How to Prepare Integration by substitution, by parts and by partial fractions for JEE

Weightage & importance

Integration by substitution, by parts and by partial fractions is a syllabus subtopic under Integral Calculus in JEE Mathematics. Master it as part of the full unit — typically 1–2 related MCQs can appear in combined questions.

Step-by-step study plan

1. Step 1

   Concept review

   Read NCERT or class notes for Integration by substitution, by parts and by partial fractions. Write 3–5 key formulas or facts.

2. Step 2

   Worked examples

   Solve 5 standard problems on Integration by substitution, by parts and by partial fractions before attempting MCQs.

3. Step 3

   Subtopic MCQs

   Attempt 15–25 MCQs on Integration by substitution, by parts and by partial fractions on Goodmarks with solutions.

4. Step 4

   Unit integration

   Mix Integration by substitution, by parts and by partial fractions questions with other Integral Calculus subtopics in timed sets.

Key concepts & formulas to master

• Core idea: Integration by substitution, by parts and by partial fractions
• Relates to other subtopics in Integral Calculus
• Integration by substitution, parts, partial fractions
• Definite integrals and properties

Common mistakes to avoid

• Skipping fundamentals of Integration by substitution, by parts and by partial fractions and jumping to advanced problems
• Missing absolute value in area problems
• Wrong substitution limits in definite integrals

Recommended study sequence

Study as part of Integral Calculus: Immediately after differentiation.

Frequently asked questions