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3.4
Integrals 301 to 400
\(\int \genfrac {}{}{}{}{1}{x^5 \sqrt {\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2}}} \, dx\) [301]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2}}} \, dx\) [302]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2}}} \, dx\) [303]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2}}} \, dx\) [304]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2}}} \, dx\) [305]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2}}} \, dx\) [306]
\(\int \genfrac {}{}{}{}{x^5}{(\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\) [307]
\(\int \genfrac {}{}{}{}{x^3}{(\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\) [308]
\(\int \genfrac {}{}{}{}{x}{(\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\) [309]
\(\int \genfrac {}{}{}{}{1}{x (\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\) [310]
\(\int \genfrac {}{}{}{}{1}{x^3 (\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\) [311]
\(\int \genfrac {}{}{}{}{1}{x^5 (\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\) [312]
\(\int \genfrac {}{}{}{}{x^4}{(\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\) [313]
\(\int \genfrac {}{}{}{}{x^2}{(\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\) [314]
\(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\) [315]
\(\int \genfrac {}{}{}{}{1}{x^2 (\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\) [316]
\(\int \genfrac {}{}{}{}{1}{x^4 (\genfrac {}{}{}{}{e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\) [317]
\(\int x^5 \sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}} \, dx\) [318]
\(\int x^3 \sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}} \, dx\) [319]
\(\int x \sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}} \, dx\) [320]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}}{x} \, dx\) [321]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}}{x^3} \, dx\) [322]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}}{x^5} \, dx\) [323]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}}{x^7} \, dx\) [324]
\(\int x^4 \sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}} \, dx\) [325]
\(\int x^2 \sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}} \, dx\) [326]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}} \, dx\) [327]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}}{x^2} \, dx\) [328]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}}{x^4} \, dx\) [329]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}}{x^6} \, dx\) [330]
\(\int x^5 (a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2} \, dx\) [331]
\(\int x^3 (a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2} \, dx\) [332]
\(\int x (a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2} \, dx\) [333]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}}{x} \, dx\) [334]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}}{x^3} \, dx\) [335]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}}{x^5} \, dx\) [336]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}}{x^7} \, dx\) [337]
\(\int x^4 (a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2} \, dx\) [338]
\(\int x^2 (a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2} \, dx\) [339]
\(\int (a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2} \, dx\) [340]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}}{x^2} \, dx\) [341]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}}{x^4} \, dx\) [342]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}}{x^6} \, dx\) [343]
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}} \, dx\) [344]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}} \, dx\) [345]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}} \, dx\) [346]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}} \, dx\) [347]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}} \, dx\) [348]
