3.1 \(\int (f+g x)^3 \sqrt {d-c^2 d x^2} (a+b \cos ^{-1}(c x)) \, dx\)
 3.2 \(\int (f+g x)^2 \sqrt {d-c^2 d x^2} (a+b \cos ^{-1}(c x)) \, dx\)
 3.3 \(\int (f+g x) \sqrt {d-c^2 d x^2} (a+b \cos ^{-1}(c x)) \, dx\)
 3.4 \(\int \frac {\sqrt {d-c^2 d x^2} (a+b \cos ^{-1}(c x))}{f+g x} \, dx\)
 3.5 \(\int \frac {\sqrt {d-c^2 d x^2} (a+b \cos ^{-1}(c x))}{(f+g x)^2} \, dx\)
 3.6 \(\int (f+g x)^3 (d-c^2 d x^2)^{3/2} (a+b \cos ^{-1}(c x)) \, dx\)
 3.7 \(\int (f+g x)^2 (d-c^2 d x^2)^{3/2} (a+b \cos ^{-1}(c x)) \, dx\)
 3.8 \(\int (f+g x) (d-c^2 d x^2)^{3/2} (a+b \cos ^{-1}(c x)) \, dx\)
 3.9 \(\int \frac {(d-c^2 d x^2)^{3/2} (a+b \cos ^{-1}(c x))}{f+g x} \, dx\)
 3.10 \(\int (f+g x)^3 (d-c^2 d x^2)^{5/2} (a+b \cos ^{-1}(c x)) \, dx\)
 3.11 \(\int (f+g x)^2 (d-c^2 d x^2)^{5/2} (a+b \cos ^{-1}(c x)) \, dx\)
 3.12 \(\int (f+g x) (d-c^2 d x^2)^{5/2} (a+b \cos ^{-1}(c x)) \, dx\)
 3.13 \(\int \frac {(d-c^2 d x^2)^{5/2} (a+b \cos ^{-1}(c x))}{f+g x} \, dx\)
 3.14 \(\int \frac {(f+g x)^3 (a+b \cos ^{-1}(c x))}{\sqrt {d-c^2 d x^2}} \, dx\)
 3.15 \(\int \frac {(f+g x)^2 (a+b \cos ^{-1}(c x))}{\sqrt {d-c^2 d x^2}} \, dx\)
 3.16 \(\int \frac {(f+g x) (a+b \cos ^{-1}(c x))}{\sqrt {d-c^2 d x^2}} \, dx\)
 3.17 \(\int \frac {a+b \cos ^{-1}(c x)}{(f+g x) \sqrt {d-c^2 d x^2}} \, dx\)
 3.18 \(\int \frac {a+b \cos ^{-1}(c x)}{(f+g x)^2 \sqrt {d-c^2 d x^2}} \, dx\)
 3.19 \(\int \frac {(a+b \cos ^{-1}(c x))^n \log (h (f+g x)^m)}{\sqrt {1-c^2 x^2}} \, dx\)
 3.20 \(\int \frac {(a+b \cos ^{-1}(c x))^2 \log (h (f+g x)^m)}{\sqrt {1-c^2 x^2}} \, dx\)
 3.21 \(\int \frac {(a+b \cos ^{-1}(c x)) \log (h (f+g x)^m)}{\sqrt {1-c^2 x^2}} \, dx\)
 3.22 \(\int \frac {\log (h (f+g x)^m)}{\sqrt {1-c^2 x^2}} \, dx\)
 3.23 \(\int \frac {\log (h (f+g x)^m)}{\sqrt {1-c^2 x^2} (a+b \cos ^{-1}(c x))} \, dx\)
 3.24 \(\int x^3 \cos ^{-1}(a+b x) \, dx\)
 3.25 \(\int x^2 \cos ^{-1}(a+b x) \, dx\)
 3.26 \(\int x \cos ^{-1}(a+b x) \, dx\)
 3.27 \(\int \cos ^{-1}(a+b x) \, dx\)
 3.28 \(\int \frac {\cos ^{-1}(a+b x)}{x} \, dx\)
 3.29 \(\int \frac {\cos ^{-1}(a+b x)}{x^2} \, dx\)
 3.30 \(\int \frac {\cos ^{-1}(a+b x)}{x^3} \, dx\)
 3.31 \(\int \frac {\cos ^{-1}(a+b x)}{x^4} \, dx\)
 3.32 \(\int \cos ^{-1}(a+b x)^3 \, dx\)
 3.33 \(\int \cos ^{-1}(a+b x)^2 \, dx\)
 3.34 \(\int \frac {1}{\cos ^{-1}(a+b x)} \, dx\)
 3.35 \(\int \frac {1}{\cos ^{-1}(a+b x)^2} \, dx\)
