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Chapter 3
Listing of integrals
3.1
\(\int \sec ^6(c+d x) (A+C \sec ^2(c+d x)) \, dx\)
3.2
\(\int \sec ^5(c+d x) (A+C \sec ^2(c+d x)) \, dx\)
3.3
\(\int \sec ^4(c+d x) (A+C \sec ^2(c+d x)) \, dx\)
3.4
\(\int \sec ^3(c+d x) (A+C \sec ^2(c+d x)) \, dx\)
3.5
\(\int \sec ^2(c+d x) (A+C \sec ^2(c+d x)) \, dx\)
3.6
\(\int \sec (c+d x) (A+C \sec ^2(c+d x)) \, dx\)
3.7
\(\int (A+C \sec ^2(c+d x)) \, dx\)
3.8
\(\int \cos (c+d x) (A+C \sec ^2(c+d x)) \, dx\)
3.9
\(\int \cos ^2(c+d x) (A+C \sec ^2(c+d x)) \, dx\)
3.10
\(\int \cos ^3(c+d x) (A+C \sec ^2(c+d x)) \, dx\)
3.11
\(\int \cos ^4(c+d x) (A+C \sec ^2(c+d x)) \, dx\)
3.12
\(\int \cos ^5(c+d x) (A+C \sec ^2(c+d x)) \, dx\)
3.13
\(\int \cos ^6(c+d x) (A+C \sec ^2(c+d x)) \, dx\)
3.14
\(\int \sec ^m(c+d x) (-\frac{C m}{1+m}+C \sec ^2(c+d x)) \, dx\)
3.15
\(\int \sec ^m(c+d x) (A-\frac{A (1+m) \sec ^2(c+d x)}{m}) \, dx\)
3.16
\(\int (b \sec (c+d x))^{5/2} (A+C \sec ^2(c+d x)) \, dx\)
3.17
\(\int (b \sec (c+d x))^{3/2} (A+C \sec ^2(c+d x)) \, dx\)
3.18
\(\int \sqrt{b \sec (c+d x)} (A+C \sec ^2(c+d x)) \, dx\)
3.19
\(\int \frac{A+C \sec ^2(c+d x)}{\sqrt{b \sec (c+d x)}} \, dx\)
3.20
\(\int \frac{A+C \sec ^2(c+d x)}{(b \sec (c+d x))^{3/2}} \, dx\)
3.21
\(\int \frac{A+C \sec ^2(c+d x)}{(b \sec (c+d x))^{5/2}} \, dx\)
3.22
\(\int \frac{A+C \sec ^2(c+d x)}{(b \sec (c+d x))^{7/2}} \, dx\)
3.23
\(\int \frac{A+C \sec ^2(c+d x)}{(b \sec (c+d x))^{9/2}} \, dx\)
3.24
\(\int \frac{3+3 \sec ^2(c+d x)}{\sqrt{\sec (c+d x)}} \, dx\)
3.25
\(\int \sec ^m(e+f x) (m-(1+m) \sec ^2(e+f x)) \, dx\)
3.26
\(\int \sec ^5(e+f x) (5-6 \sec ^2(e+f x)) \, dx\)
3.27
\(\int \sec ^4(e+f x) (4-5 \sec ^2(e+f x)) \, dx\)
3.28
\(\int \sec ^3(e+f x) (3-4 \sec ^2(e+f x)) \, dx\)
3.29
\(\int \sec ^2(e+f x) (2-3 \sec ^2(e+f x)) \, dx\)
3.30
\(\int \sec (e+f x) (1-2 \sec ^2(e+f x)) \, dx\)
3.31
\(\int -\sec ^2(e+f x) \, dx\)
3.32
\(\int -\cos (e+f x) \, dx\)
3.33
\(\int \cos ^2(e+f x) (-2+\sec ^2(e+f x)) \, dx\)
3.34
\(\int \cos ^3(e+f x) (-3+2 \sec ^2(e+f x)) \, dx\)
3.35
\(\int \cos ^4(e+f x) (-4+3 \sec ^2(e+f x)) \, dx\)
3.36
\(\int \cos ^5(e+f x) (-5+4 \sec ^2(e+f x)) \, dx\)
3.37
\(\int \sec ^3(c+d x) (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.38
\(\int \sec ^2(c+d x) (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.39
\(\int \sec (c+d x) (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.40
\(\int (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.41
\(\int \cos (c+d x) (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.42
\(\int \cos ^2(c+d x) (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.43
\(\int \cos ^3(c+d x) (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.44
\(\int \cos ^4(c+d x) (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.45
\(\int \cos ^5(c+d x) (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.46
\(\int \cos ^6(c+d x) (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.47
\(\int (b \sec (c+d x))^{3/2} (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.48
\(\int \sqrt{b \sec (c+d x)} (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.49
\(\int \frac{B \sec (c+d x)+C \sec ^2(c+d x)}{\sqrt{b \sec (c+d x)}} \, dx\)
3.50
\(\int \frac{B \sec (c+d x)+C \sec ^2(c+d x)}{(b \sec (c+d x))^{3/2}} \, dx\)
3.51
\(\int \frac{B \sec (c+d x)+C \sec ^2(c+d x)}{(b \sec (c+d x))^{5/2}} \, dx\)
3.52
\(\int \frac{B \sec (c+d x)+C \sec ^2(c+d x)}{(b \sec (c+d x))^{7/2}} \, dx\)
3.53
\(\int \frac{B \sec (c+d x)+C \sec ^2(c+d x)}{(b \sec (c+d x))^{9/2}} \, dx\)
3.54
\(\int \sec ^4(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.55
\(\int \sec ^3(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.56
\(\int \sec ^2(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.57
\(\int \sec (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.58
\(\int (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.59
\(\int \cos (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.60
\(\int \cos ^2(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.61
\(\int \cos ^3(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.62
\(\int \cos ^4(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.63
\(\int \cos ^5(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.64
\(\int \cos ^6(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.65
\(\int (b \sec (c+d x))^{3/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.66
\(\int \sqrt{b \sec (c+d x)} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\)
3.67
\(\int \frac{A+B \sec (c+d x)+C \sec ^2(c+d x)}{\sqrt{b \sec (c+d x)}} \, dx\)
3.68
\(\int \frac{A+B \sec (c+d x)+C \sec ^2(c+d x)}{(b \sec (c+d x))^{3/2}} \, dx\)
3.69
\(\int \frac{A+B \sec (c+d x)+C \sec ^2(c+d x)}{(b \sec (c+d x))^{5/2}} \, dx\)
3.70
\(\int \frac{A+B \sec (c+d x)+C \sec ^2(c+d x)}{(b \sec (c+d x))^{7/2}} \, dx\)
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