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3.5
Integrals 401 to 500
3.5.1
\(\int e^{\genfrac {}{}{}{}{e}{c+d x}} (a+b x)^4 \, dx\) [401]
3.5.2
\(\int e^{\genfrac {}{}{}{}{e}{c+d x}} (a+b x)^3 \, dx\) [402]
3.5.3
\(\int e^{\genfrac {}{}{}{}{e}{c+d x}} (a+b x)^2 \, dx\) [403]
3.5.4
\(\int e^{\genfrac {}{}{}{}{e}{c+d x}} (a+b x) \, dx\) [404]
3.5.5
\(\int e^{\genfrac {}{}{}{}{e}{c+d x}} \, dx\) [405]
3.5.6
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e}{c+d x}}}{a+b x} \, dx\) [406]
3.5.7
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e}{c+d x}}}{(a+b x)^2} \, dx\) [407]
3.5.8
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e}{c+d x}}}{(a+b x)^3} \, dx\) [408]
3.5.9
\(\int e^{\genfrac {}{}{}{}{e}{(c+d x)^2}} (a+b x)^3 \, dx\) [409]
3.5.10
\(\int e^{\genfrac {}{}{}{}{e}{(c+d x)^2}} (a+b x)^2 \, dx\) [410]
3.5.11
\(\int e^{\genfrac {}{}{}{}{e}{(c+d x)^2}} (a+b x) \, dx\) [411]
3.5.12
\(\int e^{\genfrac {}{}{}{}{e}{(c+d x)^2}} \, dx\) [412]
3.5.13
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e}{(c+d x)^2}}}{a+b x} \, dx\) [413]
3.5.14
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e}{(c+d x)^2}}}{(a+b x)^2} \, dx\) [414]
3.5.15
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e}{(c+d x)^2}}}{(a+b x)^3} \, dx\) [415]
3.5.16
\(\int e^{\genfrac {}{}{}{}{e}{(c+d x)^3}} (a+b x)^3 \, dx\) [416]
3.5.17
\(\int e^{\genfrac {}{}{}{}{e}{(c+d x)^3}} (a+b x)^2 \, dx\) [417]
3.5.18
\(\int e^{\genfrac {}{}{}{}{e}{(c+d x)^3}} (a+b x) \, dx\) [418]
3.5.19
\(\int e^{\genfrac {}{}{}{}{e}{(c+d x)^3}} \, dx\) [419]
3.5.20
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e}{(c+d x)^3}}}{a+b x} \, dx\) [420]
3.5.21
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e}{(c+d x)^3}}}{(a+b x)^2} \, dx\) [421]
3.5.22
\(\int \genfrac {}{}{}{}{F^{e+\genfrac {}{}{}{}{f (a+b x)}{c+d x}}}{g+h x} \, dx\) [422]
3.5.23
\(\int \genfrac {}{}{}{}{F^{e+\genfrac {}{}{}{}{f (a+b x)}{c+d x}}}{(g+h x)^2} \, dx\) [423]
3.5.24
\(\int \genfrac {}{}{}{}{F^{e+\genfrac {}{}{}{}{f (a+b x)}{c+d x}}}{(g+h x)^3} \, dx\) [424]
3.5.25
\(\int \genfrac {}{}{}{}{F^{e+\genfrac {}{}{}{}{f (a+b x)}{c+d x}}}{(g+h x)^4} \, dx\) [425]
3.5.26
\(\int f^{a+b x+c x^2} x^3 \, dx\) [426]
3.5.27
\(\int f^{a+b x+c x^2} x^2 \, dx\) [427]
3.5.28
\(\int f^{a+b x+c x^2} x \, dx\) [428]
3.5.29
\(\int f^{a+b x+c x^2} \, dx\) [429]
3.5.30
