Day 4: Integrals

This unit covers basic introduction to integration.

Lecture materials

Integrals lecture slides

Contents

• Natural logarithms and its derivative
• Integrals
  • Area under curve and geometric motivation
  • Riemann sums and the integral as a limit
• Fundamental Theorem of Calculus
• Rules of integration
  • Linearity
  • Integrating a constant
  • Power rule
• Initial value problems
• Definite and indefinite integrals Area between two curves

Problem set

Click here to see the problem set.

Problem set solutions

Solutions