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3.7
Integrals 601 to 663
3.7.1
\(\int \genfrac {}{}{}{}{(d+i c d x)^{3/2} (a+b \sinh ^{-1}(c x))^2}{(f-i c f x)^{5/2}} \, dx\) [601]
3.7.2
\(\int \genfrac {}{}{}{}{\sqrt {d+i c d x} (a+b \sinh ^{-1}(c x))^2}{(f-i c f x)^{5/2}} \, dx\) [602]
3.7.3
\(\int \genfrac {}{}{}{}{(a+b \sinh ^{-1}(c x))^2}{\sqrt {d+i c d x} (f-i c f x)^{5/2}} \, dx\) [603]
3.7.4
\(\int \genfrac {}{}{}{}{(a+b \sinh ^{-1}(c x))^2}{(d+i c d x)^{3/2} (f-i c f x)^{5/2}} \, dx\) [604]
3.7.5
\(\int \genfrac {}{}{}{}{(a+b \sinh ^{-1}(c x))^2}{(d+i c d x)^{5/2} (f-i c f x)^{5/2}} \, dx\) [605]
3.7.6
\(\int (d+e x^2)^4 (a+b \sinh ^{-1}(c x)) \, dx\) [606]
3.7.7
\(\int (d+e x^2)^3 (a+b \sinh ^{-1}(c x)) \, dx\) [607]
3.7.8
\(\int (d+e x^2)^2 (a+b \sinh ^{-1}(c x)) \, dx\) [608]
3.7.9
\(\int (d+e x^2) (a+b \sinh ^{-1}(c x)) \, dx\) [609]
3.7.10
\(\int (a+b \sinh ^{-1}(c x)) \, dx\) [610]
3.7.11
\(\int \genfrac {}{}{}{}{a+b \sinh ^{-1}(c x)}{d+e x^2} \, dx\) [611]
3.7.12
\(\int \genfrac {}{}{}{}{a+b \sinh ^{-1}(c x)}{(d+e x^2)^2} \, dx\) [612]
3.7.13
\(\int (d+e x^2)^3 (a+b \sinh ^{-1}(c x))^2 \, dx\) [613]
3.7.14
\(\int (d+e x^2)^2 (a+b \sinh ^{-1}(c x))^2 \, dx\) [614]
3.7.15
\(\int (d+e x^2) (a+b \sinh ^{-1}(c x))^2 \, dx\) [615]
3.7.16
\(\int (a+b \sinh ^{-1}(c x))^2 \, dx\) [616]
3.7.17
\(\int \genfrac {}{}{}{}{(a+b \sinh ^{-1}(c x))^2}{d+e x^2} \, dx\) [617]
3.7.18
\(\int \genfrac {}{}{}{}{(d+e x^2)^3}{a+b \sinh ^{-1}(c x)} \, dx\) [618]
3.7.19
\(\int \genfrac {}{}{}{}{(d+e x^2)^2}{a+b \sinh ^{-1}(c x)} \, dx\) [619]
3.7.20
\(\int \genfrac {}{}{}{}{d+e x^2}{a+b \sinh ^{-1}(c x)} \, dx\) [620]
3.7.21
\(\int \genfrac {}{}{}{}{1}{a+b \sinh ^{-1}(c x)} \, dx\) [621]
3.7.22
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) (a+b \sinh ^{-1}(c x))} \, dx\) [622]
3.7.23
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 (a+b \sinh ^{-1}(c x))} \, dx\) [623]
3.7.24
\(\int \genfrac {}{}{}{}{(d+e x^2)^2}{(a+b \sinh ^{-1}(c x))^2} \, dx\) [624]
3.7.25
\(\int \genfrac {}{}{}{}{d+e x^2}{(a+b \sinh ^{-1}(c x))^2} \, dx\) [625]
3.7.26
\(\int \genfrac {}{}{}{}{1}{(a+b \sinh ^{-1}(c x))^2} \, dx\) [626]
3.7.27
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) (a+b \sinh ^{-1}(c x))^2} \, dx\) [627]
3.7.28
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 (a+b \sinh ^{-1}(c x))^2} \, dx\) [628]
3.7.29
\(\int (d+e x^2)^2 \sqrt {a+b \sinh ^{-1}(c x)} \, dx\) [629]
3.7.30
\(\int (d+e x^2) \sqrt {a+b \sinh ^{-1}(c x)} \, dx\) [630]
3.7.31
\(\int \sqrt {a+b \sinh ^{-1}(c x)} \, dx\) [631]
3.7.32
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sinh ^{-1}(c x)}}{d+e x^2} \, dx\) [632]
3.7.33
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sinh ^{-1}(c x)}}{(d+e x^2)^2} \, dx\) [633]
3.7.34
