3.21.1 \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{a d e+(c d^2+a e^2) x+c d e x^2} \, dx\) [2001]
3.21.2 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{a d e+(c d^2+a e^2) x+c d e x^2} \, dx\) [2002]
3.21.3 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{a d e+(c d^2+a e^2) x+c d e x^2} \, dx\) [2003]
3.21.4 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{a d e+(c d^2+a e^2) x+c d e x^2} \, dx\) [2004]
3.21.5 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a d e+(c d^2+a e^2) x+c d e x^2)} \, dx\) [2005]
3.21.6 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)} \, dx\) [2006]
3.21.7 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a d e+(c d^2+a e^2) x+c d e x^2)} \, dx\) [2007]
3.21.8 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} (a d e+(c d^2+a e^2) x+c d e x^2)} \, dx\) [2008]
3.21.9 \(\int \genfrac {}{}{}{}{(d+e x)^{13/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^2} \, dx\) [2009]
3.21.10 \(\int \genfrac {}{}{}{}{(d+e x)^{11/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^2} \, dx\) [2010]
3.21.11 \(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^2} \, dx\) [2011]
3.21.12 \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^2} \, dx\) [2012]
3.21.13 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^2} \, dx\) [2013]
3.21.14 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^2} \, dx\) [2014]
3.21.15 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a d e+(c d^2+a e^2) x+c d e x^2)^2} \, dx\) [2015]
3.21.16 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a d e+(c d^2+a e^2) x+c d e x^2)^2} \, dx\) [2016]
3.21.17 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^2} \, dx\) [2017]
3.21.18 \(\int \genfrac {}{}{}{}{(d+e x)^{15/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^3} \, dx\) [2018]
3.21.19 \(\int \genfrac {}{}{}{}{(d+e x)^{13/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^3} \, dx\) [2019]
3.21.20 \(\int \genfrac {}{}{}{}{(d+e x)^{11/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^3} \, dx\) [2020]
3.21.21 \(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^3} \, dx\) [2021]
3.21.22 \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^3} \, dx\) [2022]
3.21.23 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^3} \, dx\) [2023]
3.21.24 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^3} \, dx\) [2024]
3.21.25 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a d e+(c d^2+a e^2) x+c d e x^2)^3} \, dx\) [2025]
3.21.26 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a d e+(c d^2+a e^2) x+c d e x^2)^3} \, dx\) [2026]
3.21.27 \(\int (d+e x)^{7/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2} \, dx\) [2027]
3.21.28 \(\int (d+e x)^{5/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2} \, dx\) [2028]
3.21.29 \(\int (d+e x)^{3/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2} \, dx\) [2029]
3.21.30 \(\int \sqrt {d+e x} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2} \, dx\) [2030]
3.21.31 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\) [2031]
3.21.32 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{(d+e x)^{3/2}} \, dx\) [2032]
3.21.33 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{(d+e x)^{5/2}} \, dx\) [2033]
3.21.34 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{(d+e x)^{7/2}} \, dx\) [2034]
3.21.35 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{(d+e x)^{9/2}} \, dx\) [2035]
3.21.36 \(\int (d+e x)^{5/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2} \, dx\) [2036]
3.21.37 \(\int (d+e x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2} \, dx\) [2037]
3.21.38 \(\int \sqrt {d+e x} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2} \, dx\) [2038]
3.21.39 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{\sqrt {d+e x}} \, dx\) [2039]
3.21.40 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [2040]
3.21.41 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{5/2}} \, dx\) [2041]
3.21.42 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{7/2}} \, dx\) [2042]
3.21.43 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{9/2}} \, dx\) [2043]
3.21.44 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{11/2}} \, dx\) [2044]
3.21.45 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{13/2}} \, dx\) [2045]
3.21.46 \(\int (d+e x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2} \, dx\) [2046]
3.21.47 \(\int \sqrt {d+e x} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2} \, dx\) [2047]
3.21.48 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{\sqrt {d+e x}} \, dx\) [2048]
3.21.49 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{3/2}} \, dx\) [2049]
3.21.50 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [2050]
3.21.51 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{7/2}} \, dx\) [2051]
3.21.52 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{9/2}} \, dx\) [2052]
3.21.53 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{11/2}} \, dx\) [2053]
3.21.54 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{13/2}} \, dx\) [2054]
3.21.55 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{15/2}} \, dx\) [2055]
3.21.56 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{17/2}} \, dx\) [2056]
3.21.57 \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [2057]
3.21.58 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [2058]
3.21.59 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [2059]
3.21.60 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [2060]
3.21.61 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [2061]
3.21.62 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [2062]
3.21.63 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [2063]
3.21.64 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [2064]
3.21.65 \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [2065]
3.21.66 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [2066]
3.21.67 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [2067]
3.21.68 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [2068]
3.21.69 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [2069]
3.21.70 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [2070]
3.21.71 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [2071]
3.21.72 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [2072]
3.21.73 \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [2073]
3.21.74 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [2074]
3.21.75 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [2075]
3.21.76 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [2076]
3.21.77 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [2077]
3.21.78 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [2078]
3.21.79 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [2079]
3.21.80 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [2080]
3.21.81 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} \sqrt {d^2-e^2 x^2}} \, dx\) [2081]
3.21.82 \(\int \genfrac {}{}{}{}{1}{\sqrt {-d+e x} \sqrt {d^2-e^2 x^2}} \, dx\) [2082]
3.21.83 \(\int \genfrac {}{}{}{}{(d+e x)^{2/3}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [2083]
3.21.84 \(\int (d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^3 \, dx\) [2084]
3.21.85 \(\int (d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^2 \, dx\) [2085]
3.21.86 \(\int (d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2) \, dx\) [2086]
3.21.87 \(\int \genfrac {}{}{}{}{(d+e x)^m}{a d e+(c d^2+a e^2) x+c d e x^2} \, dx\) [2087]
3.21.88 \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a d e+(c d^2+a e^2) x+c d e x^2)^2} \, dx\) [2088]
3.21.89 \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a d e+(c d^2+a e^2) x+c d e x^2)^3} \, dx\) [2089]
3.21.90 \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a d e+(c d^2+a e^2) x+c d e x^2)^4} \, dx\) [2090]
3.21.91 \(\int (d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^p \, dx\) [2091]
3.21.92 \(\int (d+e x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^p \, dx\) [2092]
3.21.93 \(\int (d+e x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^p \, dx\) [2093]
3.21.94 \(\int (d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^p \, dx\) [2094]
3.21.95 \(\int (a d e+(c d^2+a e^2) x+c d e x^2)^p \, dx\) [2095]
3.21.96 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^p}{d+e x} \, dx\) [2096]
3.21.97 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^p}{(d+e x)^2} \, dx\) [2097]
3.21.98 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^p}{(d+e x)^3} \, dx\) [2098]
3.21.99 \(\int (d+e x)^{-2 p} (a d e+(c d^2+a e^2) x+c d e x^2)^p \, dx\) [2099]
3.21.100 \(\int (d+e x)^{-1-2 p} (a d e+(c d^2+a e^2) x+c d e x^2)^p \, dx\) [2100]