integration II


Succeeds: integration

Summary

Trigonometric substitution

Additional standard integrals

FTC formula

Solving partial fractions

Concept

Riemann sum

  • total area of infinitely many small rectangles
  • can be approximated for a sufficiently large n

Fundemental theorem of calculus I

Fundemental theorem of calculus II

  • the area function is an antiderivative of the integrand

https://www.youtube.com/watch?v=e0E8Is_G_p4

Even and odd functions

  • symmetry about the y axis

Application

Trigo substitution

Riemann sum, with limits at ∞

Riemann sum as an integral