3.1 Integrals 1 to 100

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