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Application Of Integrals — Formula Sheet

NATA · Mathematics

All important formulas from Application Of Integrals for NATA Mathematics. Quick reference for revision and problem solving.

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A comparison showing how elementary geometry can calculate areas of regular shapes (rectangle, triangle, circle) using fixed formulae, but is inadequate for irregular, curved shapes, which require the
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Formula Sheet — Application Of Integrals

Important formulas and equations from Application Of Integrals for NATA Mathematics.

Formulas — Application Of Integrals

Basic Area Formulas

A = ∫[a to b] f(x) dx
A = ∫[c to d] f(y) dy
A = |∫[a to b] f(x) dx|

Area Between Two Curves

A = ∫[a to b] (f(x) - g(x)) dx
A = ∫[c to d] (f(y) - g(y)) dy
A = ∫[a to c] (f(x) - g(x)) dx + ∫[c to b] (g(x) - f(x)) dx

Standard Area Results

Area of ellipse = πab
Area under one arc of sin ax = 2/a
Area = (b² - 4ac)^(3/2)/(6a²)

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Frequently Asked Questions

What topics are covered in Application Of Integrals for NATA?
Application Of Integrals is an important chapter in NATA Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Area Under Simple Curves, Area Between Two Curves, Special Cases and Important Results, Problem-Solving Strategies.
How important is Application Of Integrals for NATA?
Application Of Integrals is a frequently tested chapter in NATA Mathematics. Questions from this chapter appear regularly in previous year papers. There are 189 practice questions available for this chapter.
How to prepare Application Of Integrals for NATA?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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