Integral using table and substiution (simple pics provided)

[bikerboy2442]

I'm supposed to solve this using an integral table and substitution.

I attempted to solve by rewriting the denominator as Sqrt((8x)²+9²) then using to solve, substituting u=8x.

Thereby getting the answer ln|8x+sqrt((8x)²+9²)|+C however this is apparently not correct. Any help?

My provided integral table can be found here

 

[Deleted member 4993]

View attachment 2549I'm supposed to solve this using an integral table and substitution.

I attempted to solve by rewriting the denominator as Sqrt((8x)²+9²) then using View attachment 2550to solve, substituting u=8x.

Thereby getting the answer ln|8x+sqrt((8x)²+9²)|+C however this is apparently not correct. Any help?

My provided integral table can be found here

First you have to do a substitution:

u = 8x

dx = 1/8 du

Now you can use the table.

So your answer should be:

1/8 * ln|8x+sqrt((8x)²+9²)|+C