AP Calc HW #87 (6.1)

Determine the integral rule of the given expression:

• cosx + c
• -cosx + c
• ½sin²x + C
• ¹/_√(1-x²) + C

Determine the integral rule of the given expression:

• x^-2 + C
• ^-2/_x³ + C
• ^-1/_x + C
• ²/_x + C

Determine the integral rule of the given expression:

• x^1/2 + C
• ¹/_(2√x) + C
• ³/₂*x^3/2 + C
• ²/₃*x^3/2 + C

Determine the integral rule of the given expression:

• tan^-1x + C
• sin^-1x + C
• ln|1 + x²| + C
• ^-2x/_(1+x²)² + C

Determine the integral rule of the given expression:

• ^-1/_x² + C
• lnx + C
• ln|x| + C
• ^-1/_x + C

Determine the integral rule of the given expression:

• sin^-1x + C
• tan^-1x + C
• cos^-1x + C
• ^-x/_{(1 - x²)^3/2} + C

What is an Antiderivative?

• The opposite of a derivative

• The same as a derivative

• A second derivative

• It always represents velocity