3.1 Integrals 1 to 100

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