3.1 Integrals 1 to 100

\(\int \genfrac {}{}{}{}{(a+b (c x)^n)^{5/2}}{x} \, dx\) [1]
\(\int \genfrac {}{}{}{}{(a+b (c x)^n)^{3/2}}{x} \, dx\) [2]
\(\int \genfrac {}{}{}{}{\sqrt {a+b (c x)^n}}{x} \, dx\) [3]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b (c x)^n}} \, dx\) [4]
\(\int \genfrac {}{}{}{}{1}{x (a+b (c x)^n)^{3/2}} \, dx\) [5]
\(\int \genfrac {}{}{}{}{1}{x (a+b (c x)^n)^{5/2}} \, dx\) [6]
\(\int \genfrac {}{}{}{}{(-a+b (c x)^n)^{5/2}}{x} \, dx\) [7]
\(\int \genfrac {}{}{}{}{(-a+b (c x)^n)^{3/2}}{x} \, dx\) [8]
\(\int \genfrac {}{}{}{}{\sqrt {-a+b (c x)^n}}{x} \, dx\) [9]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {-a+b (c x)^n}} \, dx\) [10]
\(\int \genfrac {}{}{}{}{1}{x (-a+b (c x)^n)^{3/2}} \, dx\) [11]
\(\int \genfrac {}{}{}{}{1}{x (-a+b (c x)^n)^{5/2}} \, dx\) [12]
\(\int (d x)^m \sqrt {a+b (c x)^{3/2}} \, dx\) [13]
\(\int (d x)^m \sqrt {a+b \sqrt {c x}} \, dx\) [14]
\(\int (d x)^m \sqrt {a+\genfrac {}{}{}{}{b}{\sqrt {c x}}} \, dx\) [15]
\(\int (d x)^m \sqrt {a+\genfrac {}{}{}{}{b}{(c x)^{3/2}}} \, dx\) [16]
\(\int (d x)^m (a+b (c x)^n)^p \, dx\) [17]
\(\int x^2 (a+b (c x)^n)^p \, dx\) [18]
\(\int x (a+b (c x)^n)^p \, dx\) [19]
\(\int (a+b (c x)^n)^p \, dx\) [20]
\(\int \genfrac {}{}{}{}{(a+b (c x)^n)^p}{x} \, dx\) [21]
\(\int \genfrac {}{}{}{}{(a+b (c x)^n)^p}{x^2} \, dx\) [22]
\(\int \genfrac {}{}{}{}{1}{1+(x^2)^{3/2}} \, dx\) [23]
\(\int x^5 \sqrt {a+b \sqrt {c x^2}} \, dx\) [24]
\(\int x^3 \sqrt {a+b \sqrt {c x^2}} \, dx\) [25]
\(\int x \sqrt {a+b \sqrt {c x^2}} \, dx\) [26]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^2}}}{x} \, dx\) [27]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^2}}}{x^3} \, dx\) [28]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^2}}}{x^5} \, dx\) [29]
\(\int x^4 \sqrt {a+b \sqrt {c x^2}} \, dx\) [30]
\(\int x^2 \sqrt {a+b \sqrt {c x^2}} \, dx\) [31]
\(\int \sqrt {a+b \sqrt {c x^2}} \, dx\) [32]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^2}}}{x^2} \, dx\) [33]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^2}}}{x^4} \, dx\) [34]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^2}}}{x^6} \, dx\) [35]
\(\int x^8 \sqrt {a+b (c x^2)^{3/2}} \, dx\) [36]
\(\int x^5 \sqrt {a+b (c x^2)^{3/2}} \, dx\) [37]
\(\int x^2 \sqrt {a+b (c x^2)^{3/2}} \, dx\) [38]
\(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^2)^{3/2}}}{x} \, dx\) [39]
\(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^2)^{3/2}}}{x^4} \, dx\) [40]
\(\int x^3 \sqrt {a+b (c x^2)^{3/2}} \, dx\) [41]
\(\int \sqrt {a+b (c x^2)^{3/2}} \, dx\) [42]
\(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^2)^{3/2}}}{x^3} \, dx\) [43]
\(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^2)^{3/2}}}{x^6} \, dx\) [44]
\(\int x^4 \sqrt {a+b (c x^2)^{3/2}} \, dx\) [45]
\(\int x \sqrt {a+b (c x^2)^{3/2}} \, dx\) [46]
\(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^2)^{3/2}}}{x^2} \, dx\) [47]
\(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^2)^{3/2}}}{x^5} \, dx\) [48]
\(\int (d x)^m \sqrt {a+b (c x^2)^{3/2}} \, dx\) [49]
\(\int (d x)^m \sqrt {a+b \sqrt {c x^2}} \, dx\) [50]
\(\int (d x)^m \sqrt {a+\genfrac {}{}{}{}{b}{\sqrt {c x^2}}} \, dx\) [51]
\(\int (d x)^m \sqrt {a+\genfrac {}{}{}{}{b}{(c x^2)^{3/2}}} \, dx\) [52]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {a+b x^{3/2}}} \, dx\) [53]
