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3.7
Integrals 601 to 700
3.7.1
\(\int \genfrac {}{}{}{}{F^{f (a+b \log ^2(c (d+e x)^n))}}{(g+h x)^3} \, dx\) [601]
3.7.2
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (d g+e g x)^m \, dx\) [602]
3.7.3
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (d g+e g x)^2 \, dx\) [603]
3.7.4
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (d g+e g x) \, dx\) [604]
3.7.5
\(\int F^{f (a+b \log (c (d+e x)^n))^2} \, dx\) [605]
3.7.6
\(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{d g+e g x} \, dx\) [606]
3.7.7
\(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{(d g+e g x)^2} \, dx\) [607]
3.7.8
\(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{(d g+e g x)^3} \, dx\) [608]
3.7.9
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x)^m \, dx\) [609]
3.7.10
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x)^3 \, dx\) [610]
3.7.11
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x)^2 \, dx\) [611]
3.7.12
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x) \, dx\) [612]
3.7.13
\(\int F^{f (a+b \log (c (d+e x)^n))^2} \, dx\) [613]
3.7.14
\(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{g+h x} \, dx\) [614]
3.7.15
\(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{(g+h x)^2} \, dx\) [615]
3.7.16
\(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{(g+h x)^3} \, dx\) [616]
3.7.17
\(\int F^{a+b x+c x^3} (b+3 c x^2) \, dx\) [617]
3.7.18
\(\int \genfrac {}{}{}{}{F^{\genfrac {}{}{}{}{1}{a+b x+c x^2}} (b+2 c x)}{(a+b x+c x^2)^2} \, dx\) [618]
3.7.19
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^m \, dx\) [619]
3.7.20
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^3 \, dx\) [620]
3.7.21
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^2 \, dx\) [621]
3.7.22
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2) \, dx\) [622]
3.7.23
\(\int e^{a+b x+c x^2} (b+2 c x) \, dx\) [623]
3.7.24
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{a+b x+c x^2} \, dx\) [624]
3.7.25
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^2} \, dx\) [625]
3.7.26
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^3} \, dx\) [626]
3.7.27
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^{7/2} \, dx\) [627]
3.7.28
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^{5/2} \, dx\) [628]
3.7.29
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^{3/2} \, dx\) [629]
3.7.30
\(\int e^{a+b x+c x^2} (b+2 c x) \sqrt {a+b x+c x^2} \, dx\) [630]
3.7.31
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{\sqrt {a+b x+c x^2}} \, dx\) [631]
3.7.32
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{3/2}} \, dx\) [632]
3.7.33
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{5/2}} \, dx\) [633]
3.7.34
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{7/2}} \, dx\) [634]
3.7.35
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{9/2}} \, dx\) [635]
3.7.36
\(\int \genfrac {}{}{}{}{e^{-x}}{\sqrt {1-e^{-2 x}}} \, dx\) [636]
3.7.37
\(\int \genfrac {}{}{}{}{e^x}{4+e^{2 x}} \, dx\) [637]
3.7.38
\(\int \genfrac {}{}{}{}{e^x}{1-e^{2 x}} \, dx\) [638]
3.7.39
\(\int \genfrac {}{}{}{}{e^x}{3-4 e^{2 x}} \, dx\) [639]
3.7.40
\(\int e^x \sqrt {3-4 e^{2 x}} \, dx\) [640]
3.7.41
\(\int e^{x^2} x^3 \, dx\) [641]
3.7.42
\(\int e^x \sqrt {1-e^{2 x}} \, dx\) [642]
3.7.43
\(\int \genfrac {}{}{}{}{e^x}{\sqrt {1+e^x+e^{2 x}}} \, dx\) [643]
3.7.44
\(\int \genfrac {}{}{}{}{e^x}{-4+e^{2 x}} \, dx\) [644]
