3.4 Integrals 301 to 391

\(\int \genfrac {}{}{}{}{1}{(c+d x)^{7/3} (c^2-d^2 x^2)^{2/3}} \, dx\) [301]
\(\int \genfrac {}{}{}{}{c-d x}{(c^2-d^2 x^2)^{3/4}} \, dx\) [302]
\(\int \genfrac {}{}{}{}{\sqrt [4]{c^2-d^2 x^2}}{c+d x} \, dx\) [303]
\(\int \sqrt {2+e x} \sqrt [4]{12-3 e^2 x^2} \, dx\) [304]
\(\int \genfrac {}{}{}{}{\sqrt [4]{12-3 e^2 x^2}}{\sqrt {2+e x}} \, dx\) [305]
\(\int \genfrac {}{}{}{}{\sqrt [4]{12-3 e^2 x^2}}{(2+e x)^{3/2}} \, dx\) [306]
\(\int \genfrac {}{}{}{}{\sqrt [4]{12-3 e^2 x^2}}{(2+e x)^{5/2}} \, dx\) [307]
\(\int \genfrac {}{}{}{}{\sqrt [4]{12-3 e^2 x^2}}{(2+e x)^{7/2}} \, dx\) [308]
\(\int \genfrac {}{}{}{}{\sqrt [4]{12-3 e^2 x^2}}{(2+e x)^{9/2}} \, dx\) [309]
\(\int \genfrac {}{}{}{}{\sqrt [4]{12-3 e^2 x^2}}{(2+e x)^{11/2}} \, dx\) [310]
\(\int \genfrac {}{}{}{}{(2+e x)^{5/2}}{\sqrt [4]{12-3 e^2 x^2}} \, dx\) [311]
\(\int \genfrac {}{}{}{}{(2+e x)^{3/2}}{\sqrt [4]{12-3 e^2 x^2}} \, dx\) [312]
\(\int \genfrac {}{}{}{}{\sqrt {2+e x}}{\sqrt [4]{12-3 e^2 x^2}} \, dx\) [313]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+e x} \sqrt [4]{12-3 e^2 x^2}} \, dx\) [314]
\(\int \genfrac {}{}{}{}{1}{(2+e x)^{3/2} \sqrt [4]{12-3 e^2 x^2}} \, dx\) [315]
\(\int \genfrac {}{}{}{}{1}{(2+e x)^{5/2} \sqrt [4]{12-3 e^2 x^2}} \, dx\) [316]
\(\int \genfrac {}{}{}{}{1}{(2+e x)^{7/2} \sqrt [4]{12-3 e^2 x^2}} \, dx\) [317]
\(\int \genfrac {}{}{}{}{1}{(2+e x)^{9/2} \sqrt [4]{12-3 e^2 x^2}} \, dx\) [318]
\(\int (c+d x)^3 (c^2-d^2 x^2)^{2/5} \, dx\) [319]
\(\int (c+d x)^2 (c^2-d^2 x^2)^{2/5} \, dx\) [320]
\(\int (c+d x) (c^2-d^2 x^2)^{2/5} \, dx\) [321]
\(\int (c^2-d^2 x^2)^{2/5} \, dx\) [322]
\(\int \genfrac {}{}{}{}{(c^2-d^2 x^2)^{2/5}}{c+d x} \, dx\) [323]
\(\int \genfrac {}{}{}{}{(c^2-d^2 x^2)^{2/5}}{(c+d x)^2} \, dx\) [324]
\(\int \genfrac {}{}{}{}{(c^2-d^2 x^2)^{2/5}}{(c+d x)^3} \, dx\) [325]
\(\int \genfrac {}{}{}{}{(c-d x)^3}{(c^2-d^2 x^2)^{13/5}} \, dx\) [326]
\(\int \genfrac {}{}{}{}{c-d x}{(c^2-d^2 x^2)^{5/6}} \, dx\) [327]
\(\int \genfrac {}{}{}{}{\sqrt [6]{c^2-d^2 x^2}}{c+d x} \, dx\) [328]
\(\int (c+d x) (c^2-d^2 x^2)^{5/8} \, dx\) [329]
\(\int (c+d x) (c^2-d^2 x^2)^{3/8} \, dx\) [330]
\(\int (c+d x) \sqrt [8]{c^2-d^2 x^2} \, dx\) [331]
\(\int \genfrac {}{}{}{}{c+d x}{\sqrt [8]{c^2-d^2 x^2}} \, dx\) [332]
\(\int \genfrac {}{}{}{}{c+d x}{(c^2-d^2 x^2)^{3/8}} \, dx\) [333]
\(\int \genfrac {}{}{}{}{c-d x}{(c^2-d^2 x^2)^{7/8}} \, dx\) [334]
\(\int \genfrac {}{}{}{}{\sqrt [8]{c^2-d^2 x^2}}{c+d x} \, dx\) [335]
\(\int (c+d x)^n (b c^2-b d^2 x^2)^3 \, dx\) [336]
\(\int (c+d x)^n (b c^2-b d^2 x^2)^2 \, dx\) [337]
\(\int (c+d x)^n (b c^2-b d^2 x^2) \, dx\) [338]
\(\int \genfrac {}{}{}{}{(c+d x)^n}{b c^2-b d^2 x^2} \, dx\) [339]
\(\int \genfrac {}{}{}{}{(c+d x)^n}{(b c^2-b d^2 x^2)^2} \, dx\) [340]
\(\int \genfrac {}{}{}{}{(c+d x)^n}{(b c^2-b d^2 x^2)^3} \, dx\) [341]
\(\int (c+d x)^n (c^2-d^2 x^2)^{3/2} \, dx\) [342]
