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3.3
Integrals 201 to 300
3.3.1
\(\int \frac {x^2 (d^2-e^2 x^2)^{5/2}}{(d+e x)^4} \, dx\)
3.3.2
\(\int \frac {x (d^2-e^2 x^2)^{5/2}}{(d+e x)^4} \, dx\)
3.3.3
\(\int \frac {(d^2-e^2 x^2)^{5/2}}{(d+e x)^4} \, dx\)
3.3.4
\(\int \frac {(d^2-e^2 x^2)^{5/2}}{x (d+e x)^4} \, dx\)
3.3.5
\(\int \frac {(d^2-e^2 x^2)^{5/2}}{x^2 (d+e x)^4} \, dx\)
3.3.6
\(\int \frac {(d^2-e^2 x^2)^{5/2}}{x^3 (d+e x)^4} \, dx\)
3.3.7
\(\int \frac {(d^2-e^2 x^2)^{5/2}}{x^4 (d+e x)^4} \, dx\)
3.3.8
\(\int \frac {(d^2-e^2 x^2)^{5/2}}{x^5 (d+e x)^4} \, dx\)
3.3.9
\(\int \frac {(d^2-e^2 x^2)^{5/2}}{x^6 (d+e x)^4} \, dx\)
3.3.10
\(\int \frac {x^2 \sqrt {1-a^2 x^2}}{(1-a x)^4} \, dx\)
3.3.11
\(\int \frac {x^2 \sqrt {1-a^2 x^2}}{(1-a x)^5} \, dx\)
3.3.12
\(\int \frac {x^3}{(d+e x)^4 (d^2-e^2 x^2)^{7/2}} \, dx\)
3.3.13
\(\int \frac {x^2}{(d+e x)^4 (d^2-e^2 x^2)^{7/2}} \, dx\)
3.3.14
\(\int \frac {x}{(d+e x)^4 (d^2-e^2 x^2)^{7/2}} \, dx\)
3.3.15
\(\int \frac {1}{(d+e x)^4 (d^2-e^2 x^2)^{7/2}} \, dx\)
3.3.16
\(\int \frac {1}{x (d+e x)^4 (d^2-e^2 x^2)^{7/2}} \, dx\)
3.3.17
\(\int \frac {1}{x^2 (d+e x)^4 (d^2-e^2 x^2)^{7/2}} \, dx\)
3.3.18
\(\int \frac {\sqrt {c-a c x} \sqrt {1-a^2 x^2}}{x^2} \, dx\)
3.3.19
\(\int \frac {\sqrt {c-a c x}}{x \sqrt {1-a^2 x^2}} \, dx\)
3.3.20
\(\int \frac {\sqrt {1-a x}}{\sqrt {x}} \, dx\)
3.3.21
\(\int \frac {\sqrt {1-a^2 x^2}}{\sqrt {x} \sqrt {1+a x}} \, dx\)
3.3.22
\(\int \frac {\sqrt {1+a x}}{\sqrt {x}} \, dx\)
3.3.23
\(\int \frac {\sqrt {1-a^2 x^2}}{\sqrt {x} \sqrt {1-a x}} \, dx\)
3.3.24
\(\int \sqrt {x} \sqrt {1-a x} \, dx\)
3.3.25
\(\int \frac {\sqrt {x} \sqrt {1-a^2 x^2}}{\sqrt {1+a x}} \, dx\)
3.3.26
\(\int \frac {x \sqrt {1+x}}{1+x^2} \, dx\)
3.3.27
\(\int \frac {x^4 \sqrt {a+c x^2}}{d+e x} \, dx\)
3.3.28
\(\int \frac {x^3 \sqrt {a+c x^2}}{d+e x} \, dx\)
3.3.29
\(\int \frac {x^2 \sqrt {a+c x^2}}{d+e x} \, dx\)
3.3.30
\(\int \frac {x \sqrt {a+c x^2}}{d+e x} \, dx\)
3.3.31
\(\int \frac {\sqrt {a+c x^2}}{d+e x} \, dx\)
3.3.32
\(\int \frac {\sqrt {a+c x^2}}{x (d+e x)} \, dx\)
3.3.33
\(\int \frac {\sqrt {a+c x^2}}{x^2 (d+e x)} \, dx\)
3.3.34
\(\int \frac {\sqrt {a+c x^2}}{x^3 (d+e x)} \, dx\)
3.3.35
\(\int \frac {\sqrt {a+c x^2}}{x^4 (d+e x)} \, dx\)
3.3.36
\(\int \frac {\sqrt {a+c x^2}}{x^5 (d+e x)} \, dx\)
3.3.37
\(\int \frac {x^4}{(d+e x) \sqrt {a+c x^2}} \, dx\)
3.3.38
\(\int \frac {x^3}{(d+e x) \sqrt {a+c x^2}} \, dx\)
3.3.39
\(\int \frac {x^2}{(d+e x) \sqrt {a+c x^2}} \, dx\)
3.3.40
\(\int \frac {x}{(d+e x) \sqrt {a+c x^2}} \, dx\)
3.3.41
\(\int \frac {1}{(d+e x) \sqrt {a+c x^2}} \, dx\)
3.3.42
\(\int \frac {1}{x (d+e x) \sqrt {a+c x^2}} \, dx\)
3.3.43
\(\int \frac {1}{x^2 (d+e x) \sqrt {a+c x^2}} \, dx\)
3.3.44
\(\int \frac {1}{x^3 (d+e x) \sqrt {a+c x^2}} \, dx\)
3.3.45
\(\int \frac {x^4}{(d+e x) (a+c x^2)^{3/2}} \, dx\)
3.3.46
\(\int \frac {x^3}{(d+e x) (a+c x^2)^{3/2}} \, dx\)
3.3.47
\(\int \frac {x^2}{(d+e x) (a+c x^2)^{3/2}} \, dx\)
3.3.48
\(\int \frac {x}{(d+e x) (a+c x^2)^{3/2}} \, dx\)
3.3.49
\(\int \frac {1}{(d+e x) (a+c x^2)^{3/2}} \, dx\)
3.3.50
\(\int \frac {1}{x (d+e x) (a+c x^2)^{3/2}} \, dx\)
3.3.51
\(\int \frac {1}{x^2 (d+e x) (a+c x^2)^{3/2}} \, dx\)
3.3.52
\(\int \frac {1}{x^3 (d+e x) (a+c x^2)^{3/2}} \, dx\)
3.3.53
\(\int \frac {x^5}{(d+e x)^2 \sqrt {a+c x^2}} \, dx\)
3.3.54
\(\int \frac {x^4}{(d+e x)^2 \sqrt {a+c x^2}} \, dx\)
3.3.55
\(\int \frac {x^3}{(d+e x)^2 \sqrt {a+c x^2}} \, dx\)
