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Formula Sheet

Integrals — Formula Sheet

MHT-CET · Mathematics

Free Integrals formula sheet for MHT-CET 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 MHT-CET 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 MHT-CET?
Integrals is an important chapter in MHT-CET 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 MHT-CET?
Integrals is a frequently tested chapter in MHT-CET 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 MHT-CET?
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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