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Popular Calculus >

integral from 1 to e of ln(t)

Solution

\int_{1}^{e} ln (t) d t

Solution

1

Solution steps

\int_{1}^{e} ln (t) d t

Apply Integration By Parts

= [t ln (t) - \int 1 d t]_{1}^{e}

\int 1 d t = t

= [t ln (t) - t]_{1}^{e}

Compute the boundaries:

1

= 1

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to e of ln(t) ?
The integral from 1 to e of ln(t) is 1