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