What is the integral of $ln(2x + 7) dx$ ?

Question

5996 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-02T14:36:44

$int ln(2x+7)dx= int 1* ln(2x+7)dx$ . Now integrate by parts,

ln(2x+7) * x - $int 2/(2x+7) *x dx$

= x ln(2x+7)- $int (2x)/(2x+7) dx$

= x ln (2x+7) - $int (1- 7/(2x+7) )dx$

= x ln(2x+7) - x + $7/2$ ln(2x+7) +C

What is the integral of ln(2x + 7) dxln(2x + 7) dx?