Topic explanation

Standard explanation

For definite integrals, either change limits to u-values or return fully to x before applying old limits.

Key points

• Substitution with limits
• rule
• worked example
• Substitution with limits: For definite integrals, either change limits to u-values or return fully to x before applying old li
• CONCEPT AND RULE: For definite integrals, either change limits to u-values or return fully to x before applying old li
• METHOD: For substitution with limits, identify the given information and required result. Select the matchin
• For definite integrals, either change limits to u-values or return fully to x before applying old limits.
• Worked pattern: Integral₀¹ 2x(x²+1) dx=[u^frac22]₁²=32.

Labelled diagram