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3.6
Integrals 501 to 569
3.6.1
\(\int \genfrac {}{}{}{}{a+b \cosh ^{-1}(c x)}{x^3 (d+e x^2)^2} \, dx\) [501]
3.6.2
\(\int \genfrac {}{}{}{}{x^4 (a+b \cosh ^{-1}(c x))}{(d+e x^2)^2} \, dx\) [502]
3.6.3
\(\int \genfrac {}{}{}{}{x^2 (a+b \cosh ^{-1}(c x))}{(d+e x^2)^2} \, dx\) [503]
3.6.4
\(\int \genfrac {}{}{}{}{a+b \cosh ^{-1}(c x)}{(d+e x^2)^2} \, dx\) [504]
3.6.5
\(\int \genfrac {}{}{}{}{a+b \cosh ^{-1}(c x)}{x^2 (d+e x^2)^2} \, dx\) [505]
3.6.6
\(\int \genfrac {}{}{}{}{x^5 (a+b \cosh ^{-1}(c x))}{(d+e x^2)^3} \, dx\) [506]
3.6.7
\(\int \genfrac {}{}{}{}{x^3 (a+b \cosh ^{-1}(c x))}{(d+e x^2)^3} \, dx\) [507]
3.6.8
\(\int \genfrac {}{}{}{}{x (a+b \cosh ^{-1}(c x))}{(d+e x^2)^3} \, dx\) [508]
3.6.9
\(\int \genfrac {}{}{}{}{a+b \cosh ^{-1}(c x)}{x (d+e x^2)^3} \, dx\) [509]
3.6.10
\(\int \genfrac {}{}{}{}{a+b \cosh ^{-1}(c x)}{x^3 (d+e x^2)^3} \, dx\) [510]
3.6.11
\(\int \genfrac {}{}{}{}{x^4 (a+b \cosh ^{-1}(c x))}{(d+e x^2)^3} \, dx\) [511]
3.6.12
\(\int \genfrac {}{}{}{}{x^2 (a+b \cosh ^{-1}(c x))}{(d+e x^2)^3} \, dx\) [512]
3.6.13
\(\int \genfrac {}{}{}{}{a+b \cosh ^{-1}(c x)}{(d+e x^2)^3} \, dx\) [513]
3.6.14
\(\int \sqrt {d+e x^2} (a+b \cosh ^{-1}(c x)) \, dx\) [514]
3.6.15
\(\int \genfrac {}{}{}{}{a+b \cosh ^{-1}(c x)}{\sqrt {d+e x^2}} \, dx\) [515]
3.6.16
\(\int \genfrac {}{}{}{}{a+b \cosh ^{-1}(c x)}{(d+e x^2)^{3/2}} \, dx\) [516]
3.6.17
\(\int \genfrac {}{}{}{}{a+b \cosh ^{-1}(c x)}{(d+e x^2)^{5/2}} \, dx\) [517]
3.6.18
\(\int \genfrac {}{}{}{}{a+b \cosh ^{-1}(c x)}{(d+e x^2)^{7/2}} \, dx\) [518]
3.6.19
\(\int (f x)^m (d+e x^2)^3 (a+b \cosh ^{-1}(c x)) \, dx\) [519]
3.6.20
\(\int (f x)^m (d+e x^2)^2 (a+b \cosh ^{-1}(c x)) \, dx\) [520]
3.6.21
\(\int (f x)^m (d+e x^2) (a+b \cosh ^{-1}(c x)) \, dx\) [521]
3.6.22
\(\int \genfrac {}{}{}{}{(f x)^m (a+b \cosh ^{-1}(c x))}{d+e x^2} \, dx\) [522]
3.6.23
\(\int \genfrac {}{}{}{}{(f x)^m (a+b \cosh ^{-1}(c x))}{(d+e x^2)^2} \, dx\) [523]
3.6.24
\(\int \genfrac {}{}{}{}{(f x)^m (a+b \cosh ^{-1}(c x))}{(d+e x^2)^3} \, dx\) [524]
3.6.25
\(\int (d+e x^2)^3 (a+b \cosh ^{-1}(c x))^2 \, dx\) [525]
3.6.26
\(\int (d+e x^2)^2 (a+b \cosh ^{-1}(c x))^2 \, dx\) [526]
3.6.27
\(\int (d+e x^2) (a+b \cosh ^{-1}(c x))^2 \, dx\) [527]
3.6.28
\(\int (a+b \cosh ^{-1}(c x))^2 \, dx\) [528]
3.6.29
\(\int \genfrac {}{}{}{}{(a+b \cosh ^{-1}(c x))^2}{d+e x^2} \, dx\) [529]
3.6.30
\(\int \sqrt {d+e x^2} (a+b \cosh ^{-1}(c x))^2 \, dx\) [530]
3.6.31
\(\int \genfrac {}{}{}{}{(a+b \cosh ^{-1}(c x))^2}{\sqrt {d+e x^2}} \, dx\) [531]
3.6.32
\(\int \genfrac {}{}{}{}{(a+b \cosh ^{-1}(c x))^2}{(d+e x^2)^{3/2}} \, dx\) [532]
3.6.33
\(\int \genfrac {}{}{}{}{(a+b \cosh ^{-1}(c x))^2}{(d+e x^2)^{5/2}} \, dx\) [533]
3.6.34
\(\int \genfrac {}{}{}{}{(d+e x^2)^2}{a+b \cosh ^{-1}(c x)} \, dx\) [534]
3.6.35
\(\int \genfrac {}{}{}{}{d+e x^2}{a+b \cosh ^{-1}(c x)} \, dx\) [535]
3.6.36
\(\int \genfrac {}{}{}{}{1}{a+b \cosh ^{-1}(c x)} \, dx\) [536]
3.6.37
