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Chapter 3
Listing of integrals
3.1
\(\int \frac {(A+B x^2) (d+e x^2)^3}{\sqrt {a+c x^4}} \, dx\)
3.2
\(\int \frac {(A+B x^2) (d+e x^2)^2}{\sqrt {a+c x^4}} \, dx\)
3.3
\(\int \frac {(A+B x^2) (d+e x^2)}{\sqrt {a+c x^4}} \, dx\)
3.4
\(\int \frac {A+B x^2}{\sqrt {a+c x^4}} \, dx\)
3.5
\(\int \frac {A+B x^2}{(d+e x^2) \sqrt {a+c x^4}} \, dx\)
3.6
\(\int \frac {A+B x^2}{(d+e x^2)^2 \sqrt {a+c x^4}} \, dx\)
3.7
\(\int \frac {A+B x^2}{(d+e x^2)^3 \sqrt {a+c x^4}} \, dx\)
3.8
\(\int \frac {(A+B x^2) (d+e x^2)^3}{(a+c x^4)^{3/2}} \, dx\)
3.9
\(\int \frac {(A+B x^2) (d+e x^2)^2}{(a+c x^4)^{3/2}} \, dx\)
3.10
\(\int \frac {(A+B x^2) (d+e x^2)}{(a+c x^4)^{3/2}} \, dx\)
3.11
\(\int \frac {A+B x^2}{(a+c x^4)^{3/2}} \, dx\)
3.12
\(\int \frac {A+B x^2}{(d+e x^2) (a+c x^4)^{3/2}} \, dx\)
3.13
\(\int \frac {A+B x^2}{(d+e x^2)^2 (a+c x^4)^{3/2}} \, dx\)
3.14
\(\int \frac {A+B x^2}{(d+e x^2)^3 (a+c x^4)^{3/2}} \, dx\)
3.15
\(\int \frac {(A+B x^2) (d+e x^2)^q}{a+c x^4} \, dx\)
3.16
\(\int \frac {2+x^2}{(1+x^2) \sqrt {2+3 x^2+x^4}} \, dx\)
3.17
\(\int \frac {(A+B x^2) (d+e x^2)^3}{\sqrt {a+b x^2+c x^4}} \, dx\)
3.18
\(\int \frac {(A+B x^2) (d+e x^2)^2}{\sqrt {a+b x^2+c x^4}} \, dx\)
3.19
\(\int \frac {(A+B x^2) (d+e x^2)}{\sqrt {a+b x^2+c x^4}} \, dx\)
3.20
\(\int \frac {A+B x^2}{\sqrt {a+b x^2+c x^4}} \, dx\)
3.21
\(\int \frac {A+B x^2}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\)
3.22
\(\int \frac {A+B x^2}{(d+e x^2)^2 \sqrt {a+b x^2+c x^4}} \, dx\)
3.23
\(\int \frac {A+B x^2}{(d+e x^2)^3 \sqrt {a+b x^2+c x^4}} \, dx\)
3.24
\(\int \frac {(A+B x^2) (d+e x^2)^3}{(a+b x^2+c x^4)^{3/2}} \, dx\)
3.25
\(\int \frac {(A+B x^2) (d+e x^2)^2}{(a+b x^2+c x^4)^{3/2}} \, dx\)
3.26
\(\int \frac {(A+B x^2) (d+e x^2)}{(a+b x^2+c x^4)^{3/2}} \, dx\)
3.27
\(\int \frac {A+B x^2}{(a+b x^2+c x^4)^{3/2}} \, dx\)
3.28
\(\int \frac {A+B x^2}{(d+e x^2) (a+b x^2+c x^4)^{3/2}} \, dx\)
3.29
\(\int \frac {A+B x^2}{(d+e x^2)^2 (a+b x^2+c x^4)^{3/2}} \, dx\)
3.30
\(\int \frac {\sqrt {a}+\sqrt {c} x^2}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\)
3.31
\(\int \frac {1+\sqrt {\frac {c}{a}} x^2}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\)
3.32
\(\int \frac {946+315 x^2}{(7+5 x^2) \sqrt {2+3 x^2+x^4}} \, dx\)
3.33
\(\int \frac {(A+B x^2) (d+e x^2)^q}{a+b x^2+c x^4} \, dx\)
3.34
\(\int \frac {x (1+2 x^2)}{\sqrt {1+x^2} (1+x^2+x^4)} \, dx\)
3.35
\(\int \frac {\sqrt {a+b x^2+c x^4}}{a d-c d x^4} \, dx\)
3.36
\(\int \frac {\sqrt {a+b x^2-c x^4}}{a d+c d x^4} \, dx\)
3.37
\(\int x \sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\)
3.38
\(\int \sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\)
3.39
\(\int \frac {\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x} \, dx\)
3.40
\(\int \frac {\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x^2} \, dx\)
3.41
\(\int \frac {\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x^3} \, dx\)
3.42
\(\int \frac {\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x^4} \, dx\)
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