Mathematics · JEE

Integration by substitution, by parts and by partial fractions Previous Year Questions for JEE

2+ syllabus-aligned questions available

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Goodmarks offers 2+ JEE-style PYQs for Integration by substitution, by parts and by partial fractions with detailed solutions. While official past papers rotate yearly, our bank covers the same concepts, difficulty, and question formats tested in JEE Mathematics.

Previous year questions are the fastest way to understand how Integration by substitution, by parts and by partial fractions is tested in JEE. Practise 2+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

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Q1MathsUnit 8: Integral Calculus

\int\left(\tan ^{10} x+\tan ^{12} x\right) d x=

Q2MathsUnit 8: Integral Calculus

\int(\sin x)^{99}(\cos x)^{-101} d x=_{-} \ldots-C_{ }

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Frequently asked questions

Why practise PYQs for Integration by substitution, by parts and by partial fractions?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

Does Goodmarks have actual JEE past papers?

Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Integration by substitution, by parts and by partial fractions, covering the same topics as previous year papers.

How should I use PYQs for Integral Calculus?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

Are PYQ solutions step-by-step?

Yes. Every question includes the correct answer and a detailed explanation showing the reasoning.