I hate it. Stuck on 2 integration problems a). b). Thanks for any help
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Originally Posted by Beard I hate it. Stuck on 2 integration problems a). b). Thanks for any help Your first substitution should work giving . For the second try
For the second, I prefer . No partial fractions decomposition required, just simple sub.
Originally Posted by Chop Suey For the second, I prefer . No partial fractions decomposition required, just simple sub. Definitely quicker (as a little easier) but not obvious for most.
Thanks for the first part, however I am unable to do the second part of your reply where you said try: because the book has given me a 'set' substitution so it must remain as
Originally Posted by Beard Thanks for the first part, however I am unable to do the second part of your reply where you said try: because the book has given me a set 'substitution' so it must remain as In that case then, if , then Thus, the integral becomes Since , that means that So the integral becomes And now, you'll need to apply the technique of partial fractions.
Originally Posted by Chris L T521 you'll need to apply the technique of partial fractions. No, haha, because of
Thus, the integral becomes Confused by the second part of this unless you are saying that you are multiplying by 1 in the form of
Originally Posted by Beard Thus, the integral becomes Confused by the second part of this unless you are saying that you are multiplying by 1 in the form of Yes. I multiplied by 1 in the form of because now we can replace with in the numerator. In the denominator, you can now replace with .
So how do you integrate ?
One way is split into partial fractions. Now, it's easy to see each one is in terms of ln.
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