3.1 \(\int (d+e x) \left (a+b x^2+c x^4\right ) \, dx\)
 3.2 \(\int \left (d+e x+f x^2\right ) \left (a+b x^2+c x^4\right ) \, dx\)
 3.3 \(\int \left (d+e x+f x^2+g x^3\right ) \left (a+b x^2+c x^4\right ) \, dx\)
 3.4 \(\int \left (a+b x^2+c x^4\right ) \left (d+e x+f x^2+g x^3+h x^4\right ) \, dx\)
 3.5 \(\int \left (a+b x^2+c x^4\right ) \left (d+e x+f x^2+g x^3+h x^4+i x^5\right ) \, dx\)
 3.6 \(\int (d+e x) \left (a+b x^2+c x^4\right )^2 \, dx\)
 3.7 \(\int \left (d+e x+f x^2\right ) \left (a+b x^2+c x^4\right )^2 \, dx\)
 3.8 \(\int \left (d+e x+f x^2+g x^3\right ) \left (a+b x^2+c x^4\right )^2 \, dx\)
 3.9 \(\int \left (a+b x^2+c x^4\right )^2 \left (d+e x+f x^2+g x^3+h x^4\right ) \, dx\)
 3.10 \(\int \frac{d+e x}{4-5 x^2+x^4} \, dx\)
 3.11 \(\int \frac{d+e x+f x^2}{4-5 x^2+x^4} \, dx\)
 3.12 \(\int \frac{d+e x+f x^2+g x^3}{4-5 x^2+x^4} \, dx\)
 3.13 \(\int \frac{d+e x+f x^2+g x^3+h x^4}{4-5 x^2+x^4} \, dx\)
 3.14 \(\int \frac{d+e x+f x^2+g x^3+h x^4+i x^5}{4-5 x^2+x^4} \, dx\)
 3.15 \(\int \frac{d+e x}{1+x^2+x^4} \, dx\)
 3.16 \(\int \frac{d+e x+f x^2}{1+x^2+x^4} \, dx\)
 3.17 \(\int \frac{d+e x+f x^2+g x^3}{1+x^2+x^4} \, dx\)
 3.18 \(\int \frac{d+e x+f x^2+g x^3+h x^4}{1+x^2+x^4} \, dx\)
 3.19 \(\int \frac{d+e x+f x^2+g x^3+h x^4+i x^5}{1+x^2+x^4} \, dx\)
 3.20 \(\int \frac{d+e x}{a+b x^2+c x^4} \, dx\)
 3.21 \(\int \frac{d+e x+f x^2}{a+b x^2+c x^4} \, dx\)
 3.22 \(\int \frac{d+e x+f x^2+g x^3}{a+b x^2+c x^4} \, dx\)
 3.23 \(\int \frac{d+e x+f x^2+g x^3+h x^4}{a+b x^2+c x^4} \, dx\)
 3.24 \(\int \frac{d+e x+f x^2+g x^3+h x^4+i x^5}{a+b x^2+c x^4} \, dx\)
 3.25 \(\int \frac{d+e x+f x^2+g x^3+h x^4+j x^5+k x^6+l x^7+m x^8}{a+b x^2+c x^4} \, dx\)
 3.26 \(\int \frac{d+e x}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.27 \(\int \frac{d+e x+f x^2}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.28 \(\int \frac{d+e x+f x^2+g x^3}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.29 \(\int \frac{d+e x+f x^2+g x^3+h x^4}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.30 \(\int \frac{d+e x+f x^2+g x^3+h x^4+i x^5}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.31 \(\int \frac{d+e x}{\left (1+x^2+x^4\right )^2} \, dx\)
 3.32 \(\int \frac{d+e x+f x^2}{\left (1+x^2+x^4\right )^2} \, dx\)
 3.33 \(\int \frac{d+e x+f x^2+g x^3}{\left (1+x^2+x^4\right )^2} \, dx\)
 3.34 \(\int \frac{d+e x+f x^2+g x^3+h x^4}{\left (1+x^2+x^4\right )^2} \, dx\)
 3.35 \(\int \frac{d+e x+f x^2+g x^3+h x^4+i x^5}{\left (1+x^2+x^4\right )^2} \, dx\)
 3.36 \(\int \frac{d+e x}{\left (a+b x^2+c x^4\right )^2} \, dx\)
 3.37 \(\int \frac{d+e x+f x^2}{\left (a+b x^2+c x^4\right )^2} \, dx\)
 3.38 \(\int \frac{d+e x+f x^2+g x^3}{\left (a+b x^2+c x^4\right )^2} \, dx\)
 3.39 \(\int \frac{d+e x+f x^2+g x^3+h x^4}{\left (a+b x^2+c x^4\right )^2} \, dx\)
 3.40 \(\int \frac{d+e x+f x^2+g x^3+h x^4+i x^5}{\left (a+b x^2+c x^4\right )^2} \, dx\)
 3.41 \(\int \frac{d+e x+f x^2+g x^3+h x^4+j x^5+k x^6+l x^7+m x^8}{\left (a+b x^2+c x^4\right )^2} \, dx\)
 3.42 \(\int \frac{d+e x}{\left (4-5 x^2+x^4\right )^3} \, dx\)
 3.43 \(\int \frac{d+e x+f x^2}{\left (4-5 x^2+x^4\right )^3} \, dx\)
 3.44 \(\int \frac{d+e x+f x^2+g x^3}{\left (4-5 x^2+x^4\right )^3} \, dx\)
