User:Jonargue/Sandbox

Sandbox Page This is a sandbox page.

It is expected that students will recognize antidifferentiation (indefinite integral) as the reverse of the differentiation process.

It is expected that students will:

• explain the meaning of the phrase “$F(x)$ is an antiderivative (or indefinite integral) of $f(x)$”
• use antiderivative notation appropriately (i.e., $\int f(x)dx$ for the antiderivative of $f(x)$)
• compute the antiderivatives of linear combinations of functions whose individual antiderivatives are known including:
  • $\int kx\,dx=kx+C$
• compute $\int f(ax+b)dx$ if $\int f(u)du$ is known
• create integration formulas from the known differentiation formulas
• solve initial value problems using the concept that if $F'(x)=G'(x)$ on an interval, then $F(x)$ and $G(x)$ differ by a constant on that interval

--Jonargue (talk) 22:03, 2 September 2008 (UTC)