[
prev
] [
prev-tail
] [
tail
] [
up
]
3.2
Integrals 101 to 140
3.2.1
\(\int \genfrac {}{}{}{}{1}{x (a x+b x^3+c x^5)^2} \, dx\) [101]
3.2.2
\(\int \genfrac {}{}{}{}{1}{x^2 (a x+b x^3+c x^5)^2} \, dx\) [102]
3.2.3
\(\int \genfrac {}{}{}{}{1}{x^3 (a x+b x^3+c x^5)^2} \, dx\) [103]
3.2.4
\(\int \genfrac {}{}{}{}{x}{\sqrt {a x+b x^3+c x^5}} \, dx\) [104]
3.2.5
\(\int x^{3/2} \sqrt {a x+b x^3+c x^5} \, dx\) [105]
3.2.6
\(\int \sqrt {x} \sqrt {a x+b x^3+c x^5} \, dx\) [106]
3.2.7
\(\int \genfrac {}{}{}{}{\sqrt {a x+b x^3+c x^5}}{\sqrt {x}} \, dx\) [107]
3.2.8
\(\int \genfrac {}{}{}{}{\sqrt {a x+b x^3+c x^5}}{x^{3/2}} \, dx\) [108]
3.2.9
\(\int x^{3/2} (a x+b x^3+c x^5)^{3/2} \, dx\) [109]
3.2.10
\(\int \sqrt {x} (a x+b x^3+c x^5)^{3/2} \, dx\) [110]
3.2.11
\(\int \genfrac {}{}{}{}{(a x+b x^3+c x^5)^{3/2}}{\sqrt {x}} \, dx\) [111]
3.2.12
\(\int \genfrac {}{}{}{}{(a x+b x^3+c x^5)^{3/2}}{x^{3/2}} \, dx\) [112]
3.2.13
\(\int \genfrac {}{}{}{}{x^{3/2}}{\sqrt {a x+b x^3+c x^5}} \, dx\) [113]
3.2.14
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {a x+b x^3+c x^5}} \, dx\) [114]
3.2.15
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {a x+b x^3+c x^5}} \, dx\) [115]
3.2.16
\(\int \genfrac {}{}{}{}{1}{x^{3/2} \sqrt {a x+b x^3+c x^5}} \, dx\) [116]
3.2.17
\(\int \genfrac {}{}{}{}{x^{3/2}}{(a x+b x^3+c x^5)^{3/2}} \, dx\) [117]
3.2.18
\(\int \genfrac {}{}{}{}{\sqrt {x}}{(a x+b x^3+c x^5)^{3/2}} \, dx\) [118]
3.2.19
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} (a x+b x^3+c x^5)^{3/2}} \, dx\) [119]
3.2.20
\(\int \genfrac {}{}{}{}{1}{x^{3/2} (a x+b x^3+c x^5)^{3/2}} \, dx\) [120]
3.2.21
\(\int \genfrac {}{}{}{}{x^{\genfrac {}{}{}{}{3}{2} (-1+n)}}{(a x^{-1+n}+b x^n+c x^{1+n})^{3/2}} \, dx\) [121]
3.2.22
\(\int \genfrac {}{}{}{}{x (d+e x^2)}{\sqrt {a x+b x^3+c x^5}} \, dx\) [122]
3.2.23
\(\int \genfrac {}{}{}{}{1}{\sqrt {3 x^2-3 x^4+x^6}} \, dx\) [123]
3.2.24
\(\int \genfrac {}{}{}{}{1}{\sqrt {x^2 (3-3 x^2+x^4)}} \, dx\) [124]
3.2.25
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-(1-x^2)^3}} \, dx\) [125]
3.2.26
\(\int \sqrt {3 x^2-3 x^4+x^6} \, dx\) [126]
3.2.27
\(\int \sqrt {x^2 (3-3 x^2+x^4)} \, dx\) [127]
3.2.28
\(\int \sqrt {1-(1-x^2)^3} \, dx\) [128]
3.2.29
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x+c x^2}} \, dx\) [129]
3.2.30
\(\int \genfrac {}{}{}{}{1}{\sqrt {x^2 (a+b x+c x^2)}} \, dx\) [130]
3.2.31
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {x (a+b x+c x^2)}} \, dx\) [131]
3.2.32
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {x^3 (a+b x+c x^2)}} \, dx\) [132]
3.2.33
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x^2+c x^4}} \, dx\) [133]
3.2.34
\(\int \genfrac {}{}{}{}{1}{\sqrt {x^2 (a+b x^2+c x^4)}} \, dx\) [134]
3.2.35
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {x (a+b x^2+c x^4)}} \, dx\) [135]
3.2.36
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {x^3 (a+b x^2+c x^4)}} \, dx\) [136]
3.2.37
\(\int \genfrac {}{}{}{}{1}{x \sqrt {3-3 x^2+x^4}} \, dx\) [137]
3.2.38
\(\int \genfrac {}{}{}{}{1}{\sqrt {x^2 (3-3 x^2+x^4)}} \, dx\) [138]
3.2.39
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {x (3-3 x+x^2)}} \, dx\) [139]
3.2.40
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{q}{2}}}{\sqrt {b x^n+c x^{2 n-q}+a x^q}} \, dx\) [140]
[
prev
] [
prev-tail
] [
front
] [
up
]