3.3.56
\(\int \frac {x^2}{(d+e x)^2 \sqrt {a+c x^2}} \, dx\)
3.3.57
\(\int \frac {x}{(d+e x)^2 \sqrt {a+c x^2}} \, dx\)
3.3.58
\(\int \frac {1}{(d+e x)^2 \sqrt {a+c x^2}} \, dx\)
3.3.59
\(\int \frac {1}{x (d+e x)^2 \sqrt {a+c x^2}} \, dx\)
3.3.60
\(\int \frac {1}{x^2 (d+e x)^2 \sqrt {a+c x^2}} \, dx\)
3.3.61
\(\int \frac {1}{x^3 (d+e x)^2 \sqrt {a+c x^2}} \, dx\)
3.3.62
\(\int x^2 (a+b x)^n (c+d x^2) \, dx\)
3.3.63
\(\int x (a+b x)^n (c+d x^2) \, dx\)
3.3.64
\(\int (a+b x)^n (c+d x^2) \, dx\)
3.3.65
\(\int x^2 (a+b x)^n (c+d x^2)^2 \, dx\)
3.3.66
\(\int x (a+b x)^n (c+d x^2)^2 \, dx\)
3.3.67
\(\int (a+b x)^n (c+d x^2)^2 \, dx\)
3.3.68
\(\int x^2 (a+b x)^n (c+d x^2)^3 \, dx\)
3.3.69
\(\int x (a+b x)^n (c+d x^2)^3 \, dx\)
3.3.70
\(\int (a+b x)^n (c+d x^2)^3 \, dx\)
3.3.71
\(\int \frac {x^3 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{d+e x} \, dx\)
3.3.72
\(\int \frac {x^2 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{d+e x} \, dx\)
3.3.73
\(\int \frac {x \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{d+e x} \, dx\)
3.3.74
\(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{d+e x} \, dx\)
3.3.75
\(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{x (d+e x)} \, dx\)
3.3.76
\(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{x^2 (d+e x)} \, dx\)
3.3.77
\(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{x^3 (d+e x)} \, dx\)
3.3.78
\(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{x^4 (d+e x)} \, dx\)
3.3.79
\(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{x^5 (d+e x)} \, dx\)
3.3.80
\(\int \frac {x^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{d+e x} \, dx\)
3.3.81
\(\int \frac {x^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{d+e x} \, dx\)
3.3.82
\(\int \frac {x (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{d+e x} \, dx\)
3.3.83
\(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{d+e x} \, dx\)
3.3.84
\(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{x (d+e x)} \, dx\)
3.3.85
\(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{x^2 (d+e x)} \, dx\)
3.3.86
\(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{x^3 (d+e x)} \, dx\)
3.3.87
\(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{x^4 (d+e x)} \, dx\)
3.3.88
\(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{x^5 (d+e x)} \, dx\)
3.3.89
\(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{x^6 (d+e x)} \, dx\)
3.3.90
\(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{x^7 (d+e x)} \, dx\)
3.3.91
\(\int \frac {x^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{d+e x} \, dx\)
3.3.92
\(\int \frac {x^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{d+e x} \, dx\)
3.3.93
\(\int \frac {x (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{d+e x} \, dx\)
3.3.94
\(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{d+e x} \, dx\)
3.3.95
\(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{x (d+e x)} \, dx\)
3.3.96
\(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{x^2 (d+e x)} \, dx\)
3.3.97
\(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{x^3 (d+e x)} \, dx\)
3.3.98
\(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{x^4 (d+e x)} \, dx\)
3.3.99
\(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{x^5 (d+e x)} \, dx\)
3.3.100
\(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{x^6 (d+e x)} \, dx\)
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