3.1 Integrals 1 to 56

\(\int \genfrac {}{}{}{}{d+e x^3}{a+c x^6} \, dx\) [1]
\(\int \genfrac {}{}{}{}{d+e x^3}{a-c x^6} \, dx\) [2]
\(\int \genfrac {}{}{}{}{(d+e x^3)^{3/2}}{a+c x^6} \, dx\) [3]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^3}}{a+c x^6} \, dx\) [4]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x^3} (a+c x^6)} \, dx\) [5]
\(\int \genfrac {}{}{}{}{1}{(d+e x^3)^{3/2} (a+c x^6)} \, dx\) [6]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^6}}{\sqrt {1-x^3}} \, dx\) [7]
\(\int (d+e x^3) (a-c x^6)^p \, dx\) [8]
\(\int (d+e x^3) (a+c x^6)^p \, dx\) [9]
\(\int (d+e x^3)^q (a+c x^6)^p \, dx\) [10]
\(\int (1-x^3)^p (1-x^6)^p \, dx\) [11]
\(\int (d+e x^3)^q (d^2-e^2 x^6)^p \, dx\) [12]
\(\int (1-x^3)^{-p} (1-x^6)^p \, dx\) [13]
\(\int \genfrac {}{}{}{}{d+e x^4}{a-c x^8} \, dx\) [14]
\(\int \genfrac {}{}{}{}{d+e x^4}{a+c x^8} \, dx\) [15]
\(\int \genfrac {}{}{}{}{d+e x^4}{\sqrt {1-\genfrac {}{}{}{}{e^2 x^8}{d^2}}} \, dx\) [16]
\(\int \genfrac {}{}{}{}{d+e x^4}{\sqrt {d^2-e^2 x^8}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{d+e x^4}{\sqrt {a-c x^8}} \, dx\) [18]
\(\int \genfrac {}{}{}{}{d+e x^4}{\sqrt {a+c x^8}} \, dx\) [19]
\(\int (d+e x^4) (a-c x^8)^p \, dx\) [20]
\(\int (d+e x^4) (a+c x^8)^p \, dx\) [21]
\(\int (d+e x^4)^q (a+c x^8)^p \, dx\) [22]
\(\int (1-x^4)^p (1-x^8)^p \, dx\) [23]
\(\int (d+e x^4)^q (d^2-e^2 x^8)^p \, dx\) [24]
\(\int (1-x^4)^{-p} (1-x^8)^p \, dx\) [25]
\(\int \genfrac {}{}{}{}{(d+e x^n)^3}{a+c x^{2 n}} \, dx\) [26]
\(\int \genfrac {}{}{}{}{(d+e x^n)^2}{a+c x^{2 n}} \, dx\) [27]
\(\int \genfrac {}{}{}{}{d+e x^n}{a+c x^{2 n}} \, dx\) [28]
\(\int \genfrac {}{}{}{}{1}{(d+e x^n) (a+c x^{2 n})} \, dx\) [29]
\(\int \genfrac {}{}{}{}{1}{(d+e x^n)^2 (a+c x^{2 n})} \, dx\) [30]
\(\int \genfrac {}{}{}{}{d+e x^n}{a-c x^{2 n}} \, dx\) [31]
\(\int \genfrac {}{}{}{}{(d+e x^n)^3}{(a+c x^{2 n})^2} \, dx\) [32]
\(\int \genfrac {}{}{}{}{(d+e x^n)^2}{(a+c x^{2 n})^2} \, dx\) [33]
\(\int \genfrac {}{}{}{}{d+e x^n}{(a+c x^{2 n})^2} \, dx\) [34]
\(\int \genfrac {}{}{}{}{1}{(d+e x^n) (a+c x^{2 n})^2} \, dx\) [35]
\(\int \genfrac {}{}{}{}{1}{(d+e x^n)^2 (a+c x^{2 n})^2} \, dx\) [36]
\(\int \genfrac {}{}{}{}{(d+e x^n)^3}{(a+c x^{2 n})^3} \, dx\) [37]
\(\int \genfrac {}{}{}{}{(d+e x^n)^2}{(a+c x^{2 n})^3} \, dx\) [38]
\(\int \genfrac {}{}{}{}{d+e x^n}{(a+c x^{2 n})^3} \, dx\) [39]
\(\int \genfrac {}{}{}{}{1}{(d+e x^n) (a+c x^{2 n})^3} \, dx\) [40]
\(\int \genfrac {}{}{}{}{1}{(d+e x^n)^2 (a+c x^{2 n})^3} \, dx\) [41]
\(\int \genfrac {}{}{}{}{(d+e x^n)^{3/2}}{a+c x^{2 n}} \, dx\) [42]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^n}}{a+c x^{2 n}} \, dx\) [43]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x^n} (a+c x^{2 n})} \, dx\) [44]
\(\int \genfrac {}{}{}{}{1}{(d+e x^n)^{3/2} (a+c x^{2 n})} \, dx\) [45]
\(\int \genfrac {}{}{}{}{1}{(d+e x^n) \sqrt {a+c x^{2 n}}} \, dx\) [46]
\(\int (d+e x^n)^3 (a+c x^{2 n})^p \, dx\) [47]
\(\int (d+e x^n)^2 (a+c x^{2 n})^p \, dx\) [48]
\(\int (d+e x^n) (a+c x^{2 n})^p \, dx\) [49]
\(\int \genfrac {}{}{}{}{(a+c x^{2 n})^p}{d+e x^n} \, dx\) [50]
\(\int \genfrac {}{}{}{}{(a+c x^{2 n})^p}{(d+e x^n)^2} \, dx\) [51]
\(\int \genfrac {}{}{}{}{(a+c x^{2 n})^p}{(d+e x^n)^3} \, dx\) [52]
\(\int (d+e x^n)^q (a+c x^{2 n})^p \, dx\) [53]
\(\int (d+e x^n)^q (c d^2-c e^2 x^{2 n})^p \, dx\) [54]
\(\int (2-e x^n)^p (2+e x^n)^{p+q} \, dx\) [55]
\(\int (2+e x^n)^q (4-e^2 x^{2 n})^p \, dx\) [56]