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) (a+b \cosh ^{-1}(c x))} \, dx\) [537]
3.6.38
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 (a+b \cosh ^{-1}(c x))} \, dx\) [538]
3.6.39
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2}}{a+b \cosh ^{-1}(c x)} \, dx\) [539]
3.6.40
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x^2} (a+b \cosh ^{-1}(c x))} \, dx\) [540]
3.6.41
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{3/2} (a+b \cosh ^{-1}(c x))} \, dx\) [541]
3.6.42
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{5/2} (a+b \cosh ^{-1}(c x))} \, dx\) [542]
3.6.43
\(\int \genfrac {}{}{}{}{(d+e x^2)^2}{(a+b \cosh ^{-1}(c x))^2} \, dx\) [543]
3.6.44
\(\int \genfrac {}{}{}{}{d+e x^2}{(a+b \cosh ^{-1}(c x))^2} \, dx\) [544]
3.6.45
\(\int \genfrac {}{}{}{}{1}{(a+b \cosh ^{-1}(c x))^2} \, dx\) [545]
3.6.46
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) (a+b \cosh ^{-1}(c x))^2} \, dx\) [546]
3.6.47
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 (a+b \cosh ^{-1}(c x))^2} \, dx\) [547]
3.6.48
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2}}{(a+b \cosh ^{-1}(c x))^2} \, dx\) [548]
3.6.49
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x^2} (a+b \cosh ^{-1}(c x))^2} \, dx\) [549]
3.6.50
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{3/2} (a+b \cosh ^{-1}(c x))^2} \, dx\) [550]
3.6.51
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{5/2} (a+b \cosh ^{-1}(c x))^2} \, dx\) [551]
3.6.52
\(\int (d+e x^2)^2 \sqrt {a+b \cosh ^{-1}(c x)} \, dx\) [552]
3.6.53
\(\int (d+e x^2) \sqrt {a+b \cosh ^{-1}(c x)} \, dx\) [553]
3.6.54
\(\int \sqrt {a+b \cosh ^{-1}(c x)} \, dx\) [554]
3.6.55
\(\int \genfrac {}{}{}{}{\sqrt {a+b \cosh ^{-1}(c x)}}{d+e x^2} \, dx\) [555]
3.6.56
\(\int \genfrac {}{}{}{}{\sqrt {a+b \cosh ^{-1}(c x)}}{(d+e x^2)^2} \, dx\) [556]
3.6.57
\(\int (d+e x^2) (a+b \cosh ^{-1}(c x))^{3/2} \, dx\) [557]
3.6.58
\(\int (a+b \cosh ^{-1}(c x))^{3/2} \, dx\) [558]
3.6.59
\(\int \genfrac {}{}{}{}{(a+b \cosh ^{-1}(c x))^{3/2}}{d+e x^2} \, dx\) [559]
3.6.60
\(\int \genfrac {}{}{}{}{(a+b \cosh ^{-1}(c x))^{3/2}}{(d+e x^2)^2} \, dx\) [560]
3.6.61
\(\int \genfrac {}{}{}{}{(d+e x^2)^2}{\sqrt {a+b \cosh ^{-1}(c x)}} \, dx\) [561]
3.6.62
\(\int \genfrac {}{}{}{}{d+e x^2}{\sqrt {a+b \cosh ^{-1}(c x)}} \, dx\) [562]
3.6.63
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \cosh ^{-1}(c x)}} \, dx\) [563]
3.6.64
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) \sqrt {a+b \cosh ^{-1}(c x)}} \, dx\) [564]
3.6.65
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 \sqrt {a+b \cosh ^{-1}(c x)}} \, dx\) [565]
3.6.66
\(\int \genfrac {}{}{}{}{d+e x^2}{(a+b \cosh ^{-1}(c x))^{3/2}} \, dx\) [566]
3.6.67
\(\int \genfrac {}{}{}{}{1}{(a+b \cosh ^{-1}(c x))^{3/2}} \, dx\) [567]
3.6.68
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) (a+b \cosh ^{-1}(c x))^{3/2}} \, dx\) [568]
3.6.69
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 (a+b \cosh ^{-1}(c x))^{3/2}} \, dx\) [569]
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