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CBSE Class 12 Board Mathematics (041)

Calculus: Integrals & Differential Equations

Part of Calculus: 35 of 80 marks

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

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

What this unit covers

  • Integration by Partial Fractions & Trigonometric Identities

  • Definite Integrals with Modulus & Piecewise Limits

  • First Order Linear Differential Equations (dy/dx+Py=Qdy/dx + Py = Q)

Other units in CBSE Class 12 Board Mathematics (041)