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