Antiderivative (Integration) UPDATED Day 2 (including 1/x = lnx

What is an antiderivative?

• The inverse of a derivative

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

What does C represent in an antiderivative?

• A variable
• A constant that could have turned 0 when differentiated

• None of these
• zero

Find the antiderivative of
x²

• (1/3)x³+C
• x³
• (1/3)x³
• 2x

• = 0

∫(4 - 18x)dx

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

∫(4 - 18x)dx

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

∫ t⁶ dt

• 6t⁵
• 6t⁵ + C
• 1/7 t⁷ + C
• t⁷ + C

Find the antiderivative of
4x-7

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