General Anti-derivatives (indefinite integrals)

What is an Antiderivative?

• The inverse 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

∫ 4 dx

• 0
• 4t + C
• 4x + C
• 2x² + C

• 1/x²+C
• x²+C
• -1/x²+C
• C

• -sec x + C

• sec x + C

• tan x + C

• tan² x + C

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

• -csc x + C
• csc x + C
• -tan x + C
• tan x + C

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

• sin x + C
• tan x + C
• sin² x + C
• -sin x + C

Tags

CCSS.HSF.TF.B.7

 $\int t^2\left(3t+5\right)dt=....$  

•  $\frac{3}{4}t^4+\frac{5}{3}t^3+c$  

•  $3t^4+\frac{3}{5}t^3+c$  

•  $\frac{3}{4}t^3+\frac{5}{3}t^2+c$  

•  $9t^2+10t+c$