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Evaluation of definite integrals Revision for JEE

6+ syllabus-aligned questions available

Quick answer

Revise Evaluation of definite integrals by covering every subtopic once, drilling formulas, then solving 6+ timed MCQs with full solutions.

Use this Evaluation of definite integrals revision checklist before mocks and the final exam. Reinforce concepts with 6+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Core idea: Evaluation of definite integrals
  2. 2.Relates to other subtopics in Integral Calculus
  3. 3.Integration by substitution, parts, partial fractions
  4. 4.Definite integrals and properties
  5. 5.Master Evaluation of definite integrals definitions and standard results
  6. 6.Solve 20 timed MCQs for Evaluation of definite integrals

Syllabus context

Part of Integral Calculus in JEE Main Mathematics.

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
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]=
Q4MathsUnit 8: Integral Calculus
Evaluate the following as the limit of sum : ∫02(x+4)dx\int_{0}^{2}(x+4) d x
Q5MathsUnit 8: Integral Calculus
If In=∫0π4tan⁡nxdx\boldsymbol{I}_{n}=\int_{0}^{\frac{\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}} are in?
Q6MathsUnit 8: Integral Calculus
∫1002014x2114−x+xdx=\int_{100}^{2014} \frac{\sqrt{x}}{\sqrt{2114-x}+\sqrt{x}} d x=

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How should I revise Evaluation of definite integrals before JEE?

Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.

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