Integration by Subsititution

Integration by Subsititution

• Integration by substitution simplifies the calculation of integrals with complex functions.
• The technique is used when the antiderivative of a function is unrecognisable or involves inner functions.
• The process starts with identifying a suitable substitution in the integrand that simplifies the function.
• The chosen part of the function is represented by ‘u’ and its derivative du/dx is calculated.
• The integral is then rewritten in terms of ‘u’, with the chosen part and its differential being replaced, simplifying the evaluation of the integral.
• After calculation, ‘u’ is replaced with the original x-expression to obtain the final result.
• Mastery in this technique is crucial for solving complex integration problems and is valuable in higher-level mathematics and related fields.