3.4 Integrals 301 to 386

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