riemann sums and integration

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

∫(4 - 18x)dx

• F(x) = -18

• F(x) = 4x - 9x²

• F(x) = 4x - 9x² + C

• F(x) = (4 - 18x)² /2 + C

∫ - sinx dx

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

∫cosx dx = 

• -secx + C
• secx + C
• sinx + C
• -sinx + C

Evaluate.

• ln x³ + C

• ln 3x + C

• 3x² + C

• 3x^-2 + C

• 3x^-1 + c

Integrate:

• x^1/2 + C

• ¹/_(2√x) + C

• ³/₂*x^3/2 + C

• ²/₃*x^3/2 + C

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

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