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Mathematics · JEE

Integration by substitution, by parts and by partial fractions Short Tricks for JEE

3+ syllabus-aligned questions available

Quick answer

Short tricks for Integration by substitution, by parts and by partial fractions work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

Use these Integration by substitution, by parts and by partial fractions shortcuts to save time in JEE Mathematics papers — then validate speed with 3+ MCQs on Goodmarks.

Short tricks for speed

  • Integration by substitution, by parts and by partial fractions focus drill

    Solve 15 mixed MCQs for Integration by substitution, by parts and by partial fractions, review every explanation, and note formulas you hesitated on.

  • Calculus substitution scan

    Spot standard forms (sin²x, 1/(a²+x²), e^ax) before integrating — JEE rewards pattern recognition.

  • Graph sketch shortcut

    For coordinate geometry, mark intercepts and asymptotes first; many MCQs need only qualitative graph features.

Syllabus context

Part of Integral Calculus in JEE Main Mathematics.

Free sample questions

Attempt 3 free MCQs for Integration by substitution, by parts and by partial fractions. Unlock the full bank with Pro.

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Q1MathsUnit 8: Integral Calculus
x+2x3−x=\frac{\boldsymbol{x}+\mathbf{2}}{\boldsymbol{x}^{\boldsymbol{3}}-\boldsymbol{x}}=
Q2MathsUnit 8: Integral Calculus
∫(tan⁡10x+tan⁡12x)dx=\int\left(\tan ^{10} x+\tan ^{12} x\right) d x=
Q3MathsUnit 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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Frequently asked questions

Are short tricks enough for Integration by substitution, by parts and by partial fractions in JEE?

No — tricks complement concepts. Master the theory first, then use shortcuts in timed MCQ practice.

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