 3.45 \(\int \frac{d+e x+f x^2+g x^3+h x^4}{\left (4-5 x^2+x^4\right )^3} \, dx\)
 3.46 \(\int \frac{d+e x+f x^2+g x^3+h x^4+i x^5}{\left (4-5 x^2+x^4\right )^3} \, dx\)
 3.47 \(\int \frac{d+e x}{\left (1+x^2+x^4\right )^3} \, dx\)
 3.48 \(\int \frac{d+e x+f x^2}{\left (1+x^2+x^4\right )^3} \, dx\)
 3.49 \(\int \frac{d+e x+f x^2+g x^3}{\left (1+x^2+x^4\right )^3} \, dx\)
 3.50 \(\int \frac{d+e x+f x^2+g x^3+h x^4}{\left (1+x^2+x^4\right )^3} \, dx\)
 3.51 \(\int \frac{d+e x+f x^2+g x^3+h x^4+i x^5}{\left (1+x^2+x^4\right )^3} \, dx\)
 3.52 \(\int \frac{d+e x}{\left (a+b x^2+c x^4\right )^3} \, dx\)
 3.53 \(\int \frac{d+e x+f x^2}{\left (a+b x^2+c x^4\right )^3} \, dx\)
 3.54 \(\int \frac{d+e x+f x^2+g x^3}{\left (a+b x^2+c x^4\right )^3} \, dx\)
 3.55 \(\int \frac{d+e x+f x^2+g x^3+h x^4}{\left (a+b x^2+c x^4\right )^3} \, dx\)
 3.56 \(\int \frac{d+e x+f x^2+g x^3+h x^4+i x^5}{\left (a+b x^2+c x^4\right )^3} \, dx\)
 3.57 \(\int \frac{d+e x+f x^2+g x^3+h x^4+j x^5+k x^6+l x^7+m x^8}{\left (a+b x^2+c x^4\right )^3} \, dx\)
 3.58 \(\int \frac{d+e x+f x^2+g x^3+h x^4+i x^5+j x^6+k x^7}{\left (a+b x^2+c x^4\right )^2} \, dx\)
 3.59 \(\int \frac{d+e x+f x^2+g x^3+h x^4+i x^5+j x^8+k x^{11}}{\left (a+b x^2+c x^4\right )^3} \, dx\)
 3.60 \(\int \left (a+b x^2+c x^4\right )^3 \left (a d+a e x+(b d+a f) x^2+b e x^3+(c d+b f) x^4+c e x^5+c f x^6\right ) \, dx\)
 3.61 \(\int \left (a+b x^2+c x^4\right )^2 \left (a d+a e x+(b d+a f) x^2+b e x^3+(c d+b f) x^4+c e x^5+c f x^6\right ) \, dx\)
 3.62 \(\int \left (a+b x^2+c x^4\right ) \left (a d+a e x+(b d+a f) x^2+b e x^3+(c d+b f) x^4+c e x^5+c f x^6\right ) \, dx\)
 3.63 \(\int \frac{a d+a e x+(b d+a f) x^2+b e x^3+(c d+b f) x^4+c e x^5+c f x^6}{a+b x^2+c x^4} \, dx\)
 3.64 \(\int \frac{a d+a e x+(b d+a f) x^2+b e x^3+(c d+b f) x^4+c e x^5+c f x^6}{\left (a+b x^2+c x^4\right )^2} \, dx\)
 3.65 \(\int \frac{a d+a e x+(b d+a f) x^2+b e x^3+(c d+b f) x^4+c e x^5+c f x^6}{\left (a+b x^2+c x^4\right )^3} \, dx\)
 3.66 \(\int \frac{a d+a e x+(b d+a f) x^2+b e x^3+(c d+b f) x^4+c e x^5+c f x^6}{\left (a+b x^2+c x^4\right )^4} \, dx\)
 3.67 \(\int \frac{2-x-2 x^2+x^3}{4-5 x^2+x^4} \, dx\)
 3.68 \(\int \frac{(d+e x) \left (2-x-2 x^2+x^3\right )}{4-5 x^2+x^4} \, dx\)
 3.69 \(\int \frac{\left (d+e x+f x^2\right ) \left (2-x-2 x^2+x^3\right )}{4-5 x^2+x^4} \, dx\)
 3.70 \(\int \frac{\left (2-x-2 x^2+x^3\right ) \left (d+e x+f x^2+g x^3\right )}{4-5 x^2+x^4} \, dx\)
 3.71 \(\int \frac{\left (2-x-2 x^2+x^3\right ) \left (d+e x+f x^2+g x^3+h x^4\right )}{4-5 x^2+x^4} \, dx\)
 3.72 \(\int \frac{\left (2-x-2 x^2+x^3\right ) \left (d+e x+f x^2+g x^3+h x^4+i x^5\right )}{4-5 x^2+x^4} \, dx\)
 3.73 \(\int \frac{2-3 x+x^2}{4-5 x^2+x^4} \, dx\)
 3.74 \(\int \frac{(d+e x) \left (2-3 x+x^2\right )}{4-5 x^2+x^4} \, dx\)
 3.75 \(\int \frac{\left (2-3 x+x^2\right ) \left (d+e x+f x^2\right )}{4-5 x^2+x^4} \, dx\)
 3.76 \(\int \frac{\left (2-3 x+x^2\right ) \left (d+e x+f x^2+g x^3\right )}{4-5 x^2+x^4} \, dx\)
 3.77 \(\int \frac{\left (2-3 x+x^2\right ) \left (d+e x+f x^2+g x^3+h x^4\right )}{4-5 x^2+x^4} \, dx\)
 3.78 \(\int \frac{\left (2-3 x+x^2\right ) \left (d+e x+f x^2+g x^3+h x^4+i x^5\right )}{4-5 x^2+x^4} \, dx\)
