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Dummy

Ritesh Raj08 JUN 20265 min read
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## Heading two — the setup

A normal paragraph with bold text, italic text, and a link to doMath. Inline math like a2+b2=c2a^2 + b^2 = c^2 should render mid-sentence.

Heading three — lists

  • Bullet with inline math limx0sinxx=1\lim_{x \to 0} \frac{\sin x}{x} = 1
  • Second bullet
  • Third bullet
  1. First step
  2. Second step
  3. Third step

A blockquote: the test of a good notation is how well it lets you forget it is there.

Some inline code f(x) = x^2 inside a sentence, then a fenced block:

function area(r) {
  return Math.PI * r * r;
}

A centered block equation:

01x2dx=13\int_0^1 x^2\,dx = \frac{1}{3}

A table:

ChapterWeightDifficulty
LimitsHighMedium
IntegrationHighHard
SeriesMediumHard
Exam insight

Use the ILATE rule to pick uu in integration by parts.

Note

This is an info callout — for context and definitions.

Common mistake

Don't forget the constant +C+C when integrating.

Watch out

Never divide by an expression that can be zero.

An image with a caption (swap the URL using the Image button to test upload):

Sample weightage chart
Figure 1: chapter weightage

A hidden solution:

SHOW SOLUTION

By the power rule, x2dx=x33+C\int x^2\,dx = \frac{x^3}{3} + C. Evaluating from 00

to 11 gives 13\frac{1}{3}.

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RR
[ WRITTEN BY ]

Ritesh Raj

Founder and Lead Mentor at IITian Forum. M.Sc Mathematics, IIT Delhi. 500+ students mentored for JEE and Olympiad mathematics.

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