verify my trigonometric substitution

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verify my trigonometric substitution

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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integral of ((sqrt(4-x^2)/x^2)dx
|dw:1359525159259:dw|
|dw:1359525180291:dw|

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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
yw
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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