Question

derivative of lnsinex?

Answer 1

integration of 1/1+x^2=?

Answer 2

derrivative of ln(sin(e^x))=(e^x*cos(e^x))/sin(e^x))
if lnsinex means ln(sin(e^x))

Answer 3

chain rule
\[\frac{d}{dx} \ln (\sin x)\]
u = sin x
du = cos x
\[\frac{d}{du} \ln u = \frac{1}{u
multiply by du
\[\rightarrow \frac{1}{\sin x}*\cos x = \cot x\]

Answer 4

oops latex problem...anyway did i do wrong problem

why are posting a 2nd problem?

Answer 5

and derrivative of ln(sin(x))=cos(x)/sin(x)

Answer 6

for integral, its atan(x)+C