How do you find the integral of $\int ln x d x$ $int lnx dx$ from 0 to 4?

Question

How do you find the integral of $\int ln x d x$ $int lnx dx$ from 0 to 4?

1 Answer

Impact of this question

1717 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-16T06:38:45

$8 ln 2 - 4$ $8ln2-4$

Explanation:

$\int_{0}^{4}$ $int_0^4$ $ln x d x$ $lnxdx$
by applying byparts
$ln x$ $lnx$ $\int_{0}^{4}$ $int_0^4$ $d x$ $dx$ - $\int_{0}^{4}$ $int_0^4$ $\frac{1}{x}$ $1/x$ $x d x$ $xdx$ (apply lmints for lnx also)
=( $ln 4 \cdot 4 - ln 0 \cdot 0)$ $ln4*4-ln0*0)$ -( $4 - 0$ $4-0$ )
= $8 ln 2 - 4$ $8ln2-4$

Science

Math

Humanities

... and beyond

How do you find the integral of $\int ln x d x$ $int lnx dx$ from 0 to 4?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you find the integral of ∫lnxdxint lnx dx from 0 to 4?

1 Answer

Explanation:

Related questions

Impact of this question

How do you find the integral of $\int ln x d x$ $int lnx dx$ from 0 to 4?