 3.36 \(\int \frac {1}{\cos ^{-1}(a+b x)^3} \, dx\)
 3.37 \(\int \cos ^{-1}(a+b x)^{5/2} \, dx\)
 3.38 \(\int \cos ^{-1}(a+b x)^{3/2} \, dx\)
 3.39 \(\int \sqrt {\cos ^{-1}(a+b x)} \, dx\)
 3.40 \(\int \frac {1}{\sqrt {\cos ^{-1}(a+b x)}} \, dx\)
 3.41 \(\int \frac {1}{\cos ^{-1}(a+b x)^{3/2}} \, dx\)
 3.42 \(\int \frac {1}{\cos ^{-1}(a+b x)^{5/2}} \, dx\)
 3.43 \(\int \frac {1}{\sqrt {a+b \cos ^{-1}(c+d x)}} \, dx\)
 3.44 \(\int \frac {1}{\sqrt {a-b \cos ^{-1}(c+d x)}} \, dx\)
 3.45 \(\int \frac {\cos ^{-1}(a+b x)}{\frac {a d}{b}+d x} \, dx\)
 3.46 \(\int \sqrt {1-x^2} \cos ^{-1}(x) \, dx\)
 3.47 \(\int x^3 \cos ^{-1}(a x^2) \, dx\)
 3.48 \(\int x^2 \cos ^{-1}(a x^2) \, dx\)
 3.49 \(\int x \cos ^{-1}(a x^2) \, dx\)
 3.50 \(\int \cos ^{-1}(a x^2) \, dx\)
 3.51 \(\int \frac {\cos ^{-1}(a x^2)}{x} \, dx\)
 3.52 \(\int \frac {\cos ^{-1}(a x^2)}{x^2} \, dx\)
 3.53 \(\int x^2 \cos ^{-1}(\frac {a}{x}) \, dx\)
 3.54 \(\int x \cos ^{-1}(\frac {a}{x}) \, dx\)
 3.55 \(\int \cos ^{-1}(\frac {a}{x}) \, dx\)
 3.56 \(\int \frac {\cos ^{-1}(\frac {a}{x})}{x} \, dx\)
 3.57 \(\int \frac {\cos ^{-1}(\frac {a}{x})}{x^2} \, dx\)
 3.58 \(\int \frac {\cos ^{-1}(\frac {a}{x})}{x^3} \, dx\)
 3.59 \(\int \frac {\cos ^{-1}(\frac {a}{x})}{x^4} \, dx\)
 3.60 \(\int x^2 \cos ^{-1}(\sqrt {x}) \, dx\)
 3.61 \(\int x \cos ^{-1}(\sqrt {x}) \, dx\)
 3.62 \(\int \cos ^{-1}(\sqrt {x}) \, dx\)
 3.63 \(\int \frac {\cos ^{-1}(\sqrt {x})}{x} \, dx\)
 3.64 \(\int \frac {\cos ^{-1}(\sqrt {x})}{x^2} \, dx\)
 3.65 \(\int \frac {\cos ^{-1}(\sqrt {x})}{x^3} \, dx\)
 3.66 \(\int \frac {\cos ^{-1}(\sqrt {x})}{x^4} \, dx\)
 3.67 \(\int \frac {\cos ^{-1}(\sqrt {x})}{x^5} \, dx\)
 3.68 \(\int \frac {\cos ^{-1}(\sqrt {x})}{\sqrt {x}} \, dx\)
 3.69 \(\int \frac {\cos ^{-1}(a x^n)}{x} \, dx\)
 3.70 \(\int \frac {\cos ^{-1}(a x^5)}{x} \, dx\)
 3.71 \(\int x^3 \cos ^{-1}(a+b x^4) \, dx\)
 3.72 \(\int x^{-1+n} \cos ^{-1}(a+b x^n) \, dx\)
 3.73 \(\int (a+b \cos ^{-1}(1+d x^2))^4 \, dx\)
 3.74 \(\int (a+b \cos ^{-1}(1+d x^2))^3 \, dx\)
 3.75 \(\int (a+b \cos ^{-1}(1+d x^2))^2 \, dx\)
 3.76 \(\int (a+b \cos ^{-1}(1+d x^2)) \, dx\)
 3.77 \(\int \frac {1}{a+b \cos ^{-1}(1+d x^2)} \, dx\)
 3.78 \(\int \frac {1}{(a+b \cos ^{-1}(1+d x^2))^2} \, dx\)
 3.79 \(\int \frac {1}{(a+b \cos ^{-1}(1+d x^2))^3} \, dx\)
 3.80 \(\int (a+b \cos ^{-1}(-1+d x^2))^4 \, dx\)
 3.81 \(\int (a+b \cos ^{-1}(-1+d x^2))^3 \, dx\)
