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Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions Revision for JEE

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Revise Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions by covering every subtopic once, drilling formulas, then solving 4+ timed MCQs with full solutions.

Use this Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions revision checklist before mocks and the final exam. Reinforce concepts with 4+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Core idea: Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions
  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 Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions definitions and standard results
  6. 6.Solve 20 timed MCQs for Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions

Syllabus context

Part of Integral Calculus in JEE Main Mathematics.

Free sample questions

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Q1MathsUnit 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=
Q2MathsUnit 8: Integral Calculus
STATEMENT - 1: The volume of largest sphere that can be carved out from cube of side a cm is 16πa3\frac{1}{6} \pi a^{3} STATEMENT - 2: Volume of sphere is 43πr3\frac{4}{3} \pi r^{3} and for largest sphere to carved from cube radius of sphere == side of cube
Q3MathsUnit 8: Integral Calculus
A hollow spherical shell is made of metal of density 4.8g/cm3.4.8 \mathrm{g} / \mathrm{cm}^{3} . If its internal and external radii are 10cm10 \mathrm{cm} and 12cm12 \mathrm{cm} respectively, find the weight of the shell
Q4MathsUnit 8: Integral Calculus
Assertion If a>0a>0 and b2−4ac<0.b^{2}-4 a c<0 . then the value of the integral ∫dxax2+bx+c\int \frac{d x}{a x^{2}+b x+c} will be of the type μtan⁡−1(x+AB)+\mu \tan ^{-1}\left(\frac{x+A}{B}\right)+ C;C ; where A,B,C,μA, B, C, \mu are constant. Reason f(a>0,b2−4ac<0, then ax2+bx+f\left(a>0, b^{2}-4 a c<0, \text { then } a x^{2}+b x+\right. cc can be written as sum of two squares.

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How should I revise Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions before JEE?

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

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