Indefinite Integral

What is an Antiderivative?

• The opposite of a derivative

• The same as a derivative

• A second derivative

• It always represents velocity

When do you add C when finding Antiderivatives?

• Never

• Sometimes

• Always

• Seldom

What does C represent in an Antiderivative?

• A variable

• Unknown

• A constant

• None of these

Find the Antiderivative of  $\frac{1}{3}x^3-5x$ .

•  $12x^4-5x^2+C$  

•  $\frac{1}{12}x^4-\frac{5}{2}x^2+C$  
  

•  $\frac{1}{12}x^3-5x^2+C$  

•  $\frac{1}{12}x^4-5x^2+C$  

 Integrate  $\int\left(-20x^3-6x^{-3}\right)dx$  

•  $-5x^4+\frac{3}{x^2}+C$  

•  $-20x^4-\frac{6}{x^2}+C$  

•  $-5x^3+\frac{3}{x^3}+C$  

•  $-20x^4+\frac{3}{2}+C$  

Tags

CCSS.HSA.APR.A.1

∫ 4 dx

• 0
• 4t + C
• 4x + C
• 2x² + C

Tags

CCSS.HSF.IF.A.2

• 1/x²+C
• x²+C
• -1/x²+C
• C

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

• -2 cos(x) + C
• 2 cos(x) + C
• cos(x) / 2 +C
• - cos (x) / 2 +C

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

• -sec x + C

• sec x + C

• tan x + C

• tan² x + C

• cos x + C
• tan x + C
• -cos x + C
• -tan x + C