Topic explanation

Standard explanation

Choose u for an inner expression whose derivative is also present, change the whole integral, then substitute back.

Key points

• Integration by substitution
• rule
• worked example
• Integration by substitution: Choose u for an inner expression whose derivative is also present, change the whole integral, then s
• CONCEPT AND RULE: Choose u for an inner expression whose derivative is also present, change the whole integral, then s
• METHOD: For integration by substitution, identify the given information and required result. Select the matc
• Choose u for an inner expression whose derivative is also present, change the whole integral, then substitute back.
• Worked pattern: Integral 2x(x²+1)³ dx=(x²+1)^frac44+C.

Labelled diagram