sat_chen
verify my trigonometric substitution



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

sat_chen
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dw:1359525159259:dw

sat_chen
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dw:1359525180291:dw

sat_chen
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3 dot mean continued

sat_chen
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by the way 1/secx is cos right?

dumbcow
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ok sorry about delay...heres what your steps should be
\[x = 2\sin \theta\]
\[dx = 2\cos \theta d \theta\]
\[\rightarrow \int\limits_{}^{} \frac{2 \cos \theta}{4 \sin^{2} \theta} (2 \cos \theta) d \theta\]
\[= \int\limits_{}^{}\frac{ \cos^{2} \theta}{\sin^{2} \theta} d \theta \]
\[=\int\limits_{}^{}\frac{1\sin^{2} \theta}{\sin^{2} \theta} d \theta\]
\[=\int\limits_{}^{} \csc^{2} \theta  1\]
\[= \cot \theta  \theta +C\]

sat_chen
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it should be cot0 0 + c

sat_chen
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i believe

dumbcow
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ahh right sorry

sat_chen
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and yep i did the same steps as you ty a lot for your help

dumbcow
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yw

sat_chen
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and thanks a lot for taking time to clear my confusions

sat_chen
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and you did in so many fewer steps then me going have to start doing it in my head as well

sat_chen
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can i message you later if i have more questions in my homework :)

dumbcow
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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

sat_chen
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ok ty