• ²/_x + C

Integrate:

• x^1/2 + C

• ¹/_(2√x) + C

• ³/₂*x^3/2 + C

• ²/₃*x^3/2 + C

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

The velocity of an object is given by

 $v\left(t\right)=3t^3-2t^2+1$  . Find the position of the object if s(0)=3 m

•  $\frac{3t^4}{4}-\frac{2t^3}{3}+t+3$  

•  $3t^4-2t^3+t+3$  

•  $\frac{3t^4}{4}-\frac{2t^3}{3}+t$  

•  $9t^2-4t+1$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

∫(4/x - e^x ) dx

• 4ln x - e^x
• 4 ln x + e^x + C
• 4 ln x - e^x + C
• 4/x²  - 4e^x + C

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSF.BF.B.5

Evaluate

 $\int3e^{2x}+5x-2e^3dx$  

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

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

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

•  $3e^{2x}+\frac{5x^2}{2}-2e^3x+C$  

Tags

CCSS.HSA.SSE.A.2