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verify my trigonometric substitution

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integral of ((sqrt(4-x^2)/x^2)dx

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Other answers:

3 dot mean continued
by the way 1/secx is cos right?
ok sorry about delay...heres what your steps should be \[x = 2\sin \theta\] \[dx = 2\cos \theta d \theta\] \[\rightarrow \int\limits_{}^{} \frac{2 \cos \theta}{4 \sin^{2} \theta} (2 \cos \theta) d \theta\] \[= \int\limits_{}^{}\frac{ \cos^{2} \theta}{\sin^{2} \theta} d \theta \] \[=\int\limits_{}^{}\frac{1-\sin^{2} \theta}{\sin^{2} \theta} d \theta\] \[=\int\limits_{}^{} \csc^{2} \theta - 1\] \[= \cot \theta - \theta +C\]
it should be -cot0 -0 + c
i believe
ahh right sorry
and yep i did the same steps as you ty a lot for your help
and thanks a lot for taking time to clear my confusions
and you did in so many fewer steps then me going have to start doing it in my head as well
can i message you later if i have more questions in my homework :)
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
ok ty

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