AP Calculus BC Review Sheet 1

Equals

• _a∫^c f(x)dx

• _a∫^b f(x)dx

• _b∫^c f(x)dx

• _c∫^a f(x)dx

• Volume using Disks
• Volume using Washers
• Volume using Shells
• Volume using Cross-Sections

Equals

• _d∫^cf(x)dx

• - _d∫^cf(x)dx

• f(d) - f(c)

• f(c) - f(d)

• Volume using Shells
• Volume using Disks
• Volume using Washers
• Volume using Cross Sections

Solve the Initial Value Problem

• Volume using Washers
• Volume using Disks
• Volume using Shells
• Volume using Cross Sections

• c⋅f(x)
• c⋅f '(x)
• c⋅f '(x) + c⋅f(x)
• c⋅f '(x) - c⋅f(x)

Equals

• ∫ f(x)dx

• cx∫ f(x)dx

• c∫f(x)dx

• (1/c)∫f(x)dx

• f '(x)⋅g(x) + f(x)⋅g'(x)
• f '(x)⋅g(x) - f(x)⋅g'(x)
• [f '(x)⋅g(x) + f(x)⋅g'(x)] / [g(x)]²
• [f '(x)⋅g(x) - f(x)⋅g'(x)] / [g(x)]²

• Mean value theorem
• Rolle's theorem
• Intermediate Value Theorem
• Fundamental Theorem of Calculus