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Online Practice: Integration by substitution, by parts and by partial fractions for JEE

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Goodmarks provides free online JEE practice for Integration by substitution, by parts and by partial fractions with 5+ MCQs, instant answer checking, and full solutions. Sign up to unlock the complete question bank and topic-wise filters.

Sharpen your mathematics preparation with interactive online practice for Integration by substitution, by parts and by partial fractions. Goodmarks offers 5+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

Syllabus context

Part of Integral Calculus in JEE Main Mathematics.

Free sample questions

Attempt 5 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
∫cos⁡x−cos⁡3x1−cos⁡3xdx=\int \sqrt{\frac{\cos x-\cos ^{3} x}{1-\cos ^{3} x}} d x=
Q3MathsUnit 8: Integral Calculus
∫(tan⁡10x+tan⁡12x)dx=\int\left(\tan ^{10} x+\tan ^{12} x\right) d x=
Q4MathsUnit 8: Integral Calculus
∫(2x+1)(x2+4x+1)32dx\int \frac{(\mathbf{2} \boldsymbol{x}+\mathbf{1})}{\left(\boldsymbol{x}^{2}+\mathbf{4} \boldsymbol{x}+\mathbf{1}\right)^{\frac{\mathbf{3}}{\mathbf{2}}}} \boldsymbol{d} \boldsymbol{x}
Q5MathsUnit 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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How do I practice Integration by substitution, by parts and by partial fractions online for JEE?

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Goodmarks currently has 5+ JEE-aligned MCQs for Integration by substitution, by parts and by partial fractions, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including Integration by substitution, by parts and by partial fractions.

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