[
next
] [
prev
] [
prev-tail
] [
tail
] [
up
]
3.2
Integrals 101 to 200
\(\int \genfrac {}{}{}{}{2+3 x}{(2^{2/3}+x) \sqrt {-1-x^3}} \, dx\) [101]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3}+x) \sqrt {1+x^3}} \, dx\) [102]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3}-x) \sqrt {1-x^3}} \, dx\) [103]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3}-x) \sqrt {-1+x^3}} \, dx\) [104]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3}+x) \sqrt {-1-x^3}} \, dx\) [105]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3} \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [106]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3} \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [107]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3} \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [108]
\(\int \genfrac {}{}{}{}{e+f x}{(2^{2/3} \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [109]
\(\int \genfrac {}{}{}{}{e+f x}{(c+d x) \sqrt {c^3+4 d^3 x^3}} \, dx\) [110]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3}+x) \sqrt {1+x^3}} \, dx\) [111]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3}-x) \sqrt {1-x^3}} \, dx\) [112]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3}-x) \sqrt {-1+x^3}} \, dx\) [113]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3}+x) \sqrt {-1-x^3}} \, dx\) [114]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3} \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [115]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3} \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [116]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3} \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [117]
\(\int \genfrac {}{}{}{}{x}{(2^{2/3} \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [118]
\(\int \genfrac {}{}{}{}{x}{(c+d x) \sqrt {c^3+4 d^3 x^3}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{1+x}{(2-x) \sqrt {1+x^3}} \, dx\) [120]
\(\int \genfrac {}{}{}{}{1-x}{(2+x) \sqrt {1-x^3}} \, dx\) [121]
\(\int \genfrac {}{}{}{}{1-x}{(2+x) \sqrt {-1+x^3}} \, dx\) [122]
\(\int \genfrac {}{}{}{}{1+x}{(2-x) \sqrt {-1-x^3}} \, dx\) [123]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a}+\sqrt [3]{b} x}{(2 \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [124]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a}-\sqrt [3]{b} x}{(2 \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [125]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a}-\sqrt [3]{b} x}{(2 \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [126]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a}+\sqrt [3]{b} x}{(2 \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [127]
\(\int \genfrac {}{}{}{}{c-2 d x}{(c+d x) \sqrt {c^3-8 d^3 x^3}} \, dx\) [128]
\(\int \genfrac {}{}{}{}{e+f x}{(2-x) \sqrt {1+x^3}} \, dx\) [129]
\(\int \genfrac {}{}{}{}{e+f x}{(2+x) \sqrt {1-x^3}} \, dx\) [130]
\(\int \genfrac {}{}{}{}{e+f x}{(2+x) \sqrt {-1+x^3}} \, dx\) [131]
\(\int \genfrac {}{}{}{}{e+f x}{(2-x) \sqrt {-1-x^3}} \, dx\) [132]
\(\int \genfrac {}{}{}{}{e+f x}{(2 \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [133]
\(\int \genfrac {}{}{}{}{e+f x}{(2 \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [134]
\(\int \genfrac {}{}{}{}{e+f x}{(2 \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [135]
\(\int \genfrac {}{}{}{}{e+f x}{(2 \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [136]
\(\int \genfrac {}{}{}{}{e+f x}{(c+d x) \sqrt {c^3-8 d^3 x^3}} \, dx\) [137]
\(\int \genfrac {}{}{}{}{x}{(2-x) \sqrt {1+x^3}} \, dx\) [138]
\(\int \genfrac {}{}{}{}{x}{(2+x) \sqrt {1-x^3}} \, dx\) [139]
\(\int \genfrac {}{}{}{}{x}{(2+x) \sqrt {-1+x^3}} \, dx\) [140]
\(\int \genfrac {}{}{}{}{x}{(2-x) \sqrt {-1-x^3}} \, dx\) [141]
\(\int \genfrac {}{}{}{}{x}{(2 \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [142]
\(\int \genfrac {}{}{}{}{x}{(2 \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [143]
\(\int \genfrac {}{}{}{}{x}{(2 \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [144]
\(\int \genfrac {}{}{}{}{x}{(2 \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [145]
\(\int \genfrac {}{}{}{}{x}{(c+d x) \sqrt {c^3-8 d^3 x^3}} \, dx\) [146]
\(\int \genfrac {}{}{}{}{1+\sqrt {3}+x}{(1-\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [147]
\(\int \genfrac {}{}{}{}{1+\sqrt {3}-x}{(1-\sqrt {3}-x) \sqrt {1-x^3}} \, dx\) [148]
\(\int \genfrac {}{}{}{}{1+\sqrt {3}-x}{(1-\sqrt {3}-x) \sqrt {-1+x^3}} \, dx\) [149]
\(\int \genfrac {}{}{}{}{1+\sqrt {3}+x}{(1-\sqrt {3}+x) \sqrt {-1-x^3}} \, dx\) [150]
\(\int \genfrac {}{}{}{}{(1+\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x}{((1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [151]
\(\int \genfrac {}{}{}{}{(1+\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x}{((1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [152]
\(\int \genfrac {}{}{}{}{(1+\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x}{((1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [153]