\(\int \genfrac {}{}{}{}{f^{a+b x+c x^2}}{x} \, dx\) [430]
3.5.31
\(\int \genfrac {}{}{}{}{f^{a+b x+c x^2}}{x^2} \, dx\) [431]
3.5.32
\(\int e^{a+b x-c x^2} x^3 \, dx\) [432]
3.5.33
\(\int e^{a+b x-c x^2} x^2 \, dx\) [433]
3.5.34
\(\int e^{a+b x-c x^2} x \, dx\) [434]
3.5.35
\(\int e^{a+b x-c x^2} \, dx\) [435]
3.5.36
\(\int \genfrac {}{}{}{}{e^{a+b x-c x^2}}{x} \, dx\) [436]
3.5.37
\(\int \genfrac {}{}{}{}{e^{a+b x-c x^2}}{x^2} \, dx\) [437]
3.5.38
\(\int e^{(a+b x) (c+d x)} x^3 \, dx\) [438]
3.5.39
\(\int e^{(a+b x) (c+d x)} x^2 \, dx\) [439]
3.5.40
\(\int e^{(a+b x) (c+d x)} x \, dx\) [440]
3.5.41
\(\int e^{(a+b x) (c+d x)} \, dx\) [441]
3.5.42
\(\int \genfrac {}{}{}{}{e^{(a+b x) (c+d x)}}{x} \, dx\) [442]
3.5.43
\(\int \genfrac {}{}{}{}{e^{(a+b x) (c+d x)}}{x^2} \, dx\) [443]
3.5.44
\(\int f^{a+b x+c x^2} (d+e x)^3 \, dx\) [444]
3.5.45
\(\int f^{a+b x+c x^2} (d+e x)^2 \, dx\) [445]
3.5.46
\(\int f^{a+b x+c x^2} (d+e x) \, dx\) [446]
3.5.47
\(\int \genfrac {}{}{}{}{f^{a+b x+c x^2}}{d+e x} \, dx\) [447]
3.5.48
\(\int \genfrac {}{}{}{}{f^{a+b x+c x^2}}{(d+e x)^2} \, dx\) [448]
3.5.49
\(\int \genfrac {}{}{}{}{f^{a+b x+c x^2}}{(d+e x)^3} \, dx\) [449]
3.5.50
\(\int f^{a+b x+c x^2} (b+2 c x)^3 \, dx\) [450]
3.5.51
\(\int f^{a+b x+c x^2} (b+2 c x)^2 \, dx\) [451]
3.5.52
\(\int f^{a+b x+c x^2} (b+2 c x) \, dx\) [452]
3.5.53
\(\int \genfrac {}{}{}{}{f^{a+b x+c x^2}}{b+2 c x} \, dx\) [453]
3.5.54
\(\int \genfrac {}{}{}{}{f^{a+b x+c x^2}}{(b+2 c x)^2} \, dx\) [454]
3.5.55
\(\int \genfrac {}{}{}{}{f^{a+b x+c x^2}}{(b+2 c x)^3} \, dx\) [455]
3.5.56
\(\int f^{b x+c x^2} (b+2 c x)^3 \, dx\) [456]
3.5.57
\(\int f^{b x+c x^2} (b+2 c x)^2 \, dx\) [457]
3.5.58
\(\int f^{b x+c x^2} (b+2 c x) \, dx\) [458]
3.5.59
\(\int \genfrac {}{}{}{}{f^{b x+c x^2}}{b+2 c x} \, dx\) [459]
3.5.60
\(\int \genfrac {}{}{}{}{f^{b x+c x^2}}{(b+2 c x)^2} \, dx\) [460]
3.5.61
\(\int \genfrac {}{}{}{}{f^{b x+c x^2}}{(b+2 c x)^3} \, dx\) [461]
3.5.62
\(\int \genfrac {}{}{}{}{e^{a+b x}}{x^2 (c+d x^2)} \, dx\) [462]
3.5.63
\(\int \genfrac {}{}{}{}{e^{a+b x}}{x (c+d x^2)} \, dx\) [463]
3.5.64
\(\int \genfrac {}{}{}{}{e^{a+b x}}{c+d x^2} \, dx\) [464]
3.5.65
\(\int \genfrac {}{}{}{}{e^{a+b x} x}{c+d x^2} \, dx\) [465]
3.5.66
\(\int \genfrac {}{}{}{}{e^{a+b x} x^2}{c+d x^2} \, dx\) [466]
3.5.67
\(\int \genfrac {}{}{}{}{e^{d+e x}}{x^2 (a+b x+c x^2)} \, dx\) [467]
3.5.68
