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3.3
Integrals 201 to 300
3.3.1
\(\int \genfrac {}{}{}{}{\sqrt [4]{a+b x^4}}{c+d x^4} \, dx\) [201]
3.3.2
\(\int \genfrac {}{}{}{}{1}{(a+b x^4)^{3/4} (c+d x^4)} \, dx\) [202]
3.3.3
\(\int \genfrac {}{}{}{}{1}{(a+b x^4)^{7/4} (c+d x^4)} \, dx\) [203]
3.3.4
\(\int \genfrac {}{}{}{}{1}{(a+b x^4)^{11/4} (c+d x^4)} \, dx\) [204]
3.3.5
\(\int \genfrac {}{}{}{}{(a+b x^4)^{11/4}}{(c+d x^4)^2} \, dx\) [205]
3.3.6
\(\int \genfrac {}{}{}{}{(a+b x^4)^{7/4}}{(c+d x^4)^2} \, dx\) [206]
3.3.7
\(\int \genfrac {}{}{}{}{(a+b x^4)^{3/4}}{(c+d x^4)^2} \, dx\) [207]
3.3.8
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+b x^4} (c+d x^4)^2} \, dx\) [208]
3.3.9
\(\int \genfrac {}{}{}{}{1}{(a+b x^4)^{5/4} (c+d x^4)^2} \, dx\) [209]
3.3.10
\(\int \genfrac {}{}{}{}{1}{(a+b x^4)^{9/4} (c+d x^4)^2} \, dx\) [210]
3.3.11
\(\int \genfrac {}{}{}{}{(a+b x^4)^{9/4}}{(c+d x^4)^2} \, dx\) [211]
3.3.12
\(\int \genfrac {}{}{}{}{(a+b x^4)^{5/4}}{(c+d x^4)^2} \, dx\) [212]
3.3.13
\(\int \genfrac {}{}{}{}{\sqrt [4]{a+b x^4}}{(c+d x^4)^2} \, dx\) [213]
3.3.14
\(\int \genfrac {}{}{}{}{1}{(a+b x^4)^{3/4} (c+d x^4)^2} \, dx\) [214]
3.3.15
\(\int \genfrac {}{}{}{}{1}{(a+b x^4)^{7/4} (c+d x^4)^2} \, dx\) [215]
3.3.16
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{1+x^4} (2+x^4)} \, dx\) [216]
3.3.17
\(\int \genfrac {}{}{}{}{1}{(a-(a-b) x^4) \sqrt [4]{a+b x^4}} \, dx\) [217]
3.3.18
\(\int (a+b x^4)^p (c+d x^4)^q \, dx\) [218]
3.3.19
\(\int (a+b x^4)^2 (c+d x^4)^q \, dx\) [219]
3.3.20
\(\int (a+b x^4) (c+d x^4)^q \, dx\) [220]
3.3.21
\(\int \genfrac {}{}{}{}{(c+d x^4)^q}{a+b x^4} \, dx\) [221]
3.3.22
\(\int \genfrac {}{}{}{}{(c+d x^4)^q}{(a+b x^4)^2} \, dx\) [222]
3.3.23
\(\int \genfrac {}{}{}{}{1}{\sqrt [5]{a+b x^5} (c+d x^5)} \, dx\) [223]
3.3.24
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x}} (c+\genfrac {}{}{}{}{d}{x})^3 \, dx\) [224]
3.3.25
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x}} (c+\genfrac {}{}{}{}{d}{x})^2 \, dx\) [225]
3.3.26
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x}} (c+\genfrac {}{}{}{}{d}{x}) \, dx\) [226]
3.3.27
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x}} \, dx\) [227]
3.3.28
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x}}}{c+\genfrac {}{}{}{}{d}{x}} \, dx\) [228]
3.3.29
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x}}}{(c+\genfrac {}{}{}{}{d}{x})^2} \, dx\) [229]
3.3.30
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x}}}{(c+\genfrac {}{}{}{}{d}{x})^3} \, dx\) [230]
3.3.31
\(\int (a+\genfrac {}{}{}{}{b}{x})^{3/2} (c+\genfrac {}{}{}{}{d}{x})^3 \, dx\) [231]
3.3.32
\(\int (a+\genfrac {}{}{}{}{b}{x})^{3/2} (c+\genfrac {}{}{}{}{d}{x})^2 \, dx\) [232]
3.3.33
\(\int (a+\genfrac {}{}{}{}{b}{x})^{3/2} (c+\genfrac {}{}{}{}{d}{x}) \, dx\) [233]
3.3.34
\(\int (a+\genfrac {}{}{}{}{b}{x})^{3/2} \, dx\) [234]
3.3.35
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^{3/2}}{c+\genfrac {}{}{}{}{d}{x}} \, dx\) [235]
