[
next
] [
prev
] [
prev-tail
] [
tail
] [
up
]
3
Listing of integrals
3.1
\(\int \frac{d+e x^3}{a+c x^6} \, dx\)
3.2
\(\int \frac{d+e x^3}{a-c x^6} \, dx\)
3.3
\(\int \frac{d+e x^4}{a+c x^8} \, dx\)
3.4
\(\int \frac{d+e x^4}{a-c x^8} \, dx\)
3.5
\(\int \frac{d+e x^4}{d^2+b x^4+e^2 x^8} \, dx\)
3.6
\(\int \frac{d+e x^4}{d^2+f x^4+e^2 x^8} \, dx\)
3.7
\(\int \frac{d+e x^4}{d^2-b x^4+e^2 x^8} \, dx\)
3.8
\(\int \frac{d+e x^4}{d^2-f x^4+e^2 x^8} \, dx\)
3.9
\(\int \frac{1+x^4}{1+b x^4+x^8} \, dx\)
3.10
\(\int \frac{1+x^4}{1+3 x^4+x^8} \, dx\)
3.11
\(\int \frac{1+x^4}{1+2 x^4+x^8} \, dx\)
3.12
\(\int \frac{1+x^4}{1+x^4+x^8} \, dx\)
3.13
\(\int \frac{1+x^4}{1+x^8} \, dx\)
3.14
\(\int \frac{1+x^4}{1-x^4+x^8} \, dx\)
3.15
\(\int \frac{1+x^4}{1-2 x^4+x^8} \, dx\)
3.16
\(\int \frac{1+x^4}{1-3 x^4+x^8} \, dx\)
3.17
\(\int \frac{1+x^4}{1-4 x^4+x^8} \, dx\)
3.18
\(\int \frac{1+x^4}{1-5 x^4+x^8} \, dx\)
3.19
\(\int \frac{1+x^4}{1-6 x^4+x^8} \, dx\)
3.20
\(\int \frac{1-x^4}{1+b x^4+x^8} \, dx\)
3.21
\(\int \frac{1-x^4}{1+3 x^4+x^8} \, dx\)
3.22
\(\int \frac{1-x^4}{1+2 x^4+x^8} \, dx\)
3.23
\(\int \frac{1-x^4}{1+x^4+x^8} \, dx\)
3.24
\(\int \frac{1-x^4}{1+x^8} \, dx\)
3.25
\(\int \frac{1-x^4}{1-x^4+x^8} \, dx\)
3.26
\(\int \frac{1-x^4}{1-2 x^4+x^8} \, dx\)
3.27
\(\int \frac{1-x^4}{1-3 x^4+x^8} \, dx\)
3.28
\(\int \frac{1-x^4}{1-4 x^4+x^8} \, dx\)
3.29
\(\int \frac{1-x^4}{1-5 x^4+x^8} \, dx\)
3.30
\(\int \frac{1-x^4}{1-6 x^4+x^8} \, dx\)
3.31
\(\int \frac{-1+\sqrt{3}+2 x^4}{1-x^4+x^8} \, dx\)
3.32
\(\int \frac{1+\left (1+\sqrt{3}\right ) x^4}{1-x^4+x^8} \, dx\)
3.33
\(\int \frac{3-2 \sqrt{3}+\left (-3+\sqrt{3}\right ) x^4}{1-x^4+x^8} \, dx\)
3.34
\(\int \frac{d+\frac{e}{x}}{c+\frac{a}{x^2}} \, dx\)
3.35
\(\int \frac{d+\frac{e}{x}}{c+\frac{a}{x^2}+\frac{b}{x}} \, dx\)
3.36
\(\int \frac{d+\frac{e}{x^2}}{c+\frac{a}{x^4}} \, dx\)
3.37
\(\int \frac{d+\frac{e}{x^2}}{c+\frac{a}{x^4}+\frac{b}{x^2}} \, dx\)
3.38
\(\int \frac{d+\frac{e}{x^3}}{c+\frac{a}{x^6}} \, dx\)
3.39
\(\int \frac{d+\frac{e}{x^3}}{c+\frac{a}{x^6}+\frac{b}{x^3}} \, dx\)
3.40
\(\int \frac{d+\frac{e}{x^4}}{c+\frac{a}{x^8}} \, dx\)
3.41
\(\int \frac{d+\frac{e}{x^4}}{c+\frac{a}{x^8}+\frac{b}{x^4}} \, dx\)
