wellll time for some bloggin now that the superbowl's over. I'll do a blog on integration because i think its the concept that i grasped best in calculus this whole year. I feel like for once calculus isn't so stressful! Ok so here's a few examples of integration:
ex. 1) 3x^2 to integrate, add one to the exponent and divide the coefficient by that exponent, so.... 3/3x^3 = x^3.......see, that one was simple.
ex. 2) x^3 okay, same thing, add one to the exponent making it ^4 then the divide the coefficient ( 1 ) by 4, which gives you 1/4x^4
ex. 3) ( x - 1 )^2 okay for this one you need to foil it out first before you can integrate: x^2 - 2x + 1....now integrate one term at a time:
x^2 = 1/3x^3 -2x = -x^2 and 1 = x
-now put it together and your integral for this example is 1/3x^3 - x^2 + 1
**HINT** If you want to check your answer, its simple, just take the derivative of the answer you get, and if you integrated properly, the derivative of your answer should equal the problem.
No comments:
Post a Comment