Bug#597534: maxima: cannot solve the following integral

Interesting, this also fails:

(i2)  a:sqrt( x + sqrt( 1 + x^2 ) ) / x $

(i3) diff(a,x);

(o3) (1+x/sqrt(1+x^2))/(2*x*sqrt(x+sqrt(1+x^2)))-sqrt(x+sqrt(1+x^2))/x^2

(i4) integrate(%,x);

(o4) 'integrate((1+x/sqrt(1+x^2))/(2*x*sqrt(x+sqrt(1+x^2)))
                  -sqrt(x+sqrt(1+x^2))/x^2,x)


Camm Maguire wrote:
 > tags 597534 forwarded
 > thanks
 >
 > Andres Cimmarusti <acimmarusti at gmail.com> writes:
 >
 >> Package: maxima
 >> Version: 5.21.1-2
 >> Severity: wishlist
 >> Tags: upstream
 >>
 >> Maxima fails to do the following integral:
 >>
 >> integrate( sqrt( x + sqrt( 1 + x^2 ) ) / x , x );
 >>