3.6.1 \(\int \genfrac {}{}{}{}{(a+b x)^{3/2} (A+B x)}{x^{17/2}} \, dx\) [501]
3.6.2 \(\int x^{3/2} (a+b x)^{5/2} (A+B x) \, dx\) [502]
3.6.3 \(\int \sqrt {x} (a+b x)^{5/2} (A+B x) \, dx\) [503]
3.6.4 \(\int \genfrac {}{}{}{}{(a+b x)^{5/2} (A+B x)}{\sqrt {x}} \, dx\) [504]
3.6.5 \(\int \genfrac {}{}{}{}{(a+b x)^{5/2} (A+B x)}{x^{3/2}} \, dx\) [505]
3.6.6 \(\int \genfrac {}{}{}{}{(a+b x)^{5/2} (A+B x)}{x^{5/2}} \, dx\) [506]
3.6.7 \(\int \genfrac {}{}{}{}{(a+b x)^{5/2} (A+B x)}{x^{7/2}} \, dx\) [507]
3.6.8 \(\int \genfrac {}{}{}{}{(a+b x)^{5/2} (A+B x)}{x^{9/2}} \, dx\) [508]
3.6.9 \(\int \genfrac {}{}{}{}{(a+b x)^{5/2} (A+B x)}{x^{11/2}} \, dx\) [509]
3.6.10 \(\int \genfrac {}{}{}{}{(a+b x)^{5/2} (A+B x)}{x^{13/2}} \, dx\) [510]
3.6.11 \(\int \genfrac {}{}{}{}{(a+b x)^{5/2} (A+B x)}{x^{15/2}} \, dx\) [511]
3.6.12 \(\int \genfrac {}{}{}{}{(a+b x)^{5/2} (A+B x)}{x^{17/2}} \, dx\) [512]
3.6.13 \(\int \genfrac {}{}{}{}{(a+b x)^{5/2} (A+B x)}{x^{19/2}} \, dx\) [513]
3.6.14 \(\int \genfrac {}{}{}{}{x^{7/2} (A+B x)}{\sqrt {a+b x}} \, dx\) [514]
3.6.15 \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x)}{\sqrt {a+b x}} \, dx\) [515]
3.6.16 \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x)}{\sqrt {a+b x}} \, dx\) [516]
3.6.17 \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x)}{\sqrt {a+b x}} \, dx\) [517]
3.6.18 \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {x} \sqrt {a+b x}} \, dx\) [518]
3.6.19 \(\int \genfrac {}{}{}{}{A+B x}{x^{3/2} \sqrt {a+b x}} \, dx\) [519]
3.6.20 \(\int \genfrac {}{}{}{}{A+B x}{x^{5/2} \sqrt {a+b x}} \, dx\) [520]
3.6.21 \(\int \genfrac {}{}{}{}{A+B x}{x^{7/2} \sqrt {a+b x}} \, dx\) [521]
3.6.22 \(\int \genfrac {}{}{}{}{A+B x}{x^{9/2} \sqrt {a+b x}} \, dx\) [522]
3.6.23 \(\int \genfrac {}{}{}{}{A+B x}{x^{11/2} \sqrt {a+b x}} \, dx\) [523]
3.6.24 \(\int \genfrac {}{}{}{}{A+B x}{x^{13/2} \sqrt {a+b x}} \, dx\) [524]
3.6.25 \(\int \genfrac {}{}{}{}{A+B x}{x^{15/2} \sqrt {a+b x}} \, dx\) [525]
3.6.26 \(\int \genfrac {}{}{}{}{x^{7/2} (A+B x)}{(a+b x)^{3/2}} \, dx\) [526]
3.6.27 \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x)}{(a+b x)^{3/2}} \, dx\) [527]
3.6.28 \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x)}{(a+b x)^{3/2}} \, dx\) [528]
3.6.29 \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x)}{(a+b x)^{3/2}} \, dx\) [529]
3.6.30 \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {x} (a+b x)^{3/2}} \, dx\) [530]
3.6.31 \(\int \genfrac {}{}{}{}{A+B x}{x^{3/2} (a+b x)^{3/2}} \, dx\) [531]
3.6.32 \(\int \genfrac {}{}{}{}{A+B x}{x^{5/2} (a+b x)^{3/2}} \, dx\) [532]
3.6.33 \(\int \genfrac {}{}{}{}{A+B x}{x^{7/2} (a+b x)^{3/2}} \, dx\) [533]
3.6.34 \(\int \genfrac {}{}{}{}{A+B x}{x^{9/2} (a+b x)^{3/2}} \, dx\) [534]
