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Mathematics · JEE

Evaluation of definite integrals Short Tricks for JEE

6+ syllabus-aligned questions available

Quick answer

Short tricks for Evaluation of definite integrals work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

Use these Evaluation of definite integrals shortcuts to save time in JEE Mathematics papers — then validate speed with 6+ MCQs on Goodmarks.

Short tricks for speed

  • Evaluation of definite integrals focus drill

    Solve 15 mixed MCQs for Evaluation of definite integrals, review every explanation, and note formulas you hesitated on.

  • Calculus substitution scan

    Spot standard forms (sin²x, 1/(a²+x²), e^ax) before integrating — JEE rewards pattern recognition.

  • Graph sketch shortcut

    For coordinate geometry, mark intercepts and asymptotes first; many MCQs need only qualitative graph features.

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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Frequently asked questions

Are short tricks enough for Evaluation of definite integrals in JEE?

No — tricks complement concepts. Master the theory first, then use shortcuts in timed MCQ practice.

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