solve-1-1-x-2-d-lnx-

Question Number 23663 by Anoop kumar last updated on 03/Nov/17

s o l v e

{\int_{- 1}}^{1_{}} x^{2} d (l n x)

Commented by prakash jain last updated on 03/Nov/17

You are correct . Thanks .

Commented by prakash jain last updated on 03/Nov/17

Does the integral converge ?

\ln x for x = - 1 ?

Commented by $@ty@m last updated on 03/Nov/17

H e r e \ln x = - 1 n o t x

Answered by $@ty@m last updated on 03/Nov/17

L e t \ln x = t

\Rightarrow e^{t} = x

{\int_{- 1}}^{1_{}} x^{2} d (l n x) = \underset{- 1}{\int^{1}} e^{2 t} d t

Missing \left or extra \right

= \frac{e^{2} - e^{- 2}}{2}

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