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Important Questions: Integration by substitution, by parts and by partial fractions for JEE

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The most important Integration by substitution, by parts and by partial fractions questions for JEE cover conceptual traps, standard results, and numerical patterns from Integration by substitution, by parts and by partial fractions. Goodmarks provides 2+ high-yield MCQs with full solutions.

Focus on what matters most. These important Integration by substitution, by parts and by partial fractions questions cover high-weightage concepts from Integration by substitution, by parts and by partial fractions — the topics JEE repeats every year.

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Q1MathsUnit 8: Integral Calculus
∫(tan⁡10x+tan⁡12x)dx=\int\left(\tan ^{10} x+\tan ^{12} x\right) d x=
Q2MathsUnit 8: Integral Calculus
∫(sin⁡x)99(cos⁡x)−101dx=−…−C\int(\sin x)^{99}(\cos x)^{-101} d x=_{-} \ldots-C_{ }

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What makes a Integration by substitution, by parts and by partial fractions question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Integral Calculus are high-weightage?

Key areas include Integration by substitution, by parts and by partial fractions. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

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Pro users can filter by unit and subtopic to target high-yield areas. Free users can attempt sample questions on this page.

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