Tough Integration question. (1 Viewer)

[shongaponga]

Hey guys just having some trouble with this question, any help is appreciated.

 

[barbernator]

you can use an x=sec(theta) substitution to simplify. And then u can use a u=sin(theta) and it should be a simple integration from there.

 

[asianese]

You can use a substitution after the simplification but it's not that necessary IMHO.

After the sub, you end up with . If we see patterns in the integrals of trigonometric functions, this is easy to integrate. . It can be deduced that . A similar relationship applies for and . These relationships are very useful when determining integrals of trig functions. It's very nice how you can 'co' all the functions and then put a minus sign out the front - if you know what I mean.

Additionally,



Looks similar to the trig identities?

+Cs, obviously.

 

[lolcakes52]

Just one correction. The integral of cot(x)csc(x) dx is -cosec(x) not cot(x) right?

 

[nightweaver066]

Just one correction. The integral of cot(x)csc(x) dx is -cosec(x) not cot(x) right?

Yep.

 

[shongaponga]

Thanks for the help guys, got the question out

 

[iSplicer]

Just one correction. The integral of cot(x)csc(x) dx is -cosec(x) not cot(x) right?

Yes.

 

[asianese]

Whoa sorry guys - editted.