anonymous
  • anonymous
verify my trigonometric substitution
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
integral of ((sqrt(4-x^2)/x^2)dx
anonymous
  • anonymous
|dw:1359525159259:dw|
anonymous
  • anonymous
|dw:1359525180291:dw|

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anonymous
  • anonymous
3 dot mean continued
anonymous
  • anonymous
by the way 1/secx is cos right?
dumbcow
  • dumbcow
ok sorry about delay...heres what your steps should be \[x = 2\sin \theta\] \[dx = 2\cos \theta d \theta\] \[\rightarrow \int\limits_{}^{} \frac{2 \cos \theta}{4 \sin^{2} \theta} (2 \cos \theta) d \theta\] \[= \int\limits_{}^{}\frac{ \cos^{2} \theta}{\sin^{2} \theta} d \theta \] \[=\int\limits_{}^{}\frac{1-\sin^{2} \theta}{\sin^{2} \theta} d \theta\] \[=\int\limits_{}^{} \csc^{2} \theta - 1\] \[= \cot \theta - \theta +C\]
anonymous
  • anonymous
it should be -cot0 -0 + c
anonymous
  • anonymous
i believe
dumbcow
  • dumbcow
ahh right sorry
anonymous
  • anonymous
and yep i did the same steps as you ty a lot for your help
dumbcow
  • dumbcow
yw
anonymous
  • anonymous
and thanks a lot for taking time to clear my confusions
anonymous
  • anonymous
and you did in so many fewer steps then me going have to start doing it in my head as well
anonymous
  • anonymous
can i message you later if i have more questions in my homework :)
dumbcow
  • dumbcow
sure thing ... and i did skip some steps just for sake of time and space, but on paper its good to be thorough so you don't make any mistakes
anonymous
  • anonymous
ok ty

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