3.6.35 \(\int \genfrac {}{}{}{}{A+B x}{x^{11/2} (a+b x)^{3/2}} \, dx\) [535]
3.6.36 \(\int \genfrac {}{}{}{}{A+B x}{x^{13/2} (a+b x)^{3/2}} \, dx\) [536]
3.6.37 \(\int \genfrac {}{}{}{}{x^{7/2} (A+B x)}{(a+b x)^{5/2}} \, dx\) [537]
3.6.38 \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x)}{(a+b x)^{5/2}} \, dx\) [538]
3.6.39 \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x)}{(a+b x)^{5/2}} \, dx\) [539]
3.6.40 \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x)}{(a+b x)^{5/2}} \, dx\) [540]
3.6.41 \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {x} (a+b x)^{5/2}} \, dx\) [541]
3.6.42 \(\int \genfrac {}{}{}{}{A+B x}{x^{3/2} (a+b x)^{5/2}} \, dx\) [542]
3.6.43 \(\int \genfrac {}{}{}{}{A+B x}{x^{5/2} (a+b x)^{5/2}} \, dx\) [543]
3.6.44 \(\int \genfrac {}{}{}{}{A+B x}{x^{7/2} (a+b x)^{5/2}} \, dx\) [544]
3.6.45 \(\int \genfrac {}{}{}{}{A+B x}{x^{9/2} (a+b x)^{5/2}} \, dx\) [545]
3.6.46 \(\int \genfrac {}{}{}{}{A+B x}{x^{11/2} (a+b x)^{5/2}} \, dx\) [546]
3.6.47 \(\int x^3 \sqrt {a+b x} \sqrt {c+d x} \, dx\) [547]
3.6.48 \(\int x^2 \sqrt {a+b x} \sqrt {c+d x} \, dx\) [548]
3.6.49 \(\int x \sqrt {a+b x} \sqrt {c+d x} \, dx\) [549]
3.6.50 \(\int \sqrt {a+b x} \sqrt {c+d x} \, dx\) [550]
3.6.51 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} \sqrt {c+d x}}{x} \, dx\) [551]
3.6.52 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} \sqrt {c+d x}}{x^2} \, dx\) [552]
3.6.53 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} \sqrt {c+d x}}{x^3} \, dx\) [553]
3.6.54 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} \sqrt {c+d x}}{x^4} \, dx\) [554]
3.6.55 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} \sqrt {c+d x}}{x^5} \, dx\) [555]
3.6.56 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} \sqrt {c+d x}}{x^6} \, dx\) [556]
3.6.57 \(\int x^2 \sqrt {a+b x} (c+d x)^{3/2} \, dx\) [557]
3.6.58 \(\int x \sqrt {a+b x} (c+d x)^{3/2} \, dx\) [558]
3.6.59 \(\int \sqrt {a+b x} (c+d x)^{3/2} \, dx\) [559]
3.6.60 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} (c+d x)^{3/2}}{x} \, dx\) [560]
3.6.61 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} (c+d x)^{3/2}}{x^2} \, dx\) [561]
3.6.62 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} (c+d x)^{3/2}}{x^3} \, dx\) [562]
3.6.63 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} (c+d x)^{3/2}}{x^4} \, dx\) [563]
3.6.64 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} (c+d x)^{3/2}}{x^5} \, dx\) [564]
3.6.65 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} (c+d x)^{3/2}}{x^6} \, dx\) [565]
3.6.66 \(\int x^2 \sqrt {a+b x} (c+d x)^{5/2} \, dx\) [566]
3.6.67 \(\int x \sqrt {a+b x} (c+d x)^{5/2} \, dx\) [567]
3.6.68 \(\int \sqrt {a+b x} (c+d x)^{5/2} \, dx\) [568]