\(\int \genfrac {}{}{}{}{1}{x^5 \sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}} \, dx\) [349]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}} \, dx\) [350]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}} \, dx\) [351]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}} \, dx\) [352]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}} \, dx\) [353]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {a+\genfrac {}{}{}{}{b}{c+d x^2}}} \, dx\) [354]
\(\int \genfrac {}{}{}{}{x^5}{(a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}} \, dx\) [355]
\(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}} \, dx\) [356]
\(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}} \, dx\) [357]
\(\int \genfrac {}{}{}{}{1}{x (a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}} \, dx\) [358]
\(\int \genfrac {}{}{}{}{1}{x^3 (a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}} \, dx\) [359]
\(\int \genfrac {}{}{}{}{1}{x^5 (a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}} \, dx\) [360]
\(\int \genfrac {}{}{}{}{x^4}{(a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}} \, dx\) [361]
\(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}} \, dx\) [362]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}} \, dx\) [363]
\(\int \genfrac {}{}{}{}{1}{x^2 (a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}} \, dx\) [364]
\(\int \genfrac {}{}{}{}{1}{x^4 (a+\genfrac {}{}{}{}{b}{c+d x^2})^{3/2}} \, dx\) [365]
\(\int \genfrac {}{}{}{}{\sqrt {a x^{23}}}{\sqrt {1+x^5}} \, dx\) [366]
\(\int \genfrac {}{}{}{}{\sqrt {a x^{13}}}{\sqrt {1+x^5}} \, dx\) [367]
\(\int \genfrac {}{}{}{}{\sqrt {a x^3}}{\sqrt {1+x^5}} \, dx\) [368]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x^7}}}{\sqrt {1+x^5}} \, dx\) [369]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x^{17}}}}{\sqrt {1+x^5}} \, dx\) [370]
\(\int \genfrac {}{}{}{}{\sqrt {a x^6}}{x (1-x^4)} \, dx\) [371]
\(\int \genfrac {}{}{}{}{\sqrt {a x^6}}{x-x^5} \, dx\) [372]
\(\int \genfrac {}{}{}{}{(a x^6)^{3/2}}{x (1-x^4)} \, dx\) [373]
\(\int (\genfrac {}{}{}{}{1}{1-x^4}-\genfrac {}{}{}{}{\sqrt {a x^6}}{x (1-x^4)}) \, dx\) [374]
\(\int (\genfrac {}{}{}{}{1}{1-x^4}-\genfrac {}{}{}{}{\sqrt {a x^6}}{x-x^5}) \, dx\) [375]
\(\int \genfrac {}{}{}{}{\sqrt {a x^3}}{x-x^3} \, dx\) [376]
\(\int \genfrac {}{}{}{}{\sqrt {a x^4}}{\sqrt {1+x^2}} \, dx\) [377]
\(\int \genfrac {}{}{}{}{\sqrt {a x^3}}{\sqrt {1+x^2}} \, dx\) [378]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2}}{\sqrt {1+x^2}} \, dx\) [379]
\(\int \genfrac {}{}{}{}{\sqrt {a x}}{\sqrt {1+x^2}} \, dx\) [380]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x}}}{\sqrt {1+x^2}} \, dx\) [381]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x^2}}}{\sqrt {1+x^2}} \, dx\) [382]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x^3}}}{\sqrt {1+x^2}} \, dx\) [383]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x^4}}}{\sqrt {1+x^2}} \, dx\) [384]
\(\int \genfrac {}{}{}{}{\sqrt {a x^4}}{\sqrt {1+x^3}} \, dx\) [385]
\(\int \genfrac {}{}{}{}{\sqrt {a x^3}}{\sqrt {1+x^3}} \, dx\) [386]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2}}{\sqrt {1+x^3}} \, dx\) [387]
\(\int \genfrac {}{}{}{}{\sqrt {a x}}{\sqrt {1+x^3}} \, dx\) [388]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x}}}{\sqrt {1+x^3}} \, dx\) [389]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x^2}}}{\sqrt {1+x^3}} \, dx\) [390]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x^3}}}{\sqrt {1+x^3}} \, dx\) [391]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x^4}}}{\sqrt {1+x^3}} \, dx\) [392]
\(\int \genfrac {}{}{}{}{\sqrt {a x^{2 n}}}{\sqrt {1+x^n}} \, dx\) [393]
\(\int \genfrac {}{}{}{}{\sqrt {a x^n}}{\sqrt {1+x^n}} \, dx\) [394]
\(\int \genfrac {}{}{}{}{\sqrt {a x^{n/2}}}{\sqrt {1+x^n}} \, dx\) [395]
\(\int (\genfrac {}{}{}{}{\sqrt {a x^{2 n}}}{\sqrt {1+x^n}}+\genfrac {}{}{}{}{2 x^{-n} \sqrt {a x^{2 n}}}{(2+n) \sqrt {1+x^n}}) \, dx\) [396]
\(\int \genfrac {}{}{}{}{\sqrt {a x}}{\sqrt {d+e x} \sqrt {e+f x}} \, dx\) [397]
\(\int (a x^m)^r \, dx\) [398]
\(\int (a x^m)^r (b x^n)^s \, dx\) [399]
\(\int (a x^m)^r (b x^n)^s (c x^p)^t \, dx\) [400]
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