Question

∫e^tanx*sec^2x dx
let,e^tanx=z
or,d/dx e^tanx=dz/dx
or,e^tanx.sec^2x=dz/dx
or,z.sec^2x.dx=dz
or,sec^2x.dx=dz/z
Now,∫e^tanx*sec^2x dx=∫z.dz/z=∫dz(1)=z+c=e^tanx+c
Is this correct?

Answer 1

yes! correct :)
you can also solve it by using
z= tan x only :)

Answer 2

Ok thank you :)

Answer 3

welcome ^_^

Answer 4

^_^