how can you decide when it is necessary to use substitution to find an indefinite integral?

Question

amistre64 · Answer

practice

amistre64 · Answer

substitution cleans up the argument, so "needing" it is not all that of a requirement really

chrisplusian · Answer

I  am reading a section in the text book. In the practice section it says " determine when it is NECESSARY to use substitution" so I just wasn't sure

amistre64 · Answer

lol, id say when you got an ugly integrand, give it a shot :)

chrisplusian · Answer

Is there some rule that says when the degree of the numerator, of a rational function, is greater then the denomintor  you must do long division first then integrate the result?

amistre64 · Answer

http://ocw.mit.edu/resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/ this might help some

amistre64 · Answer

there are no "rules" to integration in that respect.  There are common sense things, give it a shot things, try your luck things; but integration is more of an art than a science

chrisplusian · Answer

ok I am going to check it out. I am at a high b in calc one right now. I have a test monday on integration then a final on tuesday. I will watch those links. thanks for your help

amistre64 · Answer

most integrands youll never be able to solve with what your learning to do now; these are just to give you the confidence that integration works ....

amistre64 · Answer

good luck :)