3.1 Integrals 1 to 100

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