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Hard Integration by substitution, by parts and by partial fractions MCQs for JEE

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Hard Integration by substitution, by parts and by partial fractions MCQs train multi-concept problem solving — attempt after mastering easy and medium sets (5+ on Goodmarks).

Push your limits with hard Integration by substitution, by parts and by partial fractions MCQs designed for JEE Advanced-level thinking. 5+ questions with detailed solutions.

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Part of Integral Calculus in JEE Main Mathematics.

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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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After 70%+ accuracy on medium MCQs and once core formulas are automatic.

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