Question

find the values of integral 1/x dx​

Answer 1

Answer:

Step-by-step explanation:

Let x = e^u

eu = x

d/dx (eu) = dx/dx

eu * du/dx = 1

du/dx = 1/eu = 1/x

du = 1/x * dx

So now just integrate both sides of 1.e.

(1/x) * dx = du

∫ (1/x) * dx = ∫ du

∫ (1/x) * dx = u + c

Since eu=x

ln( eu ) = ln|x|

u = ln|x|

∫ (1/x) * dx = u + c

∫ (1/x) * dx = ln|x| + c