3.4 Integrals 301 to 400

\(\int \genfrac {}{}{}{}{\sqrt {1+x^2}}{(1-x^2)^{3/2}} \, dx\) [301]
\(\int \genfrac {}{}{}{}{1}{1-x^2} \, dx\) [302]
\(\int \genfrac {}{}{}{}{1}{-1+x^2} \, dx\) [303]
\(\int \genfrac {}{}{}{}{\sqrt {-1-x^2}}{(-1+x^2)^{3/2}} \, dx\) [304]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^2}}{(-1-x^2)^{3/2}} \, dx\) [305]
\(\int \genfrac {}{}{}{}{1}{-1-x^2} \, dx\) [306]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^2}}{(-1+x^2)^{3/2}} \, dx\) [307]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{(-1+x^2)^{3/2}} \, dx\) [308]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^2}}{(-1-x^2)^{3/2}} \, dx\) [309]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{(-1-x^2)^{3/2}} \, dx\) [310]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^2}}{(1+x^2)^{3/2}} \, dx\) [311]
\(\int \genfrac {}{}{}{}{\sqrt {-1-x^2}}{(1+x^2)^{3/2}} \, dx\) [312]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^2}}{(1-x^2)^{3/2}} \, dx\) [313]
\(\int \genfrac {}{}{}{}{\sqrt {-1-x^2}}{(1-x^2)^{3/2}} \, dx\) [314]
\(\int \genfrac {}{}{}{}{1}{(-2+5 x^2)^{3/2} \sqrt {6+15 x^2}} \, dx\) [315]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+b x^2} (1+d x^2)^{3/2}} \, dx\) [316]
\(\int \genfrac {}{}{}{}{1}{(1+b x^2)^{3/2} \sqrt {1+d x^2}} \, dx\) [317]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x^2} (c+d x^2)^{3/2}} \, dx\) [318]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [319]
\(\int (a-b x^2)^{2/3} (3 a+b x^2)^3 \, dx\) [320]
\(\int (a-b x^2)^{2/3} (3 a+b x^2)^2 \, dx\) [321]
\(\int (a-b x^2)^{2/3} (3 a+b x^2) \, dx\) [322]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{2/3}}{3 a+b x^2} \, dx\) [323]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{2/3}}{(3 a+b x^2)^2} \, dx\) [324]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{2/3}}{(3 a+b x^2)^3} \, dx\) [325]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{2/3}}{(3 a+b x^2)^4} \, dx\) [326]
\(\int (a-b x^2)^{5/3} (3 a+b x^2)^3 \, dx\) [327]
\(\int (a-b x^2)^{5/3} (3 a+b x^2)^2 \, dx\) [328]
\(\int (a-b x^2)^{5/3} (3 a+b x^2) \, dx\) [329]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{5/3}}{3 a+b x^2} \, dx\) [330]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{5/3}}{(3 a+b x^2)^2} \, dx\) [331]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{5/3}}{(3 a+b x^2)^3} \, dx\) [332]
\(\int \genfrac {}{}{}{}{(3 a+b x^2)^3}{\sqrt [3]{a-b x^2}} \, dx\) [333]
\(\int \genfrac {}{}{}{}{(3 a+b x^2)^2}{\sqrt [3]{a-b x^2}} \, dx\) [334]
\(\int \genfrac {}{}{}{}{3 a+b x^2}{\sqrt [3]{a-b x^2}} \, dx\) [335]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a-b x^2} (3 a+b x^2)} \, dx\) [336]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a-b x^2} (3 a+b x^2)^2} \, dx\) [337]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a-b x^2} (3 a+b x^2)^3} \, dx\) [338]
\(\int \genfrac {}{}{}{}{(3 a+b x^2)^4}{(a-b x^2)^{4/3}} \, dx\) [339]
\(\int \genfrac {}{}{}{}{(3 a+b x^2)^3}{(a-b x^2)^{4/3}} \, dx\) [340]
\(\int \genfrac {}{}{}{}{(3 a+b x^2)^2}{(a-b x^2)^{4/3}} \, dx\) [341]
\(\int \genfrac {}{}{}{}{3 a+b x^2}{(a-b x^2)^{4/3}} \, dx\) [342]
\(\int \genfrac {}{}{}{}{1}{(a-b x^2)^{4/3} (3 a+b x^2)} \, dx\) [343]
\(\int \genfrac {}{}{}{}{1}{(a-b x^2)^{4/3} (3 a+b x^2)^2} \, dx\) [344]
\(\int \genfrac {}{}{}{}{(3 a+b x^2)^4}{(a-b x^2)^{7/3}} \, dx\) [345]
\(\int \genfrac {}{}{}{}{(3 a+b x^2)^3}{(a-b x^2)^{7/3}} \, dx\) [346]
\(\int \genfrac {}{}{}{}{(3 a+b x^2)^2}{(a-b x^2)^{7/3}} \, dx\) [347]
\(\int \genfrac {}{}{}{}{3 a+b x^2}{(a-b x^2)^{7/3}} \, dx\) [348]
\(\int \genfrac {}{}{}{}{1}{(a-b x^2)^{7/3} (3 a+b x^2)} \, dx\) [349]
\(\int \genfrac {}{}{}{}{1}{(a-b x^2)^{7/3} (3 a+b x^2)^2} \, dx\) [350]
\(\int \genfrac {}{}{}{}{1}{(-3 a-b x^2) \sqrt [3]{-a+b x^2}} \, dx\) [351]
\(\int \genfrac {}{}{}{}{1}{(3 a-b x^2) \sqrt [3]{a+b x^2}} \, dx\) [352]
\(\int \genfrac {}{}{}{}{1}{(c-d x^2) \sqrt [3]{c+3 d x^2}} \, dx\) [353]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a-b x^2} (3 a+b x^2)} \, dx\) [354]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{c-3 d x^2} (c+d x^2)} \, dx\) [355]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\) [356]
\(\int \genfrac {}{}{}{}{1}{(3-x^2) \sqrt [3]{1+x^2}} \, dx\) [357]
\(\int \genfrac {}{}{}{}{3-x}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\) [358]
\(\int \genfrac {}{}{}{}{3+x}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\) [359]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x^2} (\genfrac {}{}{}{}{9 a d}{b}+d x^2)} \, dx\) [360]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a-b x^2} (-\genfrac {}{}{}{}{9 a d}{b}+d x^2)} \, dx\) [361]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{-a+b x^2} (-\genfrac {}{}{}{}{9 a d}{b}+d x^2)} \, dx\) [362]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{-a-b x^2} (\genfrac {}{}{}{}{9 a d}{b}+d x^2)} \, dx\) [363]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{2+b x^2} (\genfrac {}{}{}{}{18 d}{b}+d x^2)} \, dx\) [364]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{-2+b x^2} (-\genfrac {}{}{}{}{18 d}{b}+d x^2)} \, dx\) [365]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{2+3 x^2} (6 d+d x^2)} \, dx\) [366]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{2-3 x^2} (-6 d+d x^2)} \, dx\) [367]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{-2+3 x^2} (-6 d+d x^2)} \, dx\) [368]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{-2-3 x^2} (6 d+d x^2)} \, dx\) [369]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1+x^2} (9+x^2)} \, dx\) [370]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1+b x^2} (9+b x^2)} \, dx\) [371]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1-x^2} (9-x^2)} \, dx\) [372]
\(\int \sqrt [3]{a+b x^2} (c+d x^2)^2 \, dx\) [373]
\(\int \sqrt [3]{a+b x^2} (c+d x^2) \, dx\) [374]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x^2}}{c+d x^2} \, dx\) [375]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x^2}}{(c+d x^2)^2} \, dx\) [376]
\(\int \genfrac {}{}{}{}{(c+d x^2)^2}{\sqrt [3]{a+b x^2}} \, dx\) [377]
\(\int \genfrac {}{}{}{}{c+d x^2}{\sqrt [3]{a+b x^2}} \, dx\) [378]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x^2} (c+d x^2)} \, dx\) [379]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x^2} (c+d x^2)^2} \, dx\) [380]
\(\int \genfrac {}{}{}{}{(c+d x^2)^2}{(a+b x^2)^{4/3}} \, dx\) [381]
\(\int \genfrac {}{}{}{}{c+d x^2}{(a+b x^2)^{4/3}} \, dx\) [382]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{4/3} (c+d x^2)} \, dx\) [383]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{4/3} (c+d x^2)^2} \, dx\) [384]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{1+x^2} (2+x^2)} \, dx\) [385]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{1-x^2} (2-x^2)} \, dx\) [386]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{2+3 x^2} (4+3 x^2)} \, dx\) [387]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\) [388]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{2+b x^2} (4+b x^2)} \, dx\) [389]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{2-b x^2} (4-b x^2)} \, dx\) [390]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+3 x^2} (2 a+3 x^2)} \, dx\) [391]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a-3 x^2} (2 a-3 x^2)} \, dx\) [392]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+b x^2} (2 a+b x^2)} \, dx\) [393]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a-b x^2} (2 a-b x^2)} \, dx\) [394]
\(\int \genfrac {}{}{}{}{1}{(2-x^2) \sqrt [4]{-1+x^2}} \, dx\) [395]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{-1-x^2} (2+x^2)} \, dx\) [396]
\(\int \genfrac {}{}{}{}{1}{(-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\) [397]
\(\int \genfrac {}{}{}{}{1}{(-2-3 x^2) \sqrt [4]{-1-3 x^2}} \, dx\) [398]
\(\int \genfrac {}{}{}{}{1}{(-2+b x^2) \sqrt [4]{-1+b x^2}} \, dx\) [399]
\(\int \genfrac {}{}{}{}{1}{(-2-b x^2) \sqrt [4]{-1-b x^2}} \, dx\) [400]