INTEGRATION

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

∫(4 - 18x)dx

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

Tags

CCSS.HSA.SSE.B.3

∫(3x⁴+2)⁴(12x³)dx

• ½(3x⁴+2)⁴+C
• (3x⁴+2)⁴+C
• ⅕(3x⁴+2)⁵+C
• ⅓(3x⁴+2)⁶+C

Tags

CCSS.HSA.APR.A.1

∫ 2 x (x²- 3)^(1/2) dx

• (x²- 3)^(3/2)+C

• (3/2)(x²- 3)^(3/2)+C

• (2/3)(x²- 3)^(3/2)+C

• (2/3)(x²- 3)^(-1/2)+C

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.REI.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

Integrate  $\int_{ }^{ }3\ dx$  

• = 0

•  $=\frac{3}{x}+c$  

•  $=\ 3x\ +c$  

•  $=4+c$  

Integrate $\int_{ }^{ }x^6dx$  

•  $=6x^5+c$  

•  $=\frac{x^7}{7}+c$  

•  $=6x^6+c$  

•  $=\frac{x^5}{6}+c$  

Integrate $\int_{ }^{ }\left(x^2+7\right)dx$  

•  $=2x+c$  

•  $=x^3+7x$  

•  $=\frac{1}{2}x^3+7x$  

•  $=\frac{1}{3}x^3+7x+c$  

Tags

CCSS.HSA.APR.A.1

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

•  $=\ln2x+c$  

•  $=2\ \ln2x+c$  

•  $=\frac{1}{2}\ln2x+c$  

•  $=\frac{1}{\ln2x}+c$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSF.IF.C.8