JEE Advanced 2014 Mathematics Syllabus (Integral calculus)

Integral calculus:

  •  Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, Fundamental Theorem of Integral Calculus.
  • Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.
  • Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.
  • Vectors: Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.

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