3.7.45
\(\int e^{2-x^2} x \, dx\) [645]
3.7.46
\(\int (e^x-x^e) \, dx\) [646]
3.7.47
\(\int \genfrac {}{}{}{}{-1+e^{2 x}}{3+e^{2 x}} \, dx\) [647]
3.7.48
\(\int \genfrac {}{}{}{}{e^x}{\sqrt {1-e^{2 x}}} \, dx\) [648]
3.7.49
\(\int \genfrac {}{}{}{}{e^{2 x}}{1+e^{4 x}} \, dx\) [649]
3.7.50
\(\int \genfrac {}{}{}{}{1}{-3 e^x+e^{2 x}} \, dx\) [650]
3.7.51
\(\int \genfrac {}{}{}{}{e^x (-2+e^x)}{1+e^x} \, dx\) [651]
3.7.52
\(\int \genfrac {}{}{}{}{e^x}{-1+e^{2 x}} \, dx\) [652]
3.7.53
\(\int \genfrac {}{}{}{}{e^x}{1+e^{2 x}} \, dx\) [653]
3.7.54
\(\int \genfrac {}{}{}{}{e^{-x}+e^x}{-e^{-x}+e^x} \, dx\) [654]
3.7.55
\(\int \genfrac {}{}{}{}{-e^{-x}+e^x}{e^{-x}+e^x} \, dx\) [655]
3.7.56
\(\int \genfrac {}{}{}{}{e^{-2 x}+e^{2 x}}{-e^{-2 x}+e^{2 x}} \, dx\) [656]
3.7.57
\(\int \genfrac {}{}{}{}{e^x}{\sqrt {1+e^{2 x}}} \, dx\) [657]
3.7.58
\(\int \genfrac {}{}{}{}{e^{\sqrt {4+x}}}{\sqrt {4+x}} \, dx\) [658]
3.7.59
\(\int \genfrac {}{}{}{}{x}{\sqrt {-1+e^{2 x^2}}} \, dx\) [659]
3.7.60
\(\int e^x \sqrt {9+e^{2 x}} \, dx\) [660]
3.7.61
\(\int e^x \sqrt {1+e^{2 x}} \, dx\) [661]
3.7.62
\(\int \genfrac {}{}{}{}{e^{x^2} x}{1+e^{2 x^2}} \, dx\) [662]
3.7.63
\(\int e^{x^{3/2}} x^2 \, dx\) [663]
3.7.64
\(\int \genfrac {}{}{}{}{e^x}{\sqrt {-3+e^{2 x}}} \, dx\) [664]
3.7.65
\(\int \genfrac {}{}{}{}{e^x}{16-e^{2 x}} \, dx\) [665]
3.7.66
\(\int \genfrac {}{}{}{}{e^{5 x}}{1+e^{10 x}} \, dx\) [666]
3.7.67
\(\int \genfrac {}{}{}{}{e^{4 x}}{\sqrt {16+e^{8 x}}} \, dx\) [667]
3.7.68
\(\int e^{4 x^3} x^2 \cos (7 x^3) \, dx\) [668]
3.7.69
\(\int e^{1+x^2} x \, dx\) [669]
3.7.70
\(\int e^{1+x^3} x^2 \, dx\) [670]
3.7.71
\(\int \genfrac {}{}{}{}{e^{\sqrt {x}}}{\sqrt {x}} \, dx\) [671]
3.7.72
\(\int \genfrac {}{}{}{}{e^{\sqrt [3]{x}}}{x^{2/3}} \, dx\) [672]
3.7.73
\(\int e^{3 x} (-8+2 x^3+x^5) \, dx\) [673]
3.7.74
\(\int (e^x+x)^2 \, dx\) [674]
3.7.75
\(\int e^{-4 x} (e^x+e^{2 x}+e^{3 x}) \, dx\) [675]
3.7.76
\(\int \genfrac {}{}{}{}{e^x}{1+2 e^x+e^{2 x}} \, dx\) [676]
3.7.77
\(\int e^{-x} \cos (3 x) \, dx\) [677]
3.7.78
\(\int \genfrac {}{}{}{}{e^{2 x}}{2+3 e^x+e^{2 x}} \, dx\) [678]
3.7.79
\(\int \genfrac {}{}{}{}{e^{2 x}}{1+e^x} \, dx\) [679]
3.7.80
\(\int e^{3 x} \cos (5 x) \, dx\) [680]
3.7.81
\(\int e^x \text {sech}(e^x) \, dx\) [681]
3.7.82
\(\int \genfrac {}{}{}{}{e^{-x}}{1+2 e^x} \, dx\) [682]
3.7.83
\(\int e^x \cos (4+3 x) \, dx\) [683]
3.7.84
\(\int e^x \sec ^3(1-e^x) \, dx\) [684]
3.7.85
\(\int (e^{-x}+e^x) x \, dx\) [685]
3.7.86
\(\int \genfrac {}{}{}{}{e^x}{2+3 e^x+e^{2 x}} \, dx\) [686]
3.7.87
\(\int \genfrac {}{}{}{}{e^{2 x}}{\sqrt [3]{1+e^x}} \, dx\) [687]
3.7.88
\(\int \genfrac {}{}{}{}{e^{2 x}}{\sqrt [4]{1+e^x}} \, dx\) [688]
3.7.89
\(\int \genfrac {}{}{}{}{-e^x+2 e^{2 x}}{\sqrt {-1-6 e^x+3 e^{2 x}}} \, dx\) [689]
3.7.90
\(\int e^x (-5 x+x^2) \, dx\) [690]
3.7.91
\(\int e^{3 x} (-x+x^2) \, dx\) [691]
3.7.92
\(\int e^{x^x} x^{2 x} (1+\log (x)) \, dx\) [692]
3.7.93
\(\int \genfrac {}{}{}{}{e^{5 x}+e^{7 x}}{e^{-x}+e^x} \, dx\) [693]
3.7.94
\(\int x^{-2-\genfrac {}{}{}{}{1}{x}} (1-\log (x)) \, dx\) [694]
3.7.95
\(\int (a+b e^x)^2 \, dx\) [695]
3.7.96
\(\int (a+b e^x)^3 \, dx\) [696]
3.7.97
\(\int (a+b e^x)^4 \, dx\) [697]
3.7.98
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b e^{c+d x}}} \, dx\) [698]
3.7.99
\(\int \genfrac {}{}{}{}{1}{\sqrt {-a+b e^{c+d x}}} \, dx\) [699]
3.7.100
\(\int \sqrt {a+b e^{c+d x}} \, dx\) [700]
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