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Integral Calculus Mock Test for JEE

20+ syllabus-aligned questions available

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A Integral Calculus JEE mock test on Goodmarks lets you attempt 20+ timed MCQs with instant feedback. Use it to benchmark speed, accuracy, and readiness for JEE Main Mathematics.

Simulate exam conditions with a Integral Calculus mock test. Attempt 20+ timed MCQs, check your score instantly, and review every solution to close gaps before the real exam.

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

How long should a Integral Calculus mock test take?

For a topic-level test, aim for 20–30 minutes. For a full subject mock, allow 60–90 minutes to mirror JEE timing.

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Aim for 70%+ accuracy initially, then push toward 85%+ as your exam date approaches. Review explanations for every wrong answer.

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