A community for students.
Here's the question you clicked on:
 0 viewing
henpen
 2 years ago
\[ \int \frac{ds}{a+bs^2} \]
henpen
 2 years ago
\[ \int \frac{ds}{a+bs^2} \]

This Question is Closed

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2know the general formula for 1/(x^2+a^2) ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2if, u can't use direct formula.....u can substitute...

henpen
 2 years ago
Best ResponseYou've already chosen the best response.0What do you mean by general formula?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2\(\\ \huge 16. \int \frac{1}{x^2+a^2}dx=a^{1}\tan^{1}(\frac{x}{a})+c \\\)

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2first u need to divide by b to be able to use it...

henpen
 2 years ago
Best ResponseYou've already chosen the best response.0I've understood that much. What to substitute? A better question: what general logic (other than having seen this problem before, which won't be of help in the future) do I use when deciding what to substitute? It seems with the x^2 the cos^2+sin^2=1 identity may be useful.

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2when there is + ans a square term.. u think of 1+tan^2x = sec^2 x so that u can substitute here s= tan

henpen
 2 years ago
Best ResponseYou've already chosen the best response.0OK I've got that integral is there any general rule for deciding how to substitute, or is it mainly intuition?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2seen my tutorial, right ? i've given table of substitution there. .

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2but yeah, that comes with practice....

henpen
 2 years ago
Best ResponseYou've already chosen the best response.0Tables are artificial, only useful for engineers. But thanks.

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2true... intuition comes with practice....
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.