3) Integration by substitution

  •  Integration by substitution involves substituting a new variable for the variable of integration.
  • This is useful when the integrand contains a function that can be simplified by substitution.
  • The technique involves choosing a new variable, computing its derivative, and substituting into the integral.
  • The resulting integral is often simpler to solve.

Important Formulas to Remember in these topic


$$\int f(g(x))g'(x)dx = \int f(u)du$$