3.4 Integrals 301 to 400

\(\int \genfrac {}{}{}{}{1}{x^{3/2} (a+b x^2)^2} \, dx\) [301]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} (a+b x^2)^2} \, dx\) [302]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} (a+b x^2)^2} \, dx\) [303]
\(\int \genfrac {}{}{}{}{x^{7/2}}{(a+b x^2)^3} \, dx\) [304]
\(\int \genfrac {}{}{}{}{x^{5/2}}{(a+b x^2)^3} \, dx\) [305]
\(\int \genfrac {}{}{}{}{x^{3/2}}{(a+b x^2)^3} \, dx\) [306]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{(a+b x^2)^3} \, dx\) [307]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} (a+b x^2)^3} \, dx\) [308]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} (a+b x^2)^3} \, dx\) [309]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} (a+b x^2)^3} \, dx\) [310]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} (a+b x^2)^3} \, dx\) [311]
\(\int \genfrac {}{}{}{}{x^{7/2}}{1+x^2} \, dx\) [312]
\(\int \genfrac {}{}{}{}{x^{5/2}}{1+x^2} \, dx\) [313]
\(\int \genfrac {}{}{}{}{x^{3/2}}{1+x^2} \, dx\) [314]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{1+x^2} \, dx\) [315]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} (1+x^2)} \, dx\) [316]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} (1+x^2)} \, dx\) [317]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} (1+x^2)} \, dx\) [318]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} (1+x^2)} \, dx\) [319]
\(\int \genfrac {}{}{}{}{x^{7/2}}{(1+x^2)^2} \, dx\) [320]
\(\int \genfrac {}{}{}{}{x^{5/2}}{(1+x^2)^2} \, dx\) [321]
\(\int \genfrac {}{}{}{}{x^{3/2}}{(1+x^2)^2} \, dx\) [322]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{(1+x^2)^2} \, dx\) [323]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} (1+x^2)^2} \, dx\) [324]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} (1+x^2)^2} \, dx\) [325]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} (1+x^2)^2} \, dx\) [326]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} (1+x^2)^2} \, dx\) [327]
\(\int \genfrac {}{}{}{}{x^{7/2}}{(1+x^2)^3} \, dx\) [328]
\(\int \genfrac {}{}{}{}{x^{5/2}}{(1+x^2)^3} \, dx\) [329]
\(\int \genfrac {}{}{}{}{x^{3/2}}{(1+x^2)^3} \, dx\) [330]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{(1+x^2)^3} \, dx\) [331]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} (1+x^2)^3} \, dx\) [332]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} (1+x^2)^3} \, dx\) [333]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} (1+x^2)^3} \, dx\) [334]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} (1+x^2)^3} \, dx\) [335]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{a-b x^2} \, dx\) [336]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{1-x^2} \, dx\) [337]
\(\int \genfrac {}{}{}{}{(c x)^{4/3}}{a+b x^2} \, dx\) [338]
\(\int \genfrac {}{}{}{}{\sqrt [3]{c x}}{a+b x^2} \, dx\) [339]
\(\int \genfrac {}{}{}{}{1}{(c x)^{2/3} (a+b x^2)} \, dx\) [340]
\(\int \genfrac {}{}{}{}{1}{(c x)^{5/3} (a+b x^2)} \, dx\) [341]
\(\int \genfrac {}{}{}{}{1}{(c x)^{8/3} (a+b x^2)} \, dx\) [342]
\(\int \genfrac {}{}{}{}{(c x)^{8/3}}{a+b x^2} \, dx\) [343]
\(\int \genfrac {}{}{}{}{(c x)^{5/3}}{a+b x^2} \, dx\) [344]
\(\int \genfrac {}{}{}{}{(c x)^{2/3}}{a+b x^2} \, dx\) [345]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{c x} (a+b x^2)} \, dx\) [346]
\(\int \genfrac {}{}{}{}{1}{(c x)^{4/3} (a+b x^2)} \, dx\) [347]
\(\int \genfrac {}{}{}{}{x^{2/3}}{1+x^2} \, dx\) [348]
\(\int x^m (a+b x^2)^5 \, dx\) [349]
\(\int x^m (a+b x^2)^4 \, dx\) [350]
\(\int x^m (a+b x^2)^3 \, dx\) [351]
\(\int x^m (a+b x^2)^2 \, dx\) [352]
\(\int x^m (a+b x^2) \, dx\) [353]
\(\int \genfrac {}{}{}{}{x^m}{a+b x^2} \, dx\) [354]
\(\int \genfrac {}{}{}{}{x^m}{(a+b x^2)^2} \, dx\) [355]
\(\int \genfrac {}{}{}{}{x^m}{(a+b x^2)^3} \, dx\) [356]
\(\int \genfrac {}{}{}{}{(c x)^{1+m}}{a+b x^2} \, dx\) [357]
\(\int \genfrac {}{}{}{}{(c x)^m}{a+b x^2} \, dx\) [358]
\(\int \genfrac {}{}{}{}{(c x)^{-1+m}}{a+b x^2} \, dx\) [359]
\(\int \genfrac {}{}{}{}{(c x)^{-2+m}}{a+b x^2} \, dx\) [360]
\(\int \genfrac {}{}{}{}{(c x)^{-3+m}}{a+b x^2} \, dx\) [361]
\(\int \genfrac {}{}{}{}{x^m}{(1+\genfrac {}{}{}{}{a x^2}{b})^2} \, dx\) [362]
\(\int x^7 \sqrt {a+b x^2} \, dx\) [363]
\(\int x^5 \sqrt {a+b x^2} \, dx\) [364]
\(\int x^3 \sqrt {a+b x^2} \, dx\) [365]
\(\int x \sqrt {a+b x^2} \, dx\) [366]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{x} \, dx\) [367]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{x^3} \, dx\) [368]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{x^5} \, dx\) [369]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{x^7} \, dx\) [370]
\(\int x^4 \sqrt {a+b x^2} \, dx\) [371]
\(\int x^2 \sqrt {a+b x^2} \, dx\) [372]
\(\int \sqrt {a+b x^2} \, dx\) [373]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{x^2} \, dx\) [374]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{x^4} \, dx\) [375]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{x^6} \, dx\) [376]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{x^8} \, dx\) [377]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{x^{10}} \, dx\) [378]
\(\int x^7 (a+b x^2)^{3/2} \, dx\) [379]
\(\int x^5 (a+b x^2)^{3/2} \, dx\) [380]
\(\int x^3 (a+b x^2)^{3/2} \, dx\) [381]
\(\int x (a+b x^2)^{3/2} \, dx\) [382]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x} \, dx\) [383]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x^3} \, dx\) [384]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x^5} \, dx\) [385]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x^7} \, dx\) [386]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x^9} \, dx\) [387]
\(\int x^4 (a+b x^2)^{3/2} \, dx\) [388]
\(\int x^2 (a+b x^2)^{3/2} \, dx\) [389]
\(\int (a+b x^2)^{3/2} \, dx\) [390]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x^2} \, dx\) [391]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x^4} \, dx\) [392]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x^6} \, dx\) [393]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x^8} \, dx\) [394]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x^{10}} \, dx\) [395]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2}}{x^{12}} \, dx\) [396]
\(\int x^7 (a+b x^2)^{5/2} \, dx\) [397]
\(\int x^5 (a+b x^2)^{5/2} \, dx\) [398]
\(\int x^3 (a+b x^2)^{5/2} \, dx\) [399]
\(\int x (a+b x^2)^{5/2} \, dx\) [400]