Integration Using Known Areas

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 does C represent in an antiderivative?

• A variable

• A constant

• None of these

• Celsius

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

∫(4 - 18x)dx

• F(x) = -18
• F(x) = 4x - 9x²
• F(x) = 4x - 9x² + C
• F(x) = (4 - 18x)² /2 + C

INTEGRATE

• A
• B
• C
• D

  ∫₁³ 5x² dx

• a. 43
• b. 130/3
• c. 40
• d. 19/3

∫₁² (3x² + 4x³)dx

• a. 24
• b. -8
• c. -10
• d. 22

Evaluate the definite integral.

• 3
• 9/2
• 9
• Not possible

• 12/3
• 6.5
• 5.5
• 11/3