Topic explanation

Standard explanation

An antiderivative F satisfies F'=f; indefinite integrals require +C because constants differentiate to zero.

Key points

• Antiderivatives and constants
• rule
• worked example
• Antiderivatives and constants: An antiderivative F satisfies F'=f; indefinite integrals require +C because constants differentiate
• CONCEPT AND RULE: An antiderivative F satisfies F'=f; indefinite integrals require +C because constants differentiate
• METHOD: For antiderivatives and constants, identify the given information and required result. Select the ma
• An antiderivative F satisfies F'=f; indefinite integrals require +C because constants differentiate to zero.
• Worked pattern: Integral of 6x dx is 3x^2+C.

Labelled diagram