definite

∫log(x+1)1xdx.
from 0 to 1.

1 Answers

1357
Manish Shankar ·

log(1+x)/x=1-x/2+x^2/3-x^3/4.............

integrating it we get

x-x^2/2^2+x^3/3^2..........

applying the intervals

1-1/2^2+1/3^2-1/4^2.....=

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