 3.79 \(\int \frac{2+x}{4-5 x^2+x^4} \, dx\)
 3.80 \(\int \frac{(2+x) (d+e x)}{4-5 x^2+x^4} \, dx\)
 3.81 \(\int \frac{(2+x) \left (d+e x+f x^2\right )}{4-5 x^2+x^4} \, dx\)
 3.82 \(\int \frac{(2+x) \left (d+e x+f x^2+g x^3\right )}{4-5 x^2+x^4} \, dx\)
 3.83 \(\int \frac{(2+x) \left (d+e x+f x^2+g x^3+h x^4\right )}{4-5 x^2+x^4} \, dx\)
 3.84 \(\int \frac{(2+x) \left (d+e x+f x^2+g x^3+h x^4+i x^5\right )}{4-5 x^2+x^4} \, dx\)
 3.85 \(\int \frac{2-x-2 x^2+x^3}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.86 \(\int \frac{(d+e x) \left (2-x-2 x^2+x^3\right )}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.87 \(\int \frac{\left (d+e x+f x^2\right ) \left (2-x-2 x^2+x^3\right )}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.88 \(\int \frac{\left (2-x-2 x^2+x^3\right ) \left (d+e x+f x^2+g x^3\right )}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.89 \(\int \frac{\left (2-x-2 x^2+x^3\right ) \left (d+e x+f x^2+g x^3+h x^4\right )}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.90 \(\int \frac{\left (2-x-2 x^2+x^3\right ) \left (d+e x+f x^2+g x^3+h x^4+i x^5\right )}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.91 \(\int \frac{2-3 x+x^2}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.92 \(\int \frac{(d+e x) \left (2-3 x+x^2\right )}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.93 \(\int \frac{\left (2-3 x+x^2\right ) \left (d+e x+f x^2\right )}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.94 \(\int \frac{\left (2-3 x+x^2\right ) \left (d+e x+f x^2+g x^3\right )}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.95 \(\int \frac{\left (2-3 x+x^2\right ) \left (d+e x+f x^2+g x^3+h x^4\right )}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.96 \(\int \frac{\left (2-3 x+x^2\right ) \left (d+e x+f x^2+g x^3+h x^4+i x^5\right )}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.97 \(\int \frac{2+x}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.98 \(\int \frac{(2+x) (d+e x)}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.99 \(\int \frac{(2+x) \left (d+e x+f x^2\right )}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.100 \(\int \frac{(2+x) \left (d+e x+f x^2+g x^3\right )}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.101 \(\int \frac{(2+x) \left (d+e x+f x^2+g x^3+h x^4\right )}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.102 \(\int \frac{(2+x) \left (d+e x+f x^2+g x^3+h x^4+i x^5\right )}{\left (4-5 x^2+x^4\right )^2} \, dx\)
 3.103 \(\int \left (d+e x+f x^2+g x^3\right ) \left (a+b x^2+c x^4\right )^{3/2} \, dx\)
 3.104 \(\int \left (d+e x+f x^2+g x^3\right ) \sqrt{a+b x^2+c x^4} \, dx\)
 3.105 \(\int \frac{d+e x+f x^2+g x^3}{\sqrt{a+b x^2+c x^4}} \, dx\)
 3.106 \(\int \frac{d+e x+f x^2+g x^3}{\left (a+b x^2+c x^4\right )^{3/2}} \, dx\)
 3.107 \(\int \frac{d+e x+f x^2+g x^3}{\left (a+b x^2+c x^4\right )^{5/2}} \, dx\)
 3.108 \(\int \frac{a g-c g x^4}{\left (a+b x^2+c x^4\right )^{3/2}} \, dx\)
 3.109 \(\int \frac{a g+e x-c g x^4}{\left (a+b x^2+c x^4\right )^{3/2}} \, dx\)
 3.110 \(\int \frac{a g+f x^3-c g x^4}{\left (a+b x^2+c x^4\right )^{3/2}} \, dx\)
 3.111 \(\int \frac{a g+e x+f x^3-c g x^4}{\left (a+b x^2+c x^4\right )^{3/2}} \, dx\)