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sat_chen
 3 years ago
verify my trigonometric substitution
sat_chen
 3 years ago
verify my trigonometric substitution

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sat_chen
 3 years ago
Best ResponseYou've already chosen the best response.0integral of ((sqrt(4x^2)/x^2)dx

sat_chen
 3 years ago
Best ResponseYou've already chosen the best response.0by the way 1/secx is cos right?

dumbcow
 3 years ago
Best ResponseYou've already chosen the best response.2ok sorry about delay...heres what your steps should be \[x = 2\sin \theta\] \[dx = 2\cos \theta d \theta\] \[\rightarrow \int\limits_{}^{} \frac{2 \cos \theta}{4 \sin^{2} \theta} (2 \cos \theta) d \theta\] \[= \int\limits_{}^{}\frac{ \cos^{2} \theta}{\sin^{2} \theta} d \theta \] \[=\int\limits_{}^{}\frac{1\sin^{2} \theta}{\sin^{2} \theta} d \theta\] \[=\int\limits_{}^{} \csc^{2} \theta  1\] \[= \cot \theta  \theta +C\]

sat_chen
 3 years ago
Best ResponseYou've already chosen the best response.0it should be cot0 0 + c

sat_chen
 3 years ago
Best ResponseYou've already chosen the best response.0and yep i did the same steps as you ty a lot for your help

sat_chen
 3 years ago
Best ResponseYou've already chosen the best response.0and thanks a lot for taking time to clear my confusions

sat_chen
 3 years ago
Best ResponseYou've already chosen the best response.0and you did in so many fewer steps then me going have to start doing it in my head as well

sat_chen
 3 years ago
Best ResponseYou've already chosen the best response.0can i message you later if i have more questions in my homework :)

dumbcow
 3 years ago
Best ResponseYou've already chosen the best response.2sure 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
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