- #1
Lancelot59
- 646
- 1
This problem looks relatively simple, but the coefficient in front of the variable is causing issues:
[tex]\int{\sqrt{1-4x^{2}}}dx[/tex]
So I started like this:
[tex]x=sin(\theta)[/tex]
[tex]dx=cos(\theta)d\theta[/tex]
[tex]\int{\sqrt{1-4sin^{2}(\theta)}cos(\theta)d\theta}[/tex]
Normally you can remove the constant from the root and go about the rest of the integral, but I'm stumped on this. How can I break this down into something more manageable? I've tried several identities but nothing has worked yet.
A pointer in the right direction would be great. Thanks in advance!
[tex]\int{\sqrt{1-4x^{2}}}dx[/tex]
So I started like this:
[tex]x=sin(\theta)[/tex]
[tex]dx=cos(\theta)d\theta[/tex]
[tex]\int{\sqrt{1-4sin^{2}(\theta)}cos(\theta)d\theta}[/tex]
Normally you can remove the constant from the root and go about the rest of the integral, but I'm stumped on this. How can I break this down into something more manageable? I've tried several identities but nothing has worked yet.
A pointer in the right direction would be great. Thanks in advance!