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

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Integration by substitution, by parts and by partial fractions JEE MCQs on Goodmarks include 5+ multiple-choice questions with correct answers and step-by-step solutions. Attempt free samples below or unlock the full bank with Pro.

Master Integration by substitution, by parts and by partial fractions through exam-style multiple-choice questions. This page features 5+ JEE MCQs covering Integration by substitution, by parts and by partial fractions, each with verified answers and clear explanations.

Syllabus context

Part of Integral Calculus in JEE Main Mathematics.

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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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JEE Main tests Integration by substitution, by parts and by partial fractions through conceptual and numerical MCQs. Goodmarks mirrors this format with four-option questions and detailed solutions.

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