3.1 Integrals 1 to 69

\(\int x^5 (c (a+b x^2)^2)^{3/2} \, dx\) [1]
\(\int x^3 (c (a+b x^2)^2)^{3/2} \, dx\) [2]
\(\int x (c (a+b x^2)^2)^{3/2} \, dx\) [3]
\(\int \genfrac {}{}{}{}{(c (a+b x^2)^2)^{3/2}}{x} \, dx\) [4]
\(\int \genfrac {}{}{}{}{(c (a+b x^2)^2)^{3/2}}{x^3} \, dx\) [5]
\(\int \genfrac {}{}{}{}{(c (a+b x^2)^2)^{3/2}}{x^5} \, dx\) [6]
\(\int x^4 (c (a+b x^2)^2)^{3/2} \, dx\) [7]
\(\int x^2 (c (a+b x^2)^2)^{3/2} \, dx\) [8]
\(\int (c (a+b x^2)^2)^{3/2} \, dx\) [9]
\(\int \genfrac {}{}{}{}{(c (a+b x^2)^2)^{3/2}}{x^2} \, dx\) [10]
\(\int \genfrac {}{}{}{}{(c (a+b x^2)^2)^{3/2}}{x^4} \, dx\) [11]
\(\int x^3 (c (a+b x^2)^3)^{3/2} \, dx\) [12]
\(\int x (c (a+b x^2)^3)^{3/2} \, dx\) [13]
\(\int \genfrac {}{}{}{}{(c (a+b x^2)^3)^{3/2}}{x} \, dx\) [14]
\(\int \genfrac {}{}{}{}{(c (a+b x^2)^3)^{3/2}}{x^3} \, dx\) [15]
\(\int x^2 (c (a+b x^2)^3)^{3/2} \, dx\) [16]
\(\int (c (a+b x^2)^3)^{3/2} \, dx\) [17]
\(\int \genfrac {}{}{}{}{(c (a+b x^2)^3)^{3/2}}{x^2} \, dx\) [18]
\(\int \genfrac {}{}{}{}{(c (a+b x^2)^3)^{3/2}}{x^4} \, dx\) [19]
\(\int x^3 (\genfrac {}{}{}{}{c}{a+b x^2})^{3/2} \, dx\) [20]
\(\int x (\genfrac {}{}{}{}{c}{a+b x^2})^{3/2} \, dx\) [21]
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{c}{a+b x^2})^{3/2}}{x} \, dx\) [22]
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{c}{a+b x^2})^{3/2}}{x^3} \, dx\) [23]
\(\int x^4 (\genfrac {}{}{}{}{c}{a+b x^2})^{3/2} \, dx\) [24]
\(\int x^2 (\genfrac {}{}{}{}{c}{a+b x^2})^{3/2} \, dx\) [25]
\(\int (\genfrac {}{}{}{}{c}{a+b x^2})^{3/2} \, dx\) [26]
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{c}{a+b x^2})^{3/2}}{x^2} \, dx\) [27]
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{c}{a+b x^2})^{3/2}}{x^4} \, dx\) [28]
\(\int x^5 (\genfrac {}{}{}{}{c}{(a+b x^2)^2})^{3/2} \, dx\) [29]
\(\int x^3 (\genfrac {}{}{}{}{c}{(a+b x^2)^2})^{3/2} \, dx\) [30]
\(\int x (\genfrac {}{}{}{}{c}{(a+b x^2)^2})^{3/2} \, dx\) [31]
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{c}{(a+b x^2)^2})^{3/2}}{x} \, dx\) [32]
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{c}{(a+b x^2)^2})^{3/2}}{x^3} \, dx\) [33]
\(\int x^4 (\genfrac {}{}{}{}{c}{(a+b x^2)^2})^{3/2} \, dx\) [34]
\(\int x^2 (\genfrac {}{}{}{}{c}{(a+b x^2)^2})^{3/2} \, dx\) [35]
