B.Tech (1st Semester) Mathematics - I : Unit - 3 : Differential Calculus - II

Differential Calculus 2:

  1. Builds upon Differential Calculus 1 concepts.
  2. Focuses on integration and antiderivatives.
  3. Integral represents the area under a curve.
  4. Fundamental Theorem of Calculus connects differentiation and integration.
  5. Techniques for integration include substitution, integration by parts, and partial fractions.
  6. Applications include finding areas, volumes, and solving differential equations.
  7. Improper integrals handle infinite or undefined limits.
  8. Numerical methods like Riemann sums approximate integrals.
  9. Differential equations involve relationships between functions and their derivatives.
  10. Differential Calculus 2 lays the groundwork for further study in calculus and physics. 


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