Topic explanation

Standard explanation

Differentiate an indefinite answer, estimate sign and size, and verify limits for definite work.

Key points

• Checking an integral
• rule
• worked example
• Checking an integral: Differentiate an indefinite answer, estimate sign and size, and verify limits for definite work.
• CONCEPT AND RULE: Differentiate an indefinite answer, estimate sign and size, and verify limits for definite work.
• METHOD: For checking an integral, identify the given information and required result. Select the matching de
• Differentiate an indefinite answer, estimate sign and size, and verify limits for definite work.
• Worked pattern: d[(x²+1)^frac44]/dx=2x(x²+1)³.

Labelled diagram