\(\int (\genfrac {}{}{}{}{c}{(a+b x^2)^2})^{3/2} \, dx\) [36]
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{c}{(a+b x^2)^2})^{3/2}}{x^2} \, dx\) [37]
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{c}{(a+b x^2)^2})^{3/2}}{x^4} \, dx\) [38]
\(\int x^7 (c \sqrt {a+b x^2})^{3/2} \, dx\) [39]
\(\int x^5 (c \sqrt {a+b x^2})^{3/2} \, dx\) [40]
\(\int x^3 (c \sqrt {a+b x^2})^{3/2} \, dx\) [41]
\(\int x (c \sqrt {a+b x^2})^{3/2} \, dx\) [42]
\(\int \genfrac {}{}{}{}{(c \sqrt {a+b x^2})^{3/2}}{x} \, dx\) [43]
\(\int \genfrac {}{}{}{}{(c \sqrt {a+b x^2})^{3/2}}{x^3} \, dx\) [44]
\(\int x^2 (c \sqrt {a+b x^2})^{3/2} \, dx\) [45]
\(\int (c \sqrt {a+b x^2})^{3/2} \, dx\) [46]
\(\int \genfrac {}{}{}{}{(c \sqrt {a+b x^2})^{3/2}}{x^2} \, dx\) [47]
\(\int \genfrac {}{}{}{}{(c \sqrt {a+b x^2})^{3/2}}{x^4} \, dx\) [48]
\(\int x^7 (\genfrac {}{}{}{}{c}{\sqrt {a+b x^2}})^{3/2} \, dx\) [49]
\(\int x^5 (\genfrac {}{}{}{}{c}{\sqrt {a+b x^2}})^{3/2} \, dx\) [50]
\(\int x^3 (\genfrac {}{}{}{}{c}{\sqrt {a+b x^2}})^{3/2} \, dx\) [51]
\(\int x (\genfrac {}{}{}{}{c}{\sqrt {a+b x^2}})^{3/2} \, dx\) [52]
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{c}{\sqrt {a+b x^2}})^{3/2}}{x} \, dx\) [53]
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{c}{\sqrt {a+b x^2}})^{3/2}}{x^3} \, dx\) [54]
\(\int x^4 (\genfrac {}{}{}{}{c}{\sqrt {a+b x^2}})^{3/2} \, dx\) [55]
\(\int x^2 (\genfrac {}{}{}{}{c}{\sqrt {a+b x^2}})^{3/2} \, dx\) [56]
\(\int (\genfrac {}{}{}{}{c}{\sqrt {a+b x^2}})^{3/2} \, dx\) [57]
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{c}{\sqrt {a+b x^2}})^{3/2}}{x^2} \, dx\) [58]
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{c}{\sqrt {a+b x^2}})^{3/2}}{x^4} \, dx\) [59]
\(\int (d x)^m (c (a+b x^2)^3)^{3/2} \, dx\) [60]
\(\int (d x)^m (c (a+b x^2)^2)^{3/2} \, dx\) [61]
\(\int (d x)^m (c (a+b x^2))^{3/2} \, dx\) [62]
\(\int (d x)^m (\genfrac {}{}{}{}{c}{a+b x^2})^{3/2} \, dx\) [63]
\(\int (d x)^m (\genfrac {}{}{}{}{c}{(a+b x^2)^2})^{3/2} \, dx\) [64]
\(\int (d x)^m (c (a+b x^n)^3)^{3/2} \, dx\) [65]
\(\int (d x)^m (c (a+b x^n)^2)^{3/2} \, dx\) [66]
\(\int (d x)^m (c (a+b x^n))^{3/2} \, dx\) [67]
\(\int (d x)^m (\genfrac {}{}{}{}{c}{a+b x^n})^{3/2} \, dx\) [68]
\(\int (d x)^m (\genfrac {}{}{}{}{c}{(a+b x^n)^2})^{3/2} \, dx\) [69]