3.21 Integrals 2001 to 2100

  3.21.1 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^2} \, dx\) [2001]
  3.21.2 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^5} \, dx\) [2002]
  3.21.3 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^8} \, dx\) [2003]
  3.21.4 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^6 \, dx\) [2004]
  3.21.5 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^3 \, dx\) [2005]
  3.21.6 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [2006]
  3.21.7 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^3} \, dx\) [2007]
  3.21.8 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^6} \, dx\) [2008]
  3.21.9 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^9} \, dx\) [2009]
  3.21.10 \(\int (a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^5 \, dx\) [2010]
  3.21.11 \(\int (a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^2 \, dx\) [2011]
  3.21.12 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}}{x} \, dx\) [2012]
  3.21.13 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}}{x^4} \, dx\) [2013]
  3.21.14 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}}{x^7} \, dx\) [2014]
  3.21.15 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}}{x^{10}} \, dx\) [2015]
  3.21.16 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}}{x^{13}} \, dx\) [2016]
  3.21.17 \(\int \genfrac {}{}{}{}{x^5}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [2017]
  3.21.18 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [2018]
  3.21.19 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x} \, dx\) [2019]
  3.21.20 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^4} \, dx\) [2020]
  3.21.21 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^7} \, dx\) [2021]
  3.21.22 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^{10}} \, dx\) [2022]
  3.21.23 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^{13}} \, dx\) [2023]
  3.21.24 \(\int \genfrac {}{}{}{}{x^7}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [2024]
  3.21.25 \(\int \genfrac {}{}{}{}{x^4}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [2025]
  3.21.26 \(\int \genfrac {}{}{}{}{x}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [2026]
  3.21.27 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^2} \, dx\) [2027]
  3.21.28 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^5} \, dx\) [2028]
  3.21.29 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^8} \, dx\) [2029]
  3.21.30 \(\int \genfrac {}{}{}{}{x^6}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [2030]
  3.21.31 \(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [2031]
  3.21.32 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [2032]
  3.21.33 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^3} \, dx\) [2033]
  3.21.34 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^6} \, dx\) [2034]
  3.21.35 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^9} \, dx\) [2035]
  3.21.36 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^{12}} \, dx\) [2036]
  3.21.37 \(\int \genfrac {}{}{}{}{x^5}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [2037]
  3.21.38 \(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [2038]
  3.21.39 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x} \, dx\) [2039]
  3.21.40 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^4} \, dx\) [2040]
  3.21.41 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^7} \, dx\) [2041]
  3.21.42 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^{10}} \, dx\) [2042]
  3.21.43 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^{13}} \, dx\) [2043]
  3.21.44 \(\int \genfrac {}{}{}{}{x^7}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [2044]
  3.21.45 \(\int \genfrac {}{}{}{}{x^4}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [2045]
  3.21.46 \(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [2046]
  3.21.47 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^2} \, dx\) [2047]
  3.21.48 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^5} \, dx\) [2048]
  3.21.49 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^8} \, dx\) [2049]
  3.21.50 \(\int \genfrac {}{}{}{}{x^6}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [2050]
  3.21.51 \(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [2051]
  3.21.52 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [2052]
  3.21.53 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^3} \, dx\) [2053]
  3.21.54 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^6} \, dx\) [2054]
  3.21.55 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^9} \, dx\) [2055]
  3.21.56 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^{12}} \, dx\) [2056]
  3.21.57 \(\int \genfrac {}{}{}{}{1}{a+\genfrac {}{}{}{}{b}{x^4}} \, dx\) [2057]
  3.21.58 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^4}} x^3 \, dx\) [2058]
  3.21.59 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^4}} x \, dx\) [2059]
  3.21.60 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}}{x} \, dx\) [2060]
  3.21.61 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}}{x^3} \, dx\) [2061]
  3.21.62 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^4}} x^2 \, dx\) [2062]
  3.21.63 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^4}} \, dx\) [2063]
  3.21.64 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}}{x^2} \, dx\) [2064]
  3.21.65 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}}{x^4} \, dx\) [2065]
  3.21.66 \(\int (a+\genfrac {}{}{}{}{b}{x^4})^{3/2} x^3 \, dx\) [2066]
  3.21.67 \(\int (a+\genfrac {}{}{}{}{b}{x^4})^{3/2} x \, dx\) [2067]
  3.21.68 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}}{x} \, dx\) [2068]
  3.21.69 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}}{x^3} \, dx\) [2069]
  3.21.70 \(\int (a+\genfrac {}{}{}{}{b}{x^4})^{3/2} x^2 \, dx\) [2070]
  3.21.71 \(\int (a+\genfrac {}{}{}{}{b}{x^4})^{3/2} \, dx\) [2071]
  3.21.72 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}}{x^2} \, dx\) [2072]
  3.21.73 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}}{x^4} \, dx\) [2073]
  3.21.74 \(\int (a+\genfrac {}{}{}{}{b}{x^4})^{5/2} x^3 \, dx\) [2074]
  3.21.75 \(\int (a+\genfrac {}{}{}{}{b}{x^4})^{5/2} x \, dx\) [2075]
  3.21.76 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2}}{x} \, dx\) [2076]
  3.21.77 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2}}{x^3} \, dx\) [2077]
  3.21.78 \(\int (a+\genfrac {}{}{}{}{b}{x^4})^{5/2} x^2 \, dx\) [2078]
  3.21.79 \(\int (a+\genfrac {}{}{}{}{b}{x^4})^{5/2} \, dx\) [2079]
  3.21.80 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2}}{x^2} \, dx\) [2080]
  3.21.81 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2}}{x^4} \, dx\) [2081]
  3.21.82 \(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}} \, dx\) [2082]
  3.21.83 \(\int \genfrac {}{}{}{}{x}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}} \, dx\) [2083]
  3.21.84 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}} x} \, dx\) [2084]
  3.21.85 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}} x^3} \, dx\) [2085]
  3.21.86 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}} \, dx\) [2086]
  3.21.87 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}} \, dx\) [2087]
  3.21.88 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}} x^2} \, dx\) [2088]
  3.21.89 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}} x^4} \, dx\) [2089]
  3.21.90 \(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}} \, dx\) [2090]
  3.21.91 \(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}} \, dx\) [2091]
  3.21.92 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2} x} \, dx\) [2092]
  3.21.93 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2} x^3} \, dx\) [2093]
  3.21.94 \(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}} \, dx\) [2094]
  3.21.95 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}} \, dx\) [2095]
  3.21.96 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2} x^2} \, dx\) [2096]
  3.21.97 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2} x^4} \, dx\) [2097]
  3.21.98 \(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2}} \, dx\) [2098]
  3.21.99 \(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2}} \, dx\) [2099]
  3.21.100 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2} x} \, dx\) [2100]