3.3.36
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^{3/2}}{(c+\genfrac {}{}{}{}{d}{x})^2} \, dx\) [236]
3.3.37
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^{3/2}}{(c+\genfrac {}{}{}{}{d}{x})^3} \, dx\) [237]
3.3.38
\(\int (a+\genfrac {}{}{}{}{b}{x})^{5/2} (c+\genfrac {}{}{}{}{d}{x})^3 \, dx\) [238]
3.3.39
\(\int (a+\genfrac {}{}{}{}{b}{x})^{5/2} (c+\genfrac {}{}{}{}{d}{x})^2 \, dx\) [239]
3.3.40
\(\int (a+\genfrac {}{}{}{}{b}{x})^{5/2} (c+\genfrac {}{}{}{}{d}{x}) \, dx\) [240]
3.3.41
\(\int (a+\genfrac {}{}{}{}{b}{x})^{5/2} \, dx\) [241]
3.3.42
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^{5/2}}{c+\genfrac {}{}{}{}{d}{x}} \, dx\) [242]
3.3.43
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^{5/2}}{(c+\genfrac {}{}{}{}{d}{x})^2} \, dx\) [243]
3.3.44
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^{5/2}}{(c+\genfrac {}{}{}{}{d}{x})^3} \, dx\) [244]
3.3.45
\(\int \genfrac {}{}{}{}{(c+\genfrac {}{}{}{}{d}{x})^3}{\sqrt {a+\genfrac {}{}{}{}{b}{x}}} \, dx\) [245]
3.3.46
\(\int \genfrac {}{}{}{}{(c+\genfrac {}{}{}{}{d}{x})^2}{\sqrt {a+\genfrac {}{}{}{}{b}{x}}} \, dx\) [246]
3.3.47
\(\int \genfrac {}{}{}{}{c+\genfrac {}{}{}{}{d}{x}}{\sqrt {a+\genfrac {}{}{}{}{b}{x}}} \, dx\) [247]
3.3.48
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x}}} \, dx\) [248]
3.3.49
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x}} (c+\genfrac {}{}{}{}{d}{x})} \, dx\) [249]
3.3.50
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x}} (c+\genfrac {}{}{}{}{d}{x})^2} \, dx\) [250]
3.3.51
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x}} (c+\genfrac {}{}{}{}{d}{x})^3} \, dx\) [251]
3.3.52
\(\int \genfrac {}{}{}{}{(c+\genfrac {}{}{}{}{d}{x})^3}{(a+\genfrac {}{}{}{}{b}{x})^{3/2}} \, dx\) [252]
3.3.53
\(\int \genfrac {}{}{}{}{(c+\genfrac {}{}{}{}{d}{x})^2}{(a+\genfrac {}{}{}{}{b}{x})^{3/2}} \, dx\) [253]
3.3.54
\(\int \genfrac {}{}{}{}{c+\genfrac {}{}{}{}{d}{x}}{(a+\genfrac {}{}{}{}{b}{x})^{3/2}} \, dx\) [254]
3.3.55
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^{3/2}} \, dx\) [255]
3.3.56
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^{3/2} (c+\genfrac {}{}{}{}{d}{x})} \, dx\) [256]
3.3.57
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^{3/2} (c+\genfrac {}{}{}{}{d}{x})^2} \, dx\) [257]
3.3.58
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^{3/2} (c+\genfrac {}{}{}{}{d}{x})^3} \, dx\) [258]
3.3.59
\(\int \genfrac {}{}{}{}{(c+\genfrac {}{}{}{}{d}{x})^3}{(a+\genfrac {}{}{}{}{b}{x})^{5/2}} \, dx\) [259]
3.3.60
\(\int \genfrac {}{}{}{}{(c+\genfrac {}{}{}{}{d}{x})^2}{(a+\genfrac {}{}{}{}{b}{x})^{5/2}} \, dx\) [260]
3.3.61
\(\int \genfrac {}{}{}{}{c+\genfrac {}{}{}{}{d}{x}}{(a+\genfrac {}{}{}{}{b}{x})^{5/2}} \, dx\) [261]
3.3.62
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^{5/2}} \, dx\) [262]
3.3.63
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^{5/2} (c+\genfrac {}{}{}{}{d}{x})} \, dx\) [263]
3.3.64
