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Formula Sheet

Basic Mathematics — Formula Sheet

JEE Advanced · Physics

Free Basic Mathematics formula sheet for JEE Advanced Physics 2026 — all important formulas, equations, and constants for quick reference.

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A graph comparing the shapes of natural logarithm (ln x) and common logarithm (log10 x) functions, showing their general behavior and common intercept at (1,0).
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Formula Sheet — Basic Mathematics

Important formulas and equations from Basic Mathematics for JEE Advanced Physics.

Formulas — Basic Mathematics

Logarithms

log(ab) = log a + log b
log(a/b) = log a − log b
log(aⁿ) = n log a
log₁₀ y = 0.4343 ln y

Trigonometry

sin²θ + cos²θ = 1
1 + tan²θ = sec²θ
1 + cot²θ = cosec²θ
sin 2θ = 2 sin θ cos θ
cos 2θ = cos²θ − sin²θ = 2cos²θ − 1 = 1 − 2sin²θ

Differentiation

d/dx(xⁿ) = n xⁿ⁻¹
d/dx(ln x) = 1/x
d/dx(eˣ) = eˣ
d/dx(sin x) = cos x; d/dx(cos x) = −sin x
d/dx(tan x) = sec²x; d/dx(cot x) = −cosec²x

Integration

∫xⁿ dx = xⁿ⁺¹/(n+1) + c, (n ≠ −1)
∫(1/x) dx = ln|x| + c
∫sin x dx = −cos x + c; ∫cos x dx = sin x + c
∫eˣ dx = eˣ + c
∫sec²x dx = tan x + c; ∫cosec²x dx = −cot x + c

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Frequently Asked Questions

What topics are covered in Basic Mathematics for JEE Advanced?
Basic Mathematics is an important chapter in JEE Advanced Physics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Logarithms, Trigonometry, Differentiation, Integration.
How important is Basic Mathematics for JEE Advanced?
Basic Mathematics is a frequently tested chapter in JEE Advanced Physics. Questions from this chapter appear regularly in previous year papers. There are 45 practice questions available for this chapter.
How to prepare Basic Mathematics for JEE Advanced?
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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