\(\int (d+e x^2) (a+b \sinh ^{-1}(c x))^{3/2} \, dx\) [634]
3.7.35
\(\int (a+b \sinh ^{-1}(c x))^{3/2} \, dx\) [635]
3.7.36
\(\int \genfrac {}{}{}{}{(a+b \sinh ^{-1}(c x))^{3/2}}{d+e x^2} \, dx\) [636]
3.7.37
\(\int \genfrac {}{}{}{}{(a+b \sinh ^{-1}(c x))^{3/2}}{(d+e x^2)^2} \, dx\) [637]
3.7.38
\(\int \genfrac {}{}{}{}{(d+e x^2)^2}{\sqrt {a+b \sinh ^{-1}(c x)}} \, dx\) [638]
3.7.39
\(\int \genfrac {}{}{}{}{d+e x^2}{\sqrt {a+b \sinh ^{-1}(c x)}} \, dx\) [639]
3.7.40
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sinh ^{-1}(c x)}} \, dx\) [640]
3.7.41
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) \sqrt {a+b \sinh ^{-1}(c x)}} \, dx\) [641]
3.7.42
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 \sqrt {a+b \sinh ^{-1}(c x)}} \, dx\) [642]
3.7.43
\(\int \genfrac {}{}{}{}{d+e x^2}{(a+b \sinh ^{-1}(c x))^{3/2}} \, dx\) [643]
3.7.44
\(\int \genfrac {}{}{}{}{1}{(a+b \sinh ^{-1}(c x))^{3/2}} \, dx\) [644]
3.7.45
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) (a+b \sinh ^{-1}(c x))^{3/2}} \, dx\) [645]
3.7.46
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 (a+b \sinh ^{-1}(c x))^{3/2}} \, dx\) [646]
3.7.47
\(\int \sqrt {d+e x^2} (a+b \sinh ^{-1}(c x)) \, dx\) [647]
3.7.48
\(\int \genfrac {}{}{}{}{a+b \sinh ^{-1}(c x)}{\sqrt {d+e x^2}} \, dx\) [648]
3.7.49
\(\int \genfrac {}{}{}{}{a+b \sinh ^{-1}(c x)}{(d+e x^2)^{3/2}} \, dx\) [649]
3.7.50
\(\int \genfrac {}{}{}{}{a+b \sinh ^{-1}(c x)}{(d+e x^2)^{5/2}} \, dx\) [650]
3.7.51
\(\int \genfrac {}{}{}{}{a+b \sinh ^{-1}(c x)}{(d+e x^2)^{7/2}} \, dx\) [651]
3.7.52
\(\int \sqrt {d+e x^2} (a+b \sinh ^{-1}(c x))^2 \, dx\) [652]
3.7.53
\(\int \genfrac {}{}{}{}{(a+b \sinh ^{-1}(c x))^2}{\sqrt {d+e x^2}} \, dx\) [653]
3.7.54
\(\int \genfrac {}{}{}{}{(a+b \sinh ^{-1}(c x))^2}{(d+e x^2)^{3/2}} \, dx\) [654]
3.7.55
\(\int \genfrac {}{}{}{}{(a+b \sinh ^{-1}(c x))^2}{(d+e x^2)^{5/2}} \, dx\) [655]
3.7.56
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2}}{a+b \sinh ^{-1}(c x)} \, dx\) [656]
3.7.57
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x^2} (a+b \sinh ^{-1}(c x))} \, dx\) [657]
3.7.58
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{3/2} (a+b \sinh ^{-1}(c x))} \, dx\) [658]
3.7.59
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{5/2} (a+b \sinh ^{-1}(c x))} \, dx\) [659]
3.7.60
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2}}{(a+b \sinh ^{-1}(c x))^2} \, dx\) [660]
3.7.61
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x^2} (a+b \sinh ^{-1}(c x))^2} \, dx\) [661]
3.7.62
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{3/2} (a+b \sinh ^{-1}(c x))^2} \, dx\) [662]
3.7.63
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{5/2} (a+b \sinh ^{-1}(c x))^2} \, dx\) [663]
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