Thread: Difficult integral

I have been asked to integrate the folowing function:

sin(x)/(1+9cos^2(x))

and am having considerable difficulties.

Could anyone please tell me how to progress - I don't want the answer, just a method for solving this indefinate integral.

Thanks in advance for any help.

Regards,

Kirstie

Let .

Then you should see an arctan somewhere.

Originally Posted by kirstie

I have been asked to integrate the folowing function:

sin(x)/(1+9cos^2(x))

and am having considerable difficulties.

Could anyone please tell me how to progress - I don't want the answer, just a method for solving this indefinate integral.

Thanks in advance for any help.

Regards,

Kirstie

let



This is in the form of the arctangent so we get

Thanks for your prompt replies.

However shouldn't the final answer be

1/3tan^-1(3cos(x))+c

since u = 3cos(x) not cos(x)/3

Kirstie

Yes it should. I fixed the above post.