What is the integral from 2 to 7 of ln(t+8) ?

The integral from 2 to 7 of ln(t+8) is ln(44840334375/1024)-5

Popular >

integral from 2 to 7 of ln(t+8)

\int_{2}^{7} ln (t + 8) d t

ln (\frac{44840334375}{1024}) - 5

Decimal

12.59490 \dots

Solution steps

\int_{2}^{7} ln (t + 8) d t

Apply u-substitution

: \int_{10}^{15} ln (u) d u

= \int_{10}^{15} ln (u) d u

Apply Integration By Parts

: [u ln (u) - \int 1 d u]_{10}^{15}

= [u ln (u) - \int 1 d u]_{10}^{15}

\int 1 d u = u

= [u ln (u) - u]_{10}^{15}

Compute the boundaries:

15 ln (15) - 5 - 10 ln (10)

= 15 ln (15) - 5 - 10 ln (10)

Simplify

= ln (\frac{44840334375}{1024}) - 5

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

\int_{1}^{3} 1 + (2 x)^{2} d x

\int_{- 11}^{- 3} \frac{1}{x} d x

\int_{1}^{e} x^{2} ln^{2} (x) d x

\int_{- 1.25}^{0} (5 x^{3} - 3 x + 6) d x

What is the integral from 2 to 7 of ln(t+8) ?
The integral from 2 to 7 of ln(t+8) is ln(44840334375/1024)-5