Antiderivatives and Particular Solutions

What is an antiderivative?

• The opposite of a derivative
• The same as a derivative
• A second derivative
• It always represents velocity.

Find the antiderivative of
x²

• (1/3)x³+C
• x³
• (1/3)x³
• 2x

Find the antiderivative of
4x-7

• 4 +C
• 2x²-7x+C
• x²-7x + C
• 8x² + C
  

When do you add C when finding antiderivatives?

• Always
• Sometimes
• Never

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

∫ 4 dx

• 0
• 4t + C
• 4x + C
• 2x² + C

Tags

CCSS.HSF.IF.A.2

Evaluate the indefinite integral.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.A.1

Evaluate the indefinite integral.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.A.1

Evaluate the indefinite integral.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.A.1