Reflection 1/23

This week we learned all about integration. All integration is is doin the opposite of takin the derivative. Instead of multiplyin the coefficient by the exponent then subtractin one from the exponent like you do when you take the derivative, you ADD one to the exponent and DIVIDE the coefficient by the exponent. A cool thing about integration versus derivatives is that there are no product rules, quotient rules, or chain rules which helps it to be a little simpler. Its a process jus like takin derivatives in that it is very easy if you practice it.

Here is an example on how to integrate:

3x^2
add one to the exponent: 3x^3
now divide the coefficient by the exponent ( or multiply by the reciprical ): 3/3x^3
and you get x^3

**a good way to check your answer is to take the derivative of your answer, and you should get your problem: the derivative of x^3 is 3x^2