\(\int \genfrac {}{}{}{}{(1+\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x}{((1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [154]
\(\int \genfrac {}{}{}{}{1+\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1-\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {a+b x^3}} \, dx\) [155]
\(\int \genfrac {}{}{}{}{1+\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1-\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {a-b x^3}} \, dx\) [156]
\(\int \genfrac {}{}{}{}{1+\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1-\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {-a+b x^3}} \, dx\) [157]
\(\int \genfrac {}{}{}{}{1+\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1-\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {-a-b x^3}} \, dx\) [158]
\(\int \genfrac {}{}{}{}{1-\sqrt {3}+x}{(1+\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [159]
\(\int \genfrac {}{}{}{}{1-\sqrt {3}-x}{(1+\sqrt {3}-x) \sqrt {1-x^3}} \, dx\) [160]
\(\int \genfrac {}{}{}{}{1-\sqrt {3}-x}{(1+\sqrt {3}-x) \sqrt {-1+x^3}} \, dx\) [161]
\(\int \genfrac {}{}{}{}{1-\sqrt {3}+x}{(1+\sqrt {3}+x) \sqrt {-1-x^3}} \, dx\) [162]
\(\int \genfrac {}{}{}{}{(1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x}{((1+\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [163]
\(\int \genfrac {}{}{}{}{(1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x}{((1+\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [164]
\(\int \genfrac {}{}{}{}{(1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x}{((1+\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [165]
\(\int \genfrac {}{}{}{}{(1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x}{((1+\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [166]
\(\int \genfrac {}{}{}{}{1-\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1+\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {a+b x^3}} \, dx\) [167]
\(\int \genfrac {}{}{}{}{1-\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1+\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {a-b x^3}} \, dx\) [168]
\(\int \genfrac {}{}{}{}{1-\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1+\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {-a+b x^3}} \, dx\) [169]
\(\int \genfrac {}{}{}{}{1-\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1+\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {-a-b x^3}} \, dx\) [170]
\(\int \genfrac {}{}{}{}{1+x}{(1+\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [171]
\(\int \genfrac {}{}{}{}{1+x}{(1-\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [172]
\(\int \genfrac {}{}{}{}{e+f x}{(1+\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [173]
\(\int \genfrac {}{}{}{}{e+f x}{(1+\sqrt {3}-x) \sqrt {1-x^3}} \, dx\) [174]
\(\int \genfrac {}{}{}{}{e+f x}{(1+\sqrt {3}-x) \sqrt {-1+x^3}} \, dx\) [175]
\(\int \genfrac {}{}{}{}{e+f x}{(1+\sqrt {3}+x) \sqrt {-1-x^3}} \, dx\) [176]
\(\int \genfrac {}{}{}{}{e+f x}{((1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [177]
\(\int \genfrac {}{}{}{}{e+f x}{((1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [178]
\(\int \genfrac {}{}{}{}{e+f x}{((1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [179]
\(\int \genfrac {}{}{}{}{e+f x}{((1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [180]
\(\int \genfrac {}{}{}{}{x}{(1+\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [181]
\(\int \genfrac {}{}{}{}{x}{(1+\sqrt {3}-x) \sqrt {1-x^3}} \, dx\) [182]
\(\int \genfrac {}{}{}{}{x}{(1+\sqrt {3}-x) \sqrt {-1+x^3}} \, dx\) [183]
\(\int \genfrac {}{}{}{}{x}{(1+\sqrt {3}+x) \sqrt {-1-x^3}} \, dx\) [184]
\(\int \genfrac {}{}{}{}{x}{(1-\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [185]
\(\int \genfrac {}{}{}{}{x}{((1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [186]
\(\int \genfrac {}{}{}{}{x}{((1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [187]
\(\int \genfrac {}{}{}{}{x}{((1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [188]
\(\int \genfrac {}{}{}{}{x}{((1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [189]
\(\int \genfrac {}{}{}{}{1+\sqrt {3}+x}{(c+d x) \sqrt {1+x^3}} \, dx\) [190]
\(\int \genfrac {}{}{}{}{1+\sqrt {3}-x}{(c+d x) \sqrt {1-x^3}} \, dx\) [191]
\(\int \genfrac {}{}{}{}{1+\sqrt {3}-x}{(c+d x) \sqrt {-1+x^3}} \, dx\) [192]
\(\int \genfrac {}{}{}{}{1+\sqrt {3}+x}{(c+d x) \sqrt {-1-x^3}} \, dx\) [193]
\(\int \genfrac {}{}{}{}{1-\sqrt {3}+x}{(c+d x) \sqrt {1+x^3}} \, dx\) [194]
\(\int \genfrac {}{}{}{}{1-\sqrt {3}-x}{(c+d x) \sqrt {1-x^3}} \, dx\) [195]
\(\int \genfrac {}{}{}{}{1-\sqrt {3}-x}{(c+d x) \sqrt {-1+x^3}} \, dx\) [196]
\(\int \genfrac {}{}{}{}{1-\sqrt {3}+x}{(c+d x) \sqrt {-1-x^3}} \, dx\) [197]
\(\int \genfrac {}{}{}{}{1+\sqrt {3}+x}{x \sqrt {1+x^3}} \, dx\) [198]
\(\int \genfrac {}{}{}{}{1+\sqrt {3}-x}{x \sqrt {1-x^3}} \, dx\) [199]
\(\int \genfrac {}{}{}{}{1+\sqrt {3}-x}{x \sqrt {-1+x^3}} \, dx\) [200]
[
next
] [
prev
] [
prev-tail
] [
front
] [
up
]