3.4.1 \(\int \frac {(c x)^{-1+\frac {3 j}{2}}}{(a x^j+b x^n)^{3/2}} \, dx\)
  3.4.2 \(\int \frac {(c x)^{7/2}}{(a x^3+b x^n)^{3/2}} \, dx\)
  3.4.3 \(\int \frac {c^2 x^2}{(a x^2+b x^n)^{3/2}} \, dx\)
  3.4.4 \(\int \frac {\sqrt {c x}}{(a x+b x^n)^{3/2}} \, dx\)
  3.4.5 \(\int \frac {1}{c x (a+b x^n)^{3/2}} \, dx\)
  3.4.6 \(\int \frac {1}{(c x)^{5/2} (\frac {a}{x}+b x^n)^{3/2}} \, dx\)
  3.4.7 \(\int \frac {1}{c^4 x^4 (\frac {a}{x^2}+b x^n)^{3/2}} \, dx\)
  3.4.8 \(\int \frac {1}{(c x)^{11/2} (\frac {a}{x^3}+b x^n)^{3/2}} \, dx\)
  3.4.9 \(\int \frac {1}{c^7 x^7 (\frac {a}{x^4}+b x^n)^{3/2}} \, dx\)
  3.4.10 \(\int \frac {1}{\sqrt {\frac {a+b x^3}{x}}} \, dx\)
  3.4.11 \(\int \frac {1}{\sqrt {\frac {a+b x^4}{x^2}}} \, dx\)
  3.4.12 \(\int \frac {1}{\sqrt {\frac {a+b x^5}{x^3}}} \, dx\)
  3.4.13 \(\int \frac {1}{\sqrt {x^{2-n} (a+b x^n)}} \, dx\)
  3.4.14 \(\int \frac {1}{\sqrt {\frac {a-b x^3}{x}}} \, dx\)
  3.4.15 \(\int \frac {1}{\sqrt {\frac {a-b x^4}{x^2}}} \, dx\)
  3.4.16 \(\int \frac {1}{\sqrt {\frac {a-b x^5}{x^3}}} \, dx\)
  3.4.17 \(\int \frac {1}{\sqrt {x^{2-n} (a-b x^n)}} \, dx\)
  3.4.18 \(\int \frac {1}{\sqrt {x^n (a+b x^{2-n})}} \, dx\)
  3.4.19 \(\int \frac {1}{\sqrt {x^2 (b+a x^{-2+n})}} \, dx\)
  3.4.20 \(\int \frac {1}{\sqrt {x (b x+a x^{-1+n})}} \, dx\)
  3.4.21 \(\int \frac {1}{\sqrt {x^n (a-b x^{2-n})}} \, dx\)
  3.4.22 \(\int \frac {1}{\sqrt {x^2 (-b+a x^{-2+n})}} \, dx\)
  3.4.23 \(\int \frac {1}{\sqrt {x (-b x+a x^{-1+n})}} \, dx\)
  3.4.24 \(\int \sqrt {\frac {1+x}{x^5}} \, dx\)
  3.4.25 \(\int \sqrt {x+x^{5/2}} \, dx\)
  3.4.26 \(\int \frac {1}{\sqrt {x}+x^{3/2}} \, dx\)
  3.4.27 \(\int x \sqrt {x^2 (a+b x^3)} \, dx\)
  3.4.28 \(\int x \sqrt {a x^2+b x^5} \, dx\)
  3.4.29 \(\int \sqrt {x^4 (a+b x^3)} \, dx\)
  3.4.30 \(\int (a x^m+b x^{1+m+m p})^p \, dx\)
  3.4.31 \(\int (x^m (a+b x^{1+m p}))^p \, dx\)
  3.4.32 \(\int x^n (x^m (a+b x^{1+n+m p}))^p \, dx\)
  3.4.33 \(\int x^n (a x^m+b x^{1+m+n+m p})^p \, dx\)
  3.4.34 \(\int \sqrt {x^{2 (-1+n)} (a+b x^n)} \, dx\)
  3.4.35 \(\int \sqrt [3]{x^{3 (-1+n)} (a+b x^n)} \, dx\)
  3.4.36 \(\int \sqrt [4]{x^{4 (-1+n)} (a+b x^n)} \, dx\)
  3.4.37 \(\int (x^{(-1+n) p} (a+b x^n))^{\frac {1}{p}} \, dx\)
  3.4.38 \(\int (x^{\frac {-1+n}{p}} (a+b x^n))^p \, dx\)
  3.4.39 \(\int x^{-1+n-p (1+q)} (a x^n+b x^p)^q \, dx\)
  3.4.40 \(\int x^{-1-n q-p (1+q)} (x^n (a+b x^p))^q \, dx\)