 3.82 \(\int (a+b \cos ^{-1}(-1+d x^2))^2 \, dx\)
 3.83 \(\int (a+b \cos ^{-1}(-1+d x^2)) \, dx\)
 3.84 \(\int \frac {1}{a+b \cos ^{-1}(-1+d x^2)} \, dx\)
 3.85 \(\int \frac {1}{(a+b \cos ^{-1}(-1+d x^2))^2} \, dx\)
 3.86 \(\int \frac {1}{(a+b \cos ^{-1}(-1+d x^2))^3} \, dx\)
 3.87 \(\int (a+b \cos ^{-1}(1+d x^2))^{5/2} \, dx\)
 3.88 \(\int (a+b \cos ^{-1}(1+d x^2))^{3/2} \, dx\)
 3.89 \(\int \sqrt {a+b \cos ^{-1}(1+d x^2)} \, dx\)
 3.90 \(\int \frac {1}{\sqrt {a+b \cos ^{-1}(1+d x^2)}} \, dx\)
 3.91 \(\int \frac {1}{(a+b \cos ^{-1}(1+d x^2))^{3/2}} \, dx\)
 3.92 \(\int \frac {1}{(a+b \cos ^{-1}(1+d x^2))^{5/2}} \, dx\)
 3.93 \(\int \frac {1}{(a+b \cos ^{-1}(1+d x^2))^{7/2}} \, dx\)
 3.94 \(\int (a+b \cos ^{-1}(-1+d x^2))^{5/2} \, dx\)
 3.95 \(\int (a+b \cos ^{-1}(-1+d x^2))^{3/2} \, dx\)
 3.96 \(\int \sqrt {a+b \cos ^{-1}(-1+d x^2)} \, dx\)
 3.97 \(\int \frac {1}{\sqrt {a+b \cos ^{-1}(-1+d x^2)}} \, dx\)
 3.98 \(\int \frac {1}{(a+b \cos ^{-1}(-1+d x^2))^{3/2}} \, dx\)
 3.99 \(\int \frac {1}{(a+b \cos ^{-1}(-1+d x^2))^{5/2}} \, dx\)
 3.100 \(\int \frac {1}{(a+b \cos ^{-1}(-1+d x^2))^{7/2}} \, dx\)
 3.101 \(\int \frac {(a+b \cos ^{-1}(\frac {\sqrt {1-c x}}{\sqrt {1+c x}}))^n}{1-c^2 x^2} \, dx\)
 3.102 \(\int \frac {(a+b \cos ^{-1}(\frac {\sqrt {1-c x}}{\sqrt {1+c x}}))^3}{1-c^2 x^2} \, dx\)
 3.103 \(\int \frac {(a+b \cos ^{-1}(\frac {\sqrt {1-c x}}{\sqrt {1+c x}}))^2}{1-c^2 x^2} \, dx\)
 3.104 \(\int \frac {a+b \cos ^{-1}(\frac {\sqrt {1-c x}}{\sqrt {1+c x}})}{1-c^2 x^2} \, dx\)
 3.105 \(\int \frac {1}{(1-c^2 x^2) (a+b \cos ^{-1}(\frac {\sqrt {1-c x}}{\sqrt {1+c x}}))} \, dx\)
 3.106 \(\int \frac {1}{(1-c^2 x^2) (a+b \cos ^{-1}(\frac {\sqrt {1-c x}}{\sqrt {1+c x}}))^2} \, dx\)
 3.107 \(\int \cos ^{-1}(c e^{a+b x}) \, dx\)
 3.108 \(\int e^{\cos ^{-1}(a x)} x^3 \, dx\)
 3.109 \(\int e^{\cos ^{-1}(a x)} x^2 \, dx\)
 3.110 \(\int e^{\cos ^{-1}(a x)} x \, dx\)
 3.111 \(\int e^{\cos ^{-1}(a x)} \, dx\)
 3.112 \(\int \frac {e^{\cos ^{-1}(a x)}}{x} \, dx\)
 3.113 \(\int \frac {e^{\cos ^{-1}(a x)}}{x^2} \, dx\)
 3.114 \(\int \cos ^{-1}(\frac {c}{a+b x}) \, dx\)
 3.115 \(\int \frac {x}{\sqrt {1-x^2} \sqrt {\cos ^{-1}(x)}} \, dx\)
 3.116 \(\int \frac {x}{\sqrt {1-x^2} \cos ^{-1}(x)} \, dx\)
 3.117 \(\int \frac {\cos ^{-1}(\sqrt {1+b x^2})^n}{\sqrt {1+b x^2}} \, dx\)
 3.118 \(\int \frac {1}{\sqrt {1+b x^2} \cos ^{-1}(\sqrt {1+b x^2})} \, dx\)