Math, asked by Lakkubhai2004, 8 months ago

PLEASE DO THE INTEGRATION OF
ln x

First answer will marked braunliest​

Answers

Answered by bhainapranitsb3610
1

Answer:

Step-by-step explanation:

Strategy: Use Integration by Parts.

(integral)ln(x) dx

set

 u = ln(x),    dv = dx

then we find

 du = (1/x) dx,    v = x

substitute

(integral) ln(x) dx = (integral) u dv

and use integration by parts

= uv - (integral) v du

substitute u=ln(x), v=x, and du=(1/x)dx

= ln(x) x - (integral) x (1/x) dx

= ln(x) x - (integral) dx

= ln(x) x - x + C

= x ln(x) - x + C.

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