3.42
\(\int \frac{\left (d+e x^n\right )^3}{a+c x^{2 n}} \, dx\)
3.43
\(\int \frac{\left (d+e x^n\right )^2}{a+c x^{2 n}} \, dx\)
3.44
\(\int \frac{d+e x^n}{a+c x^{2 n}} \, dx\)
3.45
\(\int \frac{1}{\left (d+e x^n\right ) \left (a+c x^{2 n}\right )} \, dx\)
3.46
\(\int \frac{1}{\left (d+e x^n\right )^2 \left (a+c x^{2 n}\right )} \, dx\)
3.47
\(\int \frac{d+e x^n}{a-c x^{2 n}} \, dx\)
3.48
\(\int \frac{\left (d+e x^n\right )^3}{\left (a+c x^{2 n}\right )^2} \, dx\)
3.49
\(\int \frac{\left (d+e x^n\right )^2}{\left (a+c x^{2 n}\right )^2} \, dx\)
3.50
\(\int \frac{d+e x^n}{\left (a+c x^{2 n}\right )^2} \, dx\)
3.51
\(\int \frac{1}{\left (d+e x^n\right ) \left (a+c x^{2 n}\right )^2} \, dx\)
3.52
\(\int \frac{1}{\left (d+e x^n\right )^2 \left (a+c x^{2 n}\right )^2} \, dx\)
3.53
\(\int \frac{\left (d+e x^n\right )^3}{\left (a+c x^{2 n}\right )^3} \, dx\)
3.54
\(\int \frac{\left (d+e x^n\right )^2}{\left (a+c x^{2 n}\right )^3} \, dx\)
3.55
\(\int \frac{d+e x^n}{\left (a+c x^{2 n}\right )^3} \, dx\)
3.56
\(\int \frac{1}{\left (d+e x^n\right ) \left (a+c x^{2 n}\right )^3} \, dx\)
3.57
\(\int \frac{1}{\left (d+e x^n\right )^2 \left (a+c x^{2 n}\right )^3} \, dx\)
3.58
\(\int \frac{1}{\left (d+e x^n\right ) \sqrt{a+c x^{2 n}}} \, dx\)
3.59
\(\int \left (d+e x^n\right )^q \left (a+c x^{2 n}\right )^p \, dx\)
3.60
\(\int \left (d+e x^n\right )^3 \left (a+c x^{2 n}\right )^p \, dx\)
3.61
\(\int \left (d+e x^n\right )^2 \left (a+c x^{2 n}\right )^p \, dx\)
3.62
\(\int \left (d+e x^n\right ) \left (a+c x^{2 n}\right )^p \, dx\)
3.63
\(\int \frac{\left (a+c x^{2 n}\right )^p}{d+e x^n} \, dx\)
3.64
\(\int \frac{\left (a+c x^{2 n}\right )^p}{\left (d+e x^n\right )^2} \, dx\)
3.65
\(\int \frac{\left (a+c x^{2 n}\right )^p}{\left (d+e x^n\right )^3} \, dx\)
3.66
\(\int \left (d+e x^n\right ) \left (a+b x^n+c x^{2 n}\right ) \, dx\)
3.67
\(\int \left (d+e x^n\right ) \left (a+b x^n+c x^{2 n}\right )^2 \, dx\)
3.68
\(\int \left (d+e x^n\right ) \left (a+b x^n+c x^{2 n}\right )^3 \, dx\)
3.69
\(\int \frac{\left (d+e x^n\right )^3}{a+b x^n+c x^{2 n}} \, dx\)
3.70
\(\int \frac{\left (d+e x^n\right )^2}{a+b x^n+c x^{2 n}} \, dx\)
