What is the integral from 1 to 7 of ln(t) ?

The integral from 1 to 7 of ln(t) is 7ln(7)-6

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integral from 1 to 7 of ln(t)

\int_{1}^{7} ln (t) d t

7 ln (7) - 6

Decimal Notation

7.62137 \dots

Solution steps

\int_{1}^{7} ln (t) d t

Apply Integration By Parts

: [t ln (t) - \int 1 d t]_{1}^{7}

= [t ln (t) - \int 1 d t]_{1}^{7}

\int 1 d t = t

= [t ln (t) - t]_{1}^{7}

Compute the boundaries:

7 ln (7) - 6

= 7 ln (7) - 6

\int_{0}^{1} 70 x (2 x^{2} + 1)^{4} d x

\int_{1}^{n} \frac{1}{x} d x

\int_{- 3}^{0} 1 - x d x

\int_{0}^{4} - x d x

\int_{- 7}^{2} \frac{1}{( x - 1 ) ^{\frac{5}{3}}} d x

What is the integral from 1 to 7 of ln(t) ?
The integral from 1 to 7 of ln(t) is 7ln(7)-6