Chapter 3
Listing of integrals

 3.1 \(\int \frac{d+e x^3}{a+c x^6} \, dx\)
 3.2 \(\int \frac{d+e x^3}{a-c x^6} \, dx\)
 3.3 \(\int \frac{d+e x^4}{a+c x^8} \, dx\)
 3.4 \(\int \frac{d+e x^4}{a-c x^8} \, dx\)
 3.5 \(\int \frac{d+e x^4}{d^2+b x^4+e^2 x^8} \, dx\)
 3.6 \(\int \frac{d+e x^4}{d^2+f x^4+e^2 x^8} \, dx\)
 3.7 \(\int \frac{d+e x^4}{d^2-b x^4+e^2 x^8} \, dx\)
 3.8 \(\int \frac{d+e x^4}{d^2-f x^4+e^2 x^8} \, dx\)
 3.9 \(\int \frac{1+x^4}{1+b x^4+x^8} \, dx\)
 3.10 \(\int \frac{1+x^4}{1+3 x^4+x^8} \, dx\)
 3.11 \(\int \frac{1+x^4}{1+2 x^4+x^8} \, dx\)
 3.12 \(\int \frac{1+x^4}{1+x^4+x^8} \, dx\)
 3.13 \(\int \frac{1+x^4}{1+x^8} \, dx\)
 3.14 \(\int \frac{1+x^4}{1-x^4+x^8} \, dx\)
 3.15 \(\int \frac{1+x^4}{1-2 x^4+x^8} \, dx\)
 3.16 \(\int \frac{1+x^4}{1-3 x^4+x^8} \, dx\)
 3.17 \(\int \frac{1+x^4}{1-4 x^4+x^8} \, dx\)
 3.18 \(\int \frac{1+x^4}{1-5 x^4+x^8} \, dx\)
 3.19 \(\int \frac{1+x^4}{1-6 x^4+x^8} \, dx\)
 3.20 \(\int \frac{1-x^4}{1+b x^4+x^8} \, dx\)
 3.21 \(\int \frac{1-x^4}{1+3 x^4+x^8} \, dx\)
 3.22 \(\int \frac{1-x^4}{1+2 x^4+x^8} \, dx\)
 3.23 \(\int \frac{1-x^4}{1+x^4+x^8} \, dx\)
 3.24 \(\int \frac{1-x^4}{1+x^8} \, dx\)
 3.25 \(\int \frac{1-x^4}{1-x^4+x^8} \, dx\)
 3.26 \(\int \frac{1-x^4}{1-2 x^4+x^8} \, dx\)
 3.27 \(\int \frac{1-x^4}{1-3 x^4+x^8} \, dx\)
 3.28 \(\int \frac{1-x^4}{1-4 x^4+x^8} \, dx\)
 3.29 \(\int \frac{1-x^4}{1-5 x^4+x^8} \, dx\)
 3.30 \(\int \frac{1-x^4}{1-6 x^4+x^8} \, dx\)
 3.31 \(\int \frac{-1+\sqrt{3}+2 x^4}{1-x^4+x^8} \, dx\)
 3.32 \(\int \frac{1+(1+\sqrt{3}) x^4}{1-x^4+x^8} \, dx\)
 3.33 \(\int \frac{3-2 \sqrt{3}+(-3+\sqrt{3}) x^4}{1-x^4+x^8} \, dx\)
 3.34 \(\int \frac{d+\frac{e}{x}}{c+\frac{a}{x^2}} \, dx\)
 3.35 \(\int \frac{d+\frac{e}{x}}{c+\frac{a}{x^2}+\frac{b}{x}} \, dx\)
 3.36 \(\int \frac{d+\frac{e}{x^2}}{c+\frac{a}{x^4}} \, dx\)
 3.37 \(\int \frac{d+\frac{e}{x^2}}{c+\frac{a}{x^4}+\frac{b}{x^2}} \, dx\)
 3.38 \(\int \frac{d+\frac{e}{x^3}}{c+\frac{a}{x^6}} \, dx\)
 3.39 \(\int \frac{d+\frac{e}{x^3}}{c+\frac{a}{x^6}+\frac{b}{x^3}} \, dx\)
 3.40 \(\int \frac{d+\frac{e}{x^4}}{c+\frac{a}{x^8}} \, dx\)
 3.41 \(\int \frac{d+\frac{e}{x^4}}{c+\frac{a}{x^8}+\frac{b}{x^4}} \, dx\)
 3.42 \(\int \frac{(d+e x^n)^3}{a+c x^{2 n}} \, dx\)
 3.43 \(\int \frac{(d+e x^n)^2}{a+c x^{2 n}} \, dx\)
 3.44 \(\int \frac{d+e x^n}{a+c x^{2 n}} \, dx\)
 3.45 \(\int \frac{1}{(d+e x^n) (a+c x^{2 n})} \, dx\)
 3.46 \(\int \frac{1}{(d+e x^n)^2 (a+c x^{2 n})} \, dx\)
 3.47 \(\int \frac{d+e x^n}{a-c x^{2 n}} \, dx\)
 3.48 \(\int \frac{(d+e x^n)^3}{(a+c x^{2 n})^2} \, dx\)
 3.49 \(\int \frac{(d+e x^n)^2}{(a+c x^{2 n})^2} \, dx\)
 3.50 \(\int \frac{d+e x^n}{(a+c x^{2 n})^2} \, dx\)