\(\int \genfrac {}{}{}{}{x}{\sqrt {x^3} \sqrt {a+b x^{3/2}}} \, dx\) [54]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {a+b \sqrt {x^3}}} \, dx\) [55]
\(\int \genfrac {}{}{}{}{x}{\sqrt {x^3} \sqrt {a+b \sqrt {x^3}}} \, dx\) [56]
\(\int \genfrac {}{}{}{}{1}{1+(x^3)^{2/3}} \, dx\) [57]
\(\int x^5 \sqrt {a+b \sqrt {c x^3}} \, dx\) [58]
\(\int x^2 \sqrt {a+b \sqrt {c x^3}} \, dx\) [59]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^3}}}{x} \, dx\) [60]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^3}}}{x^4} \, dx\) [61]
\(\int x \sqrt {a+b \sqrt {c x^3}} \, dx\) [62]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^3}}}{x^2} \, dx\) [63]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^3}}}{x^5} \, dx\) [64]
\(\int x^3 \sqrt {a+b \sqrt {c x^3}} \, dx\) [65]
\(\int \sqrt {a+b \sqrt {c x^3}} \, dx\) [66]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^3}}}{x^3} \, dx\) [67]
\(\int x^{17} \sqrt {a+b (c x^3)^{3/2}} \, dx\) [68]
\(\int x^8 \sqrt {a+b (c x^3)^{3/2}} \, dx\) [69]
\(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^3)^{3/2}}}{x} \, dx\) [70]
\(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^3)^{3/2}}}{x^{10}} \, dx\) [71]
\(\int x^2 \sqrt {a+b (c x^3)^{3/2}} \, dx\) [72]
\(\int x^9 \sqrt {a+b (c x^3)^{3/2}} \, dx\) [73]
\(\int \sqrt {a+b (c x^3)^{3/2}} \, dx\) [74]
\(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^3)^{3/2}}}{x^9} \, dx\) [75]
\(\int (d x)^m \sqrt {a+b (c x^3)^{3/2}} \, dx\) [76]
\(\int (d x)^m \sqrt {a+b \sqrt {c x^3}} \, dx\) [77]
\(\int (d x)^m \sqrt {a+\genfrac {}{}{}{}{b}{\sqrt {c x^3}}} \, dx\) [78]
\(\int (d x)^m \sqrt {a+\genfrac {}{}{}{}{b}{(c x^3)^{3/2}}} \, dx\) [79]
\(\int \sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}} x \, dx\) [80]
\(\int \sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}} \, dx\) [81]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}}}{x} \, dx\) [82]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}}}{x^2} \, dx\) [83]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}}}{x^3} \, dx\) [84]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}}}{x^4} \, dx\) [85]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}}} \, dx\) [86]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}}} \, dx\) [87]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}} x} \, dx\) [88]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}} x^2} \, dx\) [89]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}} x^3} \, dx\) [90]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}} x^4} \, dx\) [91]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+\sqrt {\genfrac {}{}{}{}{1}{x}}}} \, dx\) [92]
\(\int \sqrt {a+b (\genfrac {}{}{}{}{c}{x})^{3/2}} (d x)^m \, dx\) [93]
\(\int \sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}} (d x)^m \, dx\) [94]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{\sqrt {\genfrac {}{}{}{}{c}{x}}}} (d x)^m \, dx\) [95]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{(\genfrac {}{}{}{}{c}{x})^{3/2}}} (d x)^m \, dx\) [96]
\(\int \genfrac {}{}{}{}{(d x)^m}{\sqrt {a+b (\genfrac {}{}{}{}{c}{x})^{3/2}}} \, dx\) [97]
\(\int \genfrac {}{}{}{}{(d x)^m}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}}} \, dx\) [98]
\(\int \genfrac {}{}{}{}{(d x)^m}{\sqrt {a+\genfrac {}{}{}{}{b}{\sqrt {\genfrac {}{}{}{}{c}{x}}}}} \, dx\) [99]
\(\int \genfrac {}{}{}{}{(d x)^m}{\sqrt {a+\genfrac {}{}{}{}{b}{(\genfrac {}{}{}{}{c}{x})^{3/2}}}} \, dx\) [100]