3.71
\(\int \frac{d+e x^n}{a+b x^n+c x^{2 n}} \, dx\)
3.72
\(\int \frac{1}{\left (d+e x^n\right ) \left (a+b x^n+c x^{2 n}\right )} \, dx\)
3.73
\(\int \frac{1}{\left (d+e x^n\right )^2 \left (a+b x^n+c x^{2 n}\right )} \, dx\)
3.74
\(\int \frac{1}{\left (d+e x^n\right )^3 \left (a+b x^n+c x^{2 n}\right )} \, dx\)
3.75
\(\int \frac{\left (d+e x^n\right )^3}{\left (a+b x^n+c x^{2 n}\right )^2} \, dx\)
3.76
\(\int \frac{\left (d+e x^n\right )^2}{\left (a+b x^n+c x^{2 n}\right )^2} \, dx\)
3.77
\(\int \frac{d+e x^n}{\left (a+b x^n+c x^{2 n}\right )^2} \, dx\)
3.78
\(\int \frac{1}{\left (d+e x^n\right ) \left (a+b x^n+c x^{2 n}\right )^2} \, dx\)
3.79
\(\int \frac{1}{\left (d+e x^n\right )^2 \left (a+b x^n+c x^{2 n}\right )^2} \, dx\)
3.80
\(\int \frac{\left (d+e x^n\right )^3}{\left (a+b x^n+c x^{2 n}\right )^3} \, dx\)
3.81
\(\int \frac{\left (d+e x^n\right )^2}{\left (a+b x^n+c x^{2 n}\right )^3} \, dx\)
3.82
\(\int \frac{d+e x^n}{\left (a+b x^n+c x^{2 n}\right )^3} \, dx\)
3.83
\(\int \frac{1}{\left (d+e x^n\right ) \left (a+b x^n+c x^{2 n}\right )^3} \, dx\)
3.84
\(\int \frac{1}{\left (d+e x^n\right )^2 \left (a+b x^n+c x^{2 n}\right )^3} \, dx\)
3.85
\(\int \left (d+e x^n\right ) \sqrt{a+b x^n+c x^{2 n}} \, dx\)
3.86
\(\int \left (d+e x^n\right ) \left (a+b x^n+c x^{2 n}\right )^{3/2} \, dx\)
3.87
\(\int \frac{d+e x^n}{\sqrt{a+b x^n+c x^{2 n}}} \, dx\)
3.88
\(\int \frac{d+e x^n}{\left (a+b x^n+c x^{2 n}\right )^{3/2}} \, dx\)
3.89
\(\int \frac{d+e x^n}{\left (a+b x^n+c x^{2 n}\right )^{5/2}} \, dx\)
3.90
\(\int \left (d+e x^n\right )^q \left (a+b x^n+c x^{2 n}\right )^p \, dx\)
3.91
\(\int \left (d+e x^n\right )^3 \left (a+b x^n+c x^{2 n}\right )^p \, dx\)
3.92
\(\int \left (d+e x^n\right )^2 \left (a+b x^n+c x^{2 n}\right )^p \, dx\)
3.93
\(\int \left (d+e x^n\right ) \left (a+b x^n+c x^{2 n}\right )^p \, dx\)
3.94
\(\int \frac{\left (a+b x^n+c x^{2 n}\right )^p}{d+e x^n} \, dx\)
3.95
\(\int \frac{\left (a+b x^n+c x^{2 n}\right )^p}{\left (d+e x^n\right )^2} \, dx\)
3.96
\(\int \frac{\left (a+b x^n+c x^{2 n}\right )^p}{\left (d+e x^n\right )^3} \, dx\)
[
next
] [
prev
] [
prev-tail
] [
front
] [
up
]