\(\int (c+d x)^n \sqrt {c^2-d^2 x^2} \, dx\) [343]
\(\int \genfrac {}{}{}{}{(c+d x)^n}{\sqrt {c^2-d^2 x^2}} \, dx\) [344]
\(\int \genfrac {}{}{}{}{(c+d x)^n}{(c^2-d^2 x^2)^{3/2}} \, dx\) [345]
\(\int \genfrac {}{}{}{}{(c+d x)^n}{(c^2-d^2 x^2)^{5/2}} \, dx\) [346]
\(\int \genfrac {}{}{}{}{(c+d x)^n}{(c^2-d^2 x^2)^{7/2}} \, dx\) [347]
\(\int (c+d x)^2 (1-\genfrac {}{}{}{}{d^2 x^2}{c^2})^p \, dx\) [348]
\(\int (c+d x) (1-\genfrac {}{}{}{}{d^2 x^2}{c^2})^p \, dx\) [349]
\(\int (1-\genfrac {}{}{}{}{d^2 x^2}{c^2})^p \, dx\) [350]
\(\int \genfrac {}{}{}{}{(1-\genfrac {}{}{}{}{d^2 x^2}{c^2})^p}{c+d x} \, dx\) [351]
\(\int \genfrac {}{}{}{}{(1-\genfrac {}{}{}{}{d^2 x^2}{c^2})^p}{(c+d x)^2} \, dx\) [352]
\(\int \genfrac {}{}{}{}{(1-\genfrac {}{}{}{}{d^2 x^2}{c^2})^p}{(c+d x)^3} \, dx\) [353]
\(\int (c+d x)^2 (c^2-d^2 x^2)^p \, dx\) [354]
\(\int (c+d x) (c^2-d^2 x^2)^p \, dx\) [355]
\(\int (c^2-d^2 x^2)^p \, dx\) [356]
\(\int \genfrac {}{}{}{}{(c^2-d^2 x^2)^p}{c+d x} \, dx\) [357]
\(\int \genfrac {}{}{}{}{(c^2-d^2 x^2)^p}{(c+d x)^2} \, dx\) [358]
\(\int \genfrac {}{}{}{}{(c^2-d^2 x^2)^p}{(c+d x)^3} \, dx\) [359]
\(\int d x (c^2-d^2 x^2)^p \, dx\) [360]
\(\int (-c (c^2-d^2 x^2)^p+(c+d x) (c^2-d^2 x^2)^p) \, dx\) [361]
\(\int (c+d x)^{3/2} (1-\genfrac {}{}{}{}{d^2 x^2}{c^2})^p \, dx\) [362]
\(\int (c+d x)^{3/2} (1-\genfrac {}{}{}{}{d^2 x^2}{c^2})^p \, dx\) [363]
\(\int \genfrac {}{}{}{}{(1-\genfrac {}{}{}{}{d^2 x^2}{c^2})^p}{\sqrt {c+d x}} \, dx\) [364]
\(\int \genfrac {}{}{}{}{(1-\genfrac {}{}{}{}{d^2 x^2}{c^2})^p}{(c+d x)^{3/2}} \, dx\) [365]
\(\int (c+d x)^{3/2} (c^2-d^2 x^2)^p \, dx\) [366]
\(\int \sqrt {c+d x} (c^2-d^2 x^2)^p \, dx\) [367]
\(\int \genfrac {}{}{}{}{(c^2-d^2 x^2)^p}{\sqrt {c+d x}} \, dx\) [368]
\(\int \genfrac {}{}{}{}{(c^2-d^2 x^2)^p}{(c+d x)^{3/2}} \, dx\) [369]
\(\int (c+d x)^n (c^2-d^2 x^2)^p \, dx\) [370]
\(\int (c-d x)^n (c^2-d^2 x^2)^p \, dx\) [371]
\(\int (1+d x)^{3-p} (1-d^2 x^2)^p \, dx\) [372]
\(\int (1+d x)^{2-p} (1-d^2 x^2)^p \, dx\) [373]
\(\int (1+d x)^{1-p} (1-d^2 x^2)^p \, dx\) [374]
\(\int (1+d x)^{-p} (1-d^2 x^2)^p \, dx\) [375]
\(\int (1+d x)^{-1-p} (1-d^2 x^2)^p \, dx\) [376]
\(\int (1+d x)^{-2-p} (1-d^2 x^2)^p \, dx\) [377]
\(\int (1+d x)^{-3-p} (1-d^2 x^2)^p \, dx\) [378]
\(\int (d+e x)^{-5-2 p} (d^2-e^2 x^2)^p \, dx\) [379]
\(\int (d+e x)^{-4-2 p} (d^2-e^2 x^2)^p \, dx\) [380]
\(\int (d+e x)^{-3-2 p} (d^2-e^2 x^2)^p \, dx\) [381]
\(\int (d+e x)^{-2-2 p} (d^2-e^2 x^2)^p \, dx\) [382]
\(\int (d+e x)^{-1-2 p} (d^2-e^2 x^2)^p \, dx\) [383]
\(\int (d+e x)^{-2 p} (d^2-e^2 x^2)^p \, dx\) [384]
\(\int (d+e x)^{1-2 p} (d^2-e^2 x^2)^p \, dx\) [385]
\(\int (2+e x)^q (4-e^2 x^2)^p \, dx\) [386]
\(\int (2-e x)^{-q} (4-e^2 x^2)^{p+q} \, dx\) [387]
\(\int (2-e x)^p (2+e x)^{p+q} \, dx\) [388]
\(\int (6-3 b x)^3 (12-3 b^2 x^2)^p \, dx\) [389]
\(\int \genfrac {}{}{}{}{(12-3 b^2 x^2)^{3+p}}{(2+b x)^3} \, dx\) [390]
\(\int (6-3 b x)^{3+p} (2+b x)^p \, dx\) [391]