 3.51 \(\int \frac{1}{(d+e x^n) (a+c x^{2 n})^2} \, dx\)
 3.52 \(\int \frac{1}{(d+e x^n)^2 (a+c x^{2 n})^2} \, dx\)
 3.53 \(\int \frac{(d+e x^n)^3}{(a+c x^{2 n})^3} \, dx\)
 3.54 \(\int \frac{(d+e x^n)^2}{(a+c x^{2 n})^3} \, dx\)
 3.55 \(\int \frac{d+e x^n}{(a+c x^{2 n})^3} \, dx\)
 3.56 \(\int \frac{1}{(d+e x^n) (a+c x^{2 n})^3} \, dx\)
 3.57 \(\int \frac{1}{(d+e x^n)^2 (a+c x^{2 n})^3} \, dx\)
 3.58 \(\int \frac{1}{(d+e x^n) \sqrt{a+c x^{2 n}}} \, dx\)
 3.59 \(\int (d+e x^n)^q (a+c x^{2 n})^p \, dx\)
 3.60 \(\int (d+e x^n)^3 (a+c x^{2 n})^p \, dx\)
 3.61 \(\int (d+e x^n)^2 (a+c x^{2 n})^p \, dx\)
 3.62 \(\int (d+e x^n) (a+c x^{2 n})^p \, dx\)
 3.63 \(\int \frac{(a+c x^{2 n})^p}{d+e x^n} \, dx\)
 3.64 \(\int \frac{(a+c x^{2 n})^p}{(d+e x^n)^2} \, dx\)
 3.65 \(\int \frac{(a+c x^{2 n})^p}{(d+e x^n)^3} \, dx\)
 3.66 \(\int (d+e x^n) (a+b x^n+c x^{2 n}) \, dx\)
 3.67 \(\int (d+e x^n) (a+b x^n+c x^{2 n})^2 \, dx\)
 3.68 \(\int (d+e x^n) (a+b x^n+c x^{2 n})^3 \, dx\)
 3.69 \(\int \frac{(d+e x^n)^3}{a+b x^n+c x^{2 n}} \, dx\)
 3.70 \(\int \frac{(d+e x^n)^2}{a+b x^n+c x^{2 n}} \, dx\)
 3.71 \(\int \frac{d+e x^n}{a+b x^n+c x^{2 n}} \, dx\)
 3.72 \(\int \frac{1}{(d+e x^n) (a+b x^n+c x^{2 n})} \, dx\)
 3.73 \(\int \frac{1}{(d+e x^n)^2 (a+b x^n+c x^{2 n})} \, dx\)
 3.74 \(\int \frac{1}{(d+e x^n)^3 (a+b x^n+c x^{2 n})} \, dx\)
 3.75 \(\int \frac{(d+e x^n)^3}{(a+b x^n+c x^{2 n})^2} \, dx\)
 3.76 \(\int \frac{(d+e x^n)^2}{(a+b x^n+c x^{2 n})^2} \, dx\)
 3.77 \(\int \frac{d+e x^n}{(a+b x^n+c x^{2 n})^2} \, dx\)
 3.78 \(\int \frac{1}{(d+e x^n) (a+b x^n+c x^{2 n})^2} \, dx\)
 3.79 \(\int \frac{1}{(d+e x^n)^2 (a+b x^n+c x^{2 n})^2} \, dx\)
 3.80 \(\int \frac{(d+e x^n)^3}{(a+b x^n+c x^{2 n})^3} \, dx\)
 3.81 \(\int \frac{(d+e x^n)^2}{(a+b x^n+c x^{2 n})^3} \, dx\)
 3.82 \(\int \frac{d+e x^n}{(a+b x^n+c x^{2 n})^3} \, dx\)
 3.83 \(\int \frac{1}{(d+e x^n) (a+b x^n+c x^{2 n})^3} \, dx\)
 3.84 \(\int \frac{1}{(d+e x^n)^2 (a+b x^n+c x^{2 n})^3} \, dx\)
 3.85 \(\int (d+e x^n) \sqrt{a+b x^n+c x^{2 n}} \, dx\)
 3.86 \(\int (d+e x^n) (a+b x^n+c x^{2 n})^{3/2} \, dx\)
 3.87 \(\int \frac{d+e x^n}{\sqrt{a+b x^n+c x^{2 n}}} \, dx\)
 3.88 \(\int \frac{d+e x^n}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\)
 3.89 \(\int \frac{d+e x^n}{(a+b x^n+c x^{2 n})^{5/2}} \, dx\)
 3.90 \(\int (d+e x^n)^q (a+b x^n+c x^{2 n})^p \, dx\)
 3.91 \(\int (d+e x^n)^3 (a+b x^n+c x^{2 n})^p \, dx\)
 3.92 \(\int (d+e x^n)^2 (a+b x^n+c x^{2 n})^p \, dx\)
 3.93 \(\int (d+e x^n) (a+b x^n+c x^{2 n})^p \, dx\)
 3.94 \(\int \frac{(a+b x^n+c x^{2 n})^p}{d+e x^n} \, dx\)
 3.95 \(\int \frac{(a+b x^n+c x^{2 n})^p}{(d+e x^n)^2} \, dx\)
 3.96 \(\int \frac{(a+b x^n+c x^{2 n})^p}{(d+e x^n)^3} \, dx\)