3.6.69 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} (c+d x)^{5/2}}{x} \, dx\) [569]
3.6.70 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} (c+d x)^{5/2}}{x^2} \, dx\) [570]
3.6.71 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} (c+d x)^{5/2}}{x^3} \, dx\) [571]
3.6.72 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} (c+d x)^{5/2}}{x^4} \, dx\) [572]
3.6.73 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} (c+d x)^{5/2}}{x^5} \, dx\) [573]
3.6.74 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} (c+d x)^{5/2}}{x^6} \, dx\) [574]
3.6.75 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} (c+d x)^{5/2}}{x^7} \, dx\) [575]
3.6.76 \(\int \genfrac {}{}{}{}{x^3 \sqrt {a+b x}}{\sqrt {c+d x}} \, dx\) [576]
3.6.77 \(\int \genfrac {}{}{}{}{x^2 \sqrt {a+b x}}{\sqrt {c+d x}} \, dx\) [577]
3.6.78 \(\int \genfrac {}{}{}{}{x \sqrt {a+b x}}{\sqrt {c+d x}} \, dx\) [578]
3.6.79 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{\sqrt {c+d x}} \, dx\) [579]
3.6.80 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x \sqrt {c+d x}} \, dx\) [580]
3.6.81 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x^2 \sqrt {c+d x}} \, dx\) [581]
3.6.82 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x^3 \sqrt {c+d x}} \, dx\) [582]
3.6.83 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x^4 \sqrt {c+d x}} \, dx\) [583]
3.6.84 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x^5 \sqrt {c+d x}} \, dx\) [584]
3.6.85 \(\int \genfrac {}{}{}{}{x^2 \sqrt {a+b x}}{(c+d x)^{3/2}} \, dx\) [585]
3.6.86 \(\int \genfrac {}{}{}{}{x \sqrt {a+b x}}{(c+d x)^{3/2}} \, dx\) [586]
3.6.87 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{(c+d x)^{3/2}} \, dx\) [587]
3.6.88 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x (c+d x)^{3/2}} \, dx\) [588]
3.6.89 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x^2 (c+d x)^{3/2}} \, dx\) [589]
3.6.90 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x^3 (c+d x)^{3/2}} \, dx\) [590]
3.6.91 \(\int \genfrac {}{}{}{}{x^3 \sqrt {a+b x}}{(c+d x)^{5/2}} \, dx\) [591]
3.6.92 \(\int \genfrac {}{}{}{}{x^2 \sqrt {a+b x}}{(c+d x)^{5/2}} \, dx\) [592]
3.6.93 \(\int \genfrac {}{}{}{}{x \sqrt {a+b x}}{(c+d x)^{5/2}} \, dx\) [593]
3.6.94 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{(c+d x)^{5/2}} \, dx\) [594]
3.6.95 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x (c+d x)^{5/2}} \, dx\) [595]
3.6.96 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x^2 (c+d x)^{5/2}} \, dx\) [596]
3.6.97 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x^3 (c+d x)^{5/2}} \, dx\) [597]
3.6.98 \(\int x^2 (a+b x)^{3/2} \sqrt {c+d x} \, dx\) [598]
3.6.99 \(\int x (a+b x)^{3/2} \sqrt {c+d x} \, dx\) [599]
3.6.100 \(\int (a+b x)^{3/2} \sqrt {c+d x} \, dx\) [600]