3.4.1 \(\int \genfrac {}{}{}{}{(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^2} \, dx\) [301]
3.4.2 \(\int \genfrac {}{}{}{}{(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^3} \, dx\) [302]
3.4.3 \(\int \genfrac {}{}{}{}{(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^4} \, dx\) [303]
3.4.4 \(\int \genfrac {}{}{}{}{(d+e x)^3 (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\) [304]
3.4.5 \(\int \genfrac {}{}{}{}{(d+e x)^2 (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\) [305]
3.4.6 \(\int \genfrac {}{}{}{}{(d+e x) (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\) [306]
3.4.7 \(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{3+2 x+5 x^2} \, dx\) [307]
3.4.8 \(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x) (3+2 x+5 x^2)} \, dx\) [308]
3.4.9 \(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^2 (3+2 x+5 x^2)} \, dx\) [309]
3.4.10 \(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^3 (3+2 x+5 x^2)} \, dx\) [310]
3.4.11 \(\int \genfrac {}{}{}{}{(d+e x)^3 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\) [311]
3.4.12 \(\int \genfrac {}{}{}{}{(d+e x)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\) [312]
3.4.13 \(\int \genfrac {}{}{}{}{(d+e x) (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\) [313]
3.4.14 \(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(3+2 x+5 x^2)^2} \, dx\) [314]
3.4.15 \(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x) (3+2 x+5 x^2)^2} \, dx\) [315]
3.4.16 \(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^2 (3+2 x+5 x^2)^2} \, dx\) [316]
3.4.17 \(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^3 (3+2 x+5 x^2)^2} \, dx\) [317]
3.4.18 \(\int \genfrac {}{}{}{}{(d+e x)^3 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^3} \, dx\) [318]
3.4.19 \(\int \genfrac {}{}{}{}{(d+e x)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^3} \, dx\) [319]
3.4.20 \(\int \genfrac {}{}{}{}{(d+e x) (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^3} \, dx\) [320]
3.4.21 \(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(3+2 x+5 x^2)^3} \, dx\) [321]
3.4.22 \(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x) (3+2 x+5 x^2)^3} \, dx\) [322]
3.4.23 \(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^2 (3+2 x+5 x^2)^3} \, dx\) [323]
3.4.24 \(\int (5+2 x) \sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4) \, dx\) [324]
3.4.25 \(\int \sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4) \, dx\) [325]
3.4.26 \(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{5+2 x} \, dx\) [326]
3.4.27 \(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^2} \, dx\) [327]
3.4.28 \(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^3} \, dx\) [328]
3.4.29 \(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^4} \, dx\) [329]
3.4.30 \(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^5} \, dx\) [330]
3.4.31 \(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^6} \, dx\) [331]
3.4.32 \(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^7} \, dx\) [332]
3.4.33 \(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^8} \, dx\) [333]
3.4.34 \(\int (5+2 x) (3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4) \, dx\) [334]
3.4.35 \(\int (3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4) \, dx\) [335]
3.4.36 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{5+2 x} \, dx\) [336]
3.4.37 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^2} \, dx\) [337]
3.4.38 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^3} \, dx\) [338]
3.4.39 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^4} \, dx\) [339]
3.4.40 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^5} \, dx\) [340]
3.4.41 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^6} \, dx\) [341]
3.4.42 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^7} \, dx\) [342]
3.4.43 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^8} \, dx\) [343]
3.4.44 \(\int \genfrac {}{}{}{}{(5+2 x) (2+x+3 x^2-x^3+5 x^4)}{\sqrt {3-x+2 x^2}} \, dx\) [344]
3.4.45 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{\sqrt {3-x+2 x^2}} \, dx\) [345]
3.4.46 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x) \sqrt {3-x+2 x^2}} \, dx\) [346]
3.4.47 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^2 \sqrt {3-x+2 x^2}} \, dx\) [347]
3.4.48 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^3 \sqrt {3-x+2 x^2}} \, dx\) [348]
3.4.49 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^4 \sqrt {3-x+2 x^2}} \, dx\) [349]
3.4.50 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^5 \sqrt {3-x+2 x^2}} \, dx\) [350]
3.4.51 \(\int \genfrac {}{}{}{}{(5+2 x)^2 (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{3/2}} \, dx\) [351]
3.4.52 \(\int \genfrac {}{}{}{}{(5+2 x) (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{3/2}} \, dx\) [352]
3.4.53 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(3-x+2 x^2)^{3/2}} \, dx\) [353]
3.4.54 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x) (3-x+2 x^2)^{3/2}} \, dx\) [354]
3.4.55 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^2 (3-x+2 x^2)^{3/2}} \, dx\) [355]
3.4.56 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^3 (3-x+2 x^2)^{3/2}} \, dx\) [356]
3.4.57 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^4 (3-x+2 x^2)^{3/2}} \, dx\) [357]
3.4.58 \(\int \genfrac {}{}{}{}{(5+2 x)^2 (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{5/2}} \, dx\) [358]
3.4.59 \(\int \genfrac {}{}{}{}{(5+2 x) (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{5/2}} \, dx\) [359]
3.4.60 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(3-x+2 x^2)^{5/2}} \, dx\) [360]
3.4.61 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x) (3-x+2 x^2)^{5/2}} \, dx\) [361]
3.4.62 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^2 (3-x+2 x^2)^{5/2}} \, dx\) [362]
3.4.63 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^3 (3-x+2 x^2)^{5/2}} \, dx\) [363]
3.4.64 \(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^4 (3-x+2 x^2)^{5/2}} \, dx\) [364]
3.4.65 \(\int \genfrac {}{}{}{}{f+g x+h x^2+i x^3+j x^4}{(a+b x+c x^2)^{5/2}} \, dx\) [365]
3.4.66 \(\int \genfrac {}{}{}{}{f+g x+h x^2+i x^3+j x^4}{(a+b x-c x^2)^{5/2}} \, dx\) [366]
3.4.67 \(\int (d+e x)^m (3+2 x+5 x^2)^3 (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [367]
3.4.68 \(\int (d+e x)^m (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [368]
3.4.69 \(\int (d+e x)^m (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [369]
3.4.70 \(\int \genfrac {}{}{}{}{(d+e x)^m (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\) [370]
3.4.71 \(\int \genfrac {}{}{}{}{(d+e x)^m (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\) [371]
3.4.72 \(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3+h x^4+i x^5}{(a+b x+c x^2)^3} \, dx\) [372]
3.4.73 \(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3+h x^4+j x^5+k x^6+l x^7+m x^8}{a+b x+c x^2} \, dx\) [373]
3.4.74 \(\int (1+4 x-7 x^2)^3 (2+5 x+x^2) \sqrt {3+2 x+5 x^2} \, dx\) [374]
3.4.75 \(\int (1+4 x-7 x^2)^2 (2+5 x+x^2) \sqrt {3+2 x+5 x^2} \, dx\) [375]
3.4.76 \(\int (1+4 x-7 x^2) (2+5 x+x^2) \sqrt {3+2 x+5 x^2} \, dx\) [376]
3.4.77 \(\int \genfrac {}{}{}{}{(2+5 x+x^2) \sqrt {3+2 x+5 x^2}}{1+4 x-7 x^2} \, dx\) [377]
3.4.78 \(\int \genfrac {}{}{}{}{(2+5 x+x^2) \sqrt {3+2 x+5 x^2}}{(1+4 x-7 x^2)^2} \, dx\) [378]
3.4.79 \(\int \genfrac {}{}{}{}{(2+5 x+x^2) \sqrt {3+2 x+5 x^2}}{(1+4 x-7 x^2)^3} \, dx\) [379]
3.4.80 \(\int (1+4 x-7 x^2)^3 (2+5 x+x^2) (3+2 x+5 x^2)^{3/2} \, dx\) [380]
3.4.81 \(\int (1+4 x-7 x^2)^2 (2+5 x+x^2) (3+2 x+5 x^2)^{3/2} \, dx\) [381]
3.4.82 \(\int (1+4 x-7 x^2) (2+5 x+x^2) (3+2 x+5 x^2)^{3/2} \, dx\) [382]
3.4.83 \(\int \genfrac {}{}{}{}{(2+5 x+x^2) (3+2 x+5 x^2)^{3/2}}{1+4 x-7 x^2} \, dx\) [383]
3.4.84 \(\int \genfrac {}{}{}{}{(2+5 x+x^2) (3+2 x+5 x^2)^{3/2}}{(1+4 x-7 x^2)^2} \, dx\) [384]
3.4.85 \(\int \genfrac {}{}{}{}{(2+5 x+x^2) (3+2 x+5 x^2)^{3/2}}{(1+4 x-7 x^2)^3} \, dx\) [385]
3.4.86 \(\int \genfrac {}{}{}{}{(1+4 x-7 x^2)^3 (2+5 x+x^2)}{\sqrt {3+2 x+5 x^2}} \, dx\) [386]
3.4.87 \(\int \genfrac {}{}{}{}{(1+4 x-7 x^2)^2 (2+5 x+x^2)}{\sqrt {3+2 x+5 x^2}} \, dx\) [387]
3.4.88 \(\int \genfrac {}{}{}{}{(1+4 x-7 x^2) (2+5 x+x^2)}{\sqrt {3+2 x+5 x^2}} \, dx\) [388]
3.4.89 \(\int \genfrac {}{}{}{}{2+5 x+x^2}{(1+4 x-7 x^2) \sqrt {3+2 x+5 x^2}} \, dx\) [389]
3.4.90 \(\int \genfrac {}{}{}{}{2+5 x+x^2}{(1+4 x-7 x^2)^2 \sqrt {3+2 x+5 x^2}} \, dx\) [390]
3.4.91 \(\int \genfrac {}{}{}{}{2+5 x+x^2}{(1+4 x-7 x^2)^3 \sqrt {3+2 x+5 x^2}} \, dx\) [391]
3.4.92 \(\int \genfrac {}{}{}{}{(1+4 x-7 x^2)^3 (2+5 x+x^2)}{(3+2 x+5 x^2)^{3/2}} \, dx\) [392]
3.4.93 \(\int \genfrac {}{}{}{}{(1+4 x-7 x^2)^2 (2+5 x+x^2)}{(3+2 x+5 x^2)^{3/2}} \, dx\) [393]
3.4.94 \(\int \genfrac {}{}{}{}{(1+4 x-7 x^2) (2+5 x+x^2)}{(3+2 x+5 x^2)^{3/2}} \, dx\) [394]
3.4.95 \(\int \genfrac {}{}{}{}{2+5 x+x^2}{(1+4 x-7 x^2) (3+2 x+5 x^2)^{3/2}} \, dx\) [395]
3.4.96 \(\int \genfrac {}{}{}{}{2+5 x+x^2}{(1+4 x-7 x^2)^2 (3+2 x+5 x^2)^{3/2}} \, dx\) [396]
3.4.97 \(\int \genfrac {}{}{}{}{2+5 x+x^2}{(1+4 x-7 x^2)^3 (3+2 x+5 x^2)^{3/2}} \, dx\) [397]
3.4.98 \(\int (a+c x^2)^p (A+C x^2) (d+f x^2)^q \, dx\) [398]
3.4.99 \(\int (A+B x) (a+c x^2)^p (d+f x^2)^q \, dx\) [399]
3.4.100 \(\int (a+c x^2)^p (A+B x+C x^2) (d+f x^2)^q \, dx\) [400]