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amyna
 one year ago
find the intergal:
amyna
 one year ago
find the intergal:

This Question is Closed

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[\int\limits \tan(\ln(x) ) \cdot \frac{1}{x} dx \\ \text{ notice: the derivative of } \ln(x) \text{ w.r.t. } x \text{ is } \frac{1}{x} \]

amyna
 one year ago
Best ResponseYou've already chosen the best response.0ok then do i write tan as sin/cos?

freckles
 one year ago
Best ResponseYou've already chosen the best response.2you write tan(u) as sin(u)/cos(u)

freckles
 one year ago
Best ResponseYou've already chosen the best response.2you can use another sub v=cos(u) so dv=sin(u) du

freckles
 one year ago
Best ResponseYou've already chosen the best response.2why is dx/x still there

amyna
 one year ago
Best ResponseYou've already chosen the best response.0so is the answer sin(1/x) / cos (1/x) ??

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[\int\limits \frac{\sin(u)}{\cos(u)}du = \int\limits \frac{dv}{v}=\lnv+C \\ \text{ where } v=\cos(u)\]
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