3.1 Integrals 1 to 100

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