3.1 Integrals 1 to 100

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