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Integral Calculus MCQs for JEE

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Integral Calculus JEE MCQs on Goodmarks include 20+ multiple-choice questions with correct answers and step-by-step solutions. Attempt free samples below or unlock the full bank with Pro.

Master Integral Calculus through exam-style multiple-choice questions. This page features 20+ JEE MCQs covering Integral as an anti-derivative, Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions, Integration by substitution, by parts and by partial fractions, Integration using trigonometric identities, and more, each with verified answers and clear explanations.

Subtopics in Integral Calculus

  • Integral as an anti-derivative
  • Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions
  • Integration by substitution, by parts and by partial fractions
  • Integration using trigonometric identities
  • Evaluation of simple integrals of standard algebraic/trigonometric forms
  • The fundamental theorem of calculus, properties of definite integrals
  • Evaluation of definite integrals
  • Determining areas of the regions bounded by simple curves in standard forms

Free sample questions

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Q1MathsUnit 8: Integral Calculus
Evaluate: ∫12log⁡xdx\int_{1}^{2} \log x d x
Q2MathsUnit 8: Integral Calculus
If In=∫0π/4tan⁡nxdx,I_{n}=\int_{0}^{\pi / 4} \tan ^{n} x d x, then 1I2+I4,1I3+I5,1I4+I6,…\frac{1}{I_{2}+I_{4}}, \frac{1}{I_{3}+I_{5}}, \frac{1}{I_{4}+I_{6}}, \dots are in
Q3MathsUnit 8: Integral Calculus
∫(e5log⁡x−e4log⁡xe3log⁡x−e2log⁡x)dx=\int\left(\frac{e^{5 \log x}-e^{4 \log x}}{e^{3 \log x}-e^{2 \log x}}\right) d x=
Q4MathsUnit 8: Integral Calculus
n→Lt∞[n+1n2+12+n+2n2+22+…+\boldsymbol{n} \stackrel{L t}{\rightarrow} \infty\left[\frac{\boldsymbol{n}+\mathbf{1}}{\boldsymbol{n}^{2}+\mathbf{1}^{2}}+\frac{\boldsymbol{n}+\boldsymbol{2}}{\boldsymbol{n}^{2}+\mathbf{2}^{2}}+\ldots+\right. n+nn2+n2]=\left.\frac{\boldsymbol{n}+\boldsymbol{n}}{\boldsymbol{n}^{2}+\boldsymbol{n}^{2}}\right]=
Q5MathsUnit 8: Integral Calculus
If ∫f(x)log⁡(sin⁡x)dx=log⁡[log⁡sin⁡x]+c\int \frac{\boldsymbol{f}(\boldsymbol{x})}{\log (\sin \boldsymbol{x})} \boldsymbol{d} \boldsymbol{x}=\log [\log \sin \boldsymbol{x}]+\boldsymbol{c} then⁡f(x)=…\operatorname{then} f(x)=\dots
Q6MathsUnit 8: Integral Calculus
Three solid cubes of sides 1cm,6cm1 \mathrm{cm}, 6 \mathrm{cm} and 8cm8 \mathrm{cm} respectively are melted to form a new cube. Find the surface area of the cube so formed.
Q7MathsUnit 8: Integral Calculus
Draw the graph of straight line y=y= −2x+3.-2 x+3 . Use your graph to find the area between the line and co-ordinate axes.
Q8MathsUnit 8: Integral Calculus
Evaluate the following as the limit of sum : ∫02(x+4)dx\int_{0}^{2}(x+4) d x

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Frequently asked questions

What type of Integral Calculus MCQs appear in JEE?

JEE Main tests Integral Calculus through conceptual and numerical MCQs. Goodmarks mirrors this format with four-option questions and detailed solutions.

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Aim for at least 50–100 MCQs per subtopic. Goodmarks has 20+ questions for Integral Calculus to build speed and accuracy.

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Yes. Each MCQ shows the correct option, final answer, and a step-by-step explanation after you submit.

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