PLEASE DO THE INTEGRATION OF
ln x
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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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