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Formula Sheet

Integrals — Formula Sheet

NEST · Mathematics

Free Integrals formula sheet for NEST Mathematics 2026 — all important formulas, equations, and constants for quick reference.

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Formula Sheet — Integrals

Important formulas and equations from Integrals for NEST Mathematics.

Formulas — Integrals

Basic Integration Formulas

∫xⁿ dx = x^(n+1)/(n+1) + C
∫(1/x) dx = log|x| + C
∫eˣ dx = eˣ + C
∫aˣ dx = aˣ/log(a) + C

Trigonometric Integrals

∫sin x dx = -cos x + C
∫cos x dx = sin x + C
∫sec²x dx = tan x + C
∫tan x dx = log|sec x| + C

Integration by Substitution

∫f(ax + b) dx = (1/a)F(ax + b) + C
∫f'(x)/f(x) dx = log|f(x)| + C
∫[f(x)]ⁿ f'(x) dx = [f(x)]^(n+1)/(n+1) + C

Standard Integral Forms

∫dx/√(a² - x²) = sin⁻¹(x/a) + C
∫dx/(a² + x²) = (1/a)tan⁻¹(x/a) + C
∫dx/√(x² - a²) = log|x + √(x² - a²)| + C
∫dx/√(a² + x²) = log|x + √(a² + x²)| + C

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Frequently Asked Questions

What topics are covered in Integrals for NEST?
Integrals is an important chapter in NEST Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Integration Rules and Standard Forms, Integration by Substitution Method, Integration by Parts, Integration of Rational Functions by Partial Fractions.
How important is Integrals for NEST?
Integrals is a frequently tested chapter in NEST Mathematics. Questions from this chapter appear regularly in previous year papers. There are 750 practice questions available for this chapter.
How to prepare Integrals for NEST?
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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