Integration (substituition)

1. May 2, 2014

delsoo

1. The problem statement, all variables and given/known data

for this question, the question only stated SUITABLE substituition, what substituition should i use? this substituion does not involve trigo functions , am i right? P/S : i'm just asking opinion, not the full working.

2. Relevant equations

3. The attempt at a solution

File size:
12.6 KB
Views:
82
2. May 2, 2014

Dick

No, you don't need trig functions. Use a substitution that will get rid of the square root.

3. May 2, 2014

delsoo

what should i sub? how to determine the substitution for this type of question? can i sub u= surd x ? or u=( 1+ surd x ) ? or u=(( 1+ surd x ) sqrt)

4. May 2, 2014

Curious3141

Why don't you try it and see? Both $u = \sqrt{x}$ and $u = 1 + \sqrt{x}$ work but one gives a quicker and neater answer.

5. May 4, 2014

delsoo

for this type of question, can i use any substituition i like such as u=(1+ surd x )^2 ?

6. May 4, 2014

Dick

You can TRY any substitution you like, they won't all help you to integrate. Don't forget when you substitute u=f(x) you also have to find du so you can figure out how to express the dx part in terms of u.

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted