3.27.1 \(\int \genfrac {}{}{}{}{(5-x) (2+5 x+3 x^2)^{5/2}}{(3+2 x)^{9/2}} \, dx\) [2601]
3.27.2 \(\int \genfrac {}{}{}{}{(5-x) (2+5 x+3 x^2)^{5/2}}{(3+2 x)^{11/2}} \, dx\) [2602]
3.27.3 \(\int \genfrac {}{}{}{}{(5-x) (2+5 x+3 x^2)^{5/2}}{(3+2 x)^{13/2}} \, dx\) [2603]
3.27.4 \(\int \genfrac {}{}{}{}{(5-x) (2+5 x+3 x^2)^{5/2}}{(3+2 x)^{15/2}} \, dx\) [2604]
3.27.5 \(\int \genfrac {}{}{}{}{(5-x) (2+5 x+3 x^2)^{5/2}}{(3+2 x)^{17/2}} \, dx\) [2605]
3.27.6 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^{5/2}}{\sqrt {2+5 x+3 x^2}} \, dx\) [2606]
3.27.7 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^{3/2}}{\sqrt {2+5 x+3 x^2}} \, dx\) [2607]
3.27.8 \(\int \genfrac {}{}{}{}{(5-x) \sqrt {3+2 x}}{\sqrt {2+5 x+3 x^2}} \, dx\) [2608]
3.27.9 \(\int \genfrac {}{}{}{}{5-x}{\sqrt {3+2 x} \sqrt {2+5 x+3 x^2}} \, dx\) [2609]
3.27.10 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^{3/2} \sqrt {2+5 x+3 x^2}} \, dx\) [2610]
3.27.11 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^{5/2} \sqrt {2+5 x+3 x^2}} \, dx\) [2611]
3.27.12 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^{7/2} \sqrt {2+5 x+3 x^2}} \, dx\) [2612]
3.27.13 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^{7/2}}{(2+5 x+3 x^2)^{3/2}} \, dx\) [2613]
3.27.14 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^{5/2}}{(2+5 x+3 x^2)^{3/2}} \, dx\) [2614]
3.27.15 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^{3/2}}{(2+5 x+3 x^2)^{3/2}} \, dx\) [2615]
3.27.16 \(\int \genfrac {}{}{}{}{(5-x) \sqrt {3+2 x}}{(2+5 x+3 x^2)^{3/2}} \, dx\) [2616]
3.27.17 \(\int \genfrac {}{}{}{}{5-x}{\sqrt {3+2 x} (2+5 x+3 x^2)^{3/2}} \, dx\) [2617]
3.27.18 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^{3/2} (2+5 x+3 x^2)^{3/2}} \, dx\) [2618]
3.27.19 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^{5/2} (2+5 x+3 x^2)^{3/2}} \, dx\) [2619]
3.27.20 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^{7/2} (2+5 x+3 x^2)^{3/2}} \, dx\) [2620]
3.27.21 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^{9/2}}{(2+5 x+3 x^2)^{5/2}} \, dx\) [2621]
3.27.22 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^{7/2}}{(2+5 x+3 x^2)^{5/2}} \, dx\) [2622]
3.27.23 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^{5/2}}{(2+5 x+3 x^2)^{5/2}} \, dx\) [2623]
3.27.24 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^{3/2}}{(2+5 x+3 x^2)^{5/2}} \, dx\) [2624]
3.27.25 \(\int \genfrac {}{}{}{}{(5-x) \sqrt {3+2 x}}{(2+5 x+3 x^2)^{5/2}} \, dx\) [2625]
3.27.26 \(\int \genfrac {}{}{}{}{5-x}{\sqrt {3+2 x} (2+5 x+3 x^2)^{5/2}} \, dx\) [2626]
3.27.27 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^{3/2} (2+5 x+3 x^2)^{5/2}} \, dx\) [2627]
3.27.28 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^{5/2} (2+5 x+3 x^2)^{5/2}} \, dx\) [2628]
3.27.29 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^{7/2} (2+5 x+3 x^2)^{5/2}} \, dx\) [2629]
3.27.30 \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{3/2}}{\sqrt {a+b x+c x^2}} \, dx\) [2630]
3.27.31 \(\int \genfrac {}{}{}{}{(A+B x) \sqrt {d+e x}}{\sqrt {a+b x+c x^2}} \, dx\) [2631]
3.27.32 \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} \sqrt {a+b x+c x^2}} \, dx\) [2632]
3.27.33 \(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{3/2} \sqrt {a+b x+c x^2}} \, dx\) [2633]
3.27.34 \(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{5/2} \sqrt {a+b x+c x^2}} \, dx\) [2634]
3.27.35 \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{5/2}}{(a+b x+c x^2)^{3/2}} \, dx\) [2635]
3.27.36 \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{3/2}}{(a+b x+c x^2)^{3/2}} \, dx\) [2636]
3.27.37 \(\int \genfrac {}{}{}{}{(A+B x) \sqrt {d+e x}}{(a+b x+c x^2)^{3/2}} \, dx\) [2637]
3.27.38 \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} (a+b x+c x^2)^{3/2}} \, dx\) [2638]
3.27.39 \(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{3/2} (a+b x+c x^2)^{3/2}} \, dx\) [2639]
3.27.40 \(\int (A+B x) (d+e x)^m (a+b x+c x^2)^3 \, dx\) [2640]
3.27.41 \(\int (A+B x) (d+e x)^m (a+b x+c x^2)^2 \, dx\) [2641]
3.27.42 \(\int (A+B x) (d+e x)^m (a+b x+c x^2) \, dx\) [2642]
3.27.43 \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^m}{a+b x+c x^2} \, dx\) [2643]
3.27.44 \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^m}{(a+b x+c x^2)^2} \, dx\) [2644]
3.27.45 \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{1+m}}{a+b x+c x^2} \, dx\) [2645]
3.27.46 \(\int (A+B x) (d+e x)^{-3-2 p} (a+b x+c x^2)^p \, dx\) [2646]