Antiderivatives

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
  

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?

• Always
• Sometimes
• Never

What does C represent in an antiderivative?

• A variable
• A constant
• None of these
• Unknown

Find the antiderivative of
(1/3)x³-5x

• (1/12)x⁴-(5/2)x²+C
• (1/4)x⁴-(1/2)x²+C
• (1/12)x³-(5)x²+C
• (12)x⁴-(5)x²+C

Tags

CCSS.HSA.APR.A.1

∫(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

∫ 1/x dx

• ln x
• ln x + C
• -1/x²
• -1/x² + C

∫ - sinx dx

• -cos x + C
• cos x + C
• tan x + C
• 1/√1- x²

∫ 3e^x dx

• e^x /3 
• e^x + C
• 3e^x+1/(x+ 1) + C
• 3e^x + C

Tags

CCSS.HSF.IF.C.8