3.1 Integrals 1 to 100

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