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CBSE Class 12 Board Mathematics (041) syllabus: 2 units

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1

Calculus: Integrals & Differential Equations

Part of Calculus: 35 of 80 marks

Standard indefinite forms, definite integral properties, and linear differential equations with integrating factor.

Comprehensive Unit Scope:

Standard indefinite forms, definite integral properties, and linear differential equations with integrating factor.

Sub-Topics & Theorems (3):
Integration by Partial Fractions & Trigonometric Identities
Definite Integrals with Modulus & Piecewise Limits
First Order Linear Differential Equations ($dy/dx + Py = Q$)
Core Formula Benchmark:
I.F.=e∫P dx,y⋅I.F.=∫(Q⋅I.F.) dx+C\text{I.F.} = e^{\int P\,dx}, \quad y \cdot \text{I.F.} = \int (Q \cdot \text{I.F.})\,dx + C
Launch Calculus: Integrals & Differential Equations Studio
2

Vectors & Three Dimensional Geometry

14 of 80 marks

Direction cosines/ratios, skew lines shortest distance, and vector equations.