\(\int \genfrac {}{}{}{}{e^{d+e x}}{x (a+b x+c x^2)} \, dx\) [468]
3.5.69
\(\int \genfrac {}{}{}{}{e^{d+e x}}{a+b x+c x^2} \, dx\) [469]
3.5.70
\(\int \genfrac {}{}{}{}{e^{d+e x} x}{a+b x+c x^2} \, dx\) [470]
3.5.71
\(\int \genfrac {}{}{}{}{e^{d+e x} x^2}{a+b x+c x^2} \, dx\) [471]
3.5.72
\(\int \genfrac {}{}{}{}{e^{d+e x} x^3}{a+b x+c x^2} \, dx\) [472]
3.5.73
\(\int \genfrac {}{}{}{}{4^x}{a+2^x b} \, dx\) [473]
3.5.74
\(\int \genfrac {}{}{}{}{2^{2 x}}{a+2^x b} \, dx\) [474]
3.5.75
\(\int \genfrac {}{}{}{}{4^x}{a-2^x b} \, dx\) [475]
3.5.76
\(\int \genfrac {}{}{}{}{2^{2 x}}{a-2^x b} \, dx\) [476]
3.5.77
\(\int \genfrac {}{}{}{}{4^x}{a+2^{-x} b} \, dx\) [477]
3.5.78
\(\int \genfrac {}{}{}{}{2^{2 x}}{a+2^{-x} b} \, dx\) [478]
3.5.79
\(\int \genfrac {}{}{}{}{4^x}{a-2^{-x} b} \, dx\) [479]
3.5.80
\(\int \genfrac {}{}{}{}{2^{2 x}}{a-2^{-x} b} \, dx\) [480]
3.5.81
\(\int \genfrac {}{}{}{}{2^x}{a+4^x b} \, dx\) [481]
3.5.82
\(\int \genfrac {}{}{}{}{2^x}{a+2^{2 x} b} \, dx\) [482]
3.5.83
\(\int \genfrac {}{}{}{}{2^x}{a-4^x b} \, dx\) [483]
3.5.84
\(\int \genfrac {}{}{}{}{2^x}{a-2^{2 x} b} \, dx\) [484]
3.5.85
\(\int \genfrac {}{}{}{}{2^x}{a+4^{-x} b} \, dx\) [485]
3.5.86
\(\int \genfrac {}{}{}{}{2^x}{a+2^{-2 x} b} \, dx\) [486]
3.5.87
\(\int \genfrac {}{}{}{}{2^x}{a-4^{-x} b} \, dx\) [487]
3.5.88
\(\int \genfrac {}{}{}{}{2^x}{a-2^{-2 x} b} \, dx\) [488]
3.5.89
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a+4^x b}} \, dx\) [489]
3.5.90
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a+2^{2 x} b}} \, dx\) [490]
3.5.91
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a-4^x b}} \, dx\) [491]
3.5.92
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a-2^{2 x} b}} \, dx\) [492]
3.5.93
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a+4^{-x} b}} \, dx\) [493]
3.5.94
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a+2^{-2 x} b}} \, dx\) [494]
3.5.95
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a-4^{-x} b}} \, dx\) [495]
3.5.96
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a-2^{-2 x} b}} \, dx\) [496]
3.5.97
\(\int \genfrac {}{}{}{}{4^x}{\sqrt {a+2^x b}} \, dx\) [497]
3.5.98
\(\int \genfrac {}{}{}{}{2^{2 x}}{\sqrt {a+2^x b}} \, dx\) [498]
3.5.99
\(\int \genfrac {}{}{}{}{4^x}{\sqrt {a-2^x b}} \, dx\) [499]
3.5.100
\(\int \genfrac {}{}{}{}{2^{2 x}}{\sqrt {a-2^x b}} \, dx\) [500]
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