How to Integrate cosx/((sinx)^2 + 1) with Respect to x

[tmozam]

how do i integrate -- cosx/((sinx)^2 + 1) with respect to x
thanks for your help

 

[arildno]

Set u=sin(x)

 

[tmozam]

oh wow , why didnt i think of that ?
thanks a lot

 

[tmozam]

what is the integral of ∫ cosx/(sinx)^9 with respect to x.
i think this one is a bit challenging

 

[nicksauce]

Just let u = sin(x) again...

 

[tmozam]

how about integral of 10^x with respect to x

 

[fourier jr]

write $10^x = e^{xln10}$

 

[arildno]

Or, set u=10^x