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^{5/2} (c+\genfrac {}{}{}{}{d}{x})^2} \, dx\) [264]
3.3.65
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^{5/2} (c+\genfrac {}{}{}{}{d}{x})^3} \, dx\) [265]
3.3.66
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x}} \sqrt {c+\genfrac {}{}{}{}{d}{x}} \, dx\) [266]
3.3.67
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x}}}{\sqrt {c+\genfrac {}{}{}{}{d}{x}}} \, dx\) [267]
3.3.68
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x}}}{(c+\genfrac {}{}{}{}{d}{x})^{3/2}} \, dx\) [268]
3.3.69
\(\int (a+\genfrac {}{}{}{}{b}{x})^p (c+\genfrac {}{}{}{}{d}{x})^q \, dx\) [269]
3.3.70
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{c+\genfrac {}{}{}{}{d}{x^2}} \, dx\) [270]
3.3.71
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^2}} \sqrt {c+\genfrac {}{}{}{}{d}{x^2}} \, dx\) [271]
3.3.72
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}}}{\sqrt {c+\genfrac {}{}{}{}{d}{x^2}}} \, dx\) [272]
3.3.73
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}}}{(c+\genfrac {}{}{}{}{d}{x^2})^{3/2}} \, dx\) [273]
3.3.74
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q \, dx\) [274]
3.3.75
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^3}}{c+\genfrac {}{}{}{}{d}{x^3}} \, dx\) [275]
3.3.76
\(\int \genfrac {}{}{}{}{a+b \sqrt {x}}{c+d \sqrt {x}} \, dx\) [276]
3.3.77
\(\int \genfrac {}{}{}{}{-1+\sqrt [3]{x}}{1+\sqrt [3]{x}} \, dx\) [277]
3.3.78
\(\int \genfrac {}{}{}{}{1+x^{2/3}}{-1+x^{2/3}} \, dx\) [278]
3.3.79
\(\int \genfrac {}{}{}{}{-16+x^{3/4}}{16+x^{3/4}} \, dx\) [279]
3.3.80
\(\int \genfrac {}{}{}{}{1+\genfrac {}{}{}{}{1}{\sqrt [3]{x}}}{-1+\genfrac {}{}{}{}{1}{\sqrt [3]{x}}} \, dx\) [280]
3.3.81
\(\int (a-b x^n)^{3/2} (a+b x^n)^{3/2} \, dx\) [281]
3.3.82
\(\int \sqrt {a-b x^n} \sqrt {a+b x^n} \, dx\) [282]
3.3.83
\(\int (a-b x^n)^p (a+b x^n)^p \, dx\) [283]
3.3.84
\(\int (a+b x^n) (c+d x^n)^4 \, dx\) [284]
3.3.85
\(\int (a+b x^n) (c+d x^n)^3 \, dx\) [285]
3.3.86
\(\int (a+b x^n) (c+d x^n)^2 \, dx\) [286]
3.3.87
\(\int (a+b x^n) (c+d x^n) \, dx\) [287]
3.3.88
\(\int \genfrac {}{}{}{}{a+b x^n}{c+d x^n} \, dx\) [288]
3.3.89
\(\int \genfrac {}{}{}{}{a+b x^n}{(c+d x^n)^2} \, dx\) [289]
3.3.90
\(\int \genfrac {}{}{}{}{a+b x^n}{(c+d x^n)^3} \, dx\) [290]
3.3.91
\(\int \genfrac {}{}{}{}{a+b x^n}{(c+d x^n)^4} \, dx\) [291]
3.3.92
\(\int (a+b x^n)^2 (d+e x^n)^3 \, dx\) [292]
3.3.93
\(\int (a+b x^n)^2 (d+e x^n)^2 \, dx\) [293]
3.3.94
\(\int (a+b x^n)^2 (c+d x^n) \, dx\) [294]
3.3.95
\(\int \genfrac {}{}{}{}{(a+b x^n)^2}{c+d x^n} \, dx\) [295]
3.3.96
\(\int \genfrac {}{}{}{}{(a+b x^n)^2}{(c+d x^n)^2} \, dx\) [296]
3.3.97
\(\int \genfrac {}{}{}{}{(a+b x^n)^2}{(c+d x^n)^3} \, dx\) [297]
3.3.98
\(\int \genfrac {}{}{}{}{(c+d x^n)^4}{a+b x^n} \, dx\) [298]
3.3.99
\(\int \genfrac {}{}{}{}{(c+d x^n)^3}{a+b x^n} \, dx\) [299]
3.3.100
\(\int \genfrac {}{}{}{}{(c+d x^n)^2}{a+b x^n} \, dx\) [300]
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