\(\int \genfrac {}{}{}{}{(1+x^2)^2 \sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4} (-1+x^2+x^4)} \, dx\) [2901]
\(\int \genfrac {}{}{}{}{(1+x^2)^2 \sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4} (-1+x^2+x^4)} \, dx\) [2902]
\(\int \genfrac {}{}{}{}{x^2 \sqrt [4]{b x^3+a x^4}}{-b+a x^4} \, dx\) [2903]
\(\int \genfrac {}{}{}{}{x^2 \sqrt [4]{b x^3+a x^4}}{-b+a x^4} \, dx\) [2904]
\(\int \genfrac {}{}{}{}{(1+x^2) \sqrt {x+\sqrt {1+x^2}} \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2} \, dx\) [2905]
\(\int \genfrac {}{}{}{}{(1+x^2) \sqrt {x+\sqrt {1+x^2}} \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2} \, dx\) [2906]
\(\int \genfrac {}{}{}{}{x^3 (-b+x) (2 a b-3 a x+x^2)}{\sqrt [3]{x^2 (-a+x) (-b+x)} (-a^4+4 a^3 x-6 a^2 x^2+4 a x^3+(-1+b^2 d) x^4-2 b d x^5+d x^6)} \, dx\) [2907]
\(\int \genfrac {}{}{}{}{(1+x^3)^{2/3} (-1+x^6)}{x^6 (-1-2 x^3+2 x^6)} \, dx\) [2908]
\(\int \genfrac {}{}{}{}{1+x^4}{(-1+x^4) \sqrt {x+\sqrt {1+x^2}}} \, dx\) [2909]
\(\int \genfrac {}{}{}{}{(b+2 a x) \sqrt [4]{b x^3+a x^4}}{-b+a x+x^2} \, dx\) [2910]
\(\int \genfrac {}{}{}{}{(b+2 a x) \sqrt [4]{b x^3+a x^4}}{-b+a x+x^2} \, dx\) [2911]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt [3]{-x^2+x^4} (1+x^6)} \, dx\) [2912]
\(\int \genfrac {}{}{}{}{x^4 \sqrt {b+a^2 x^2}}{x^2-\sqrt {a x-\sqrt {b+a^2 x^2}}} \, dx\) [2913]
\(\int \genfrac {}{}{}{}{-1+x^2}{\sqrt [4]{\genfrac {}{}{}{}{b+a x}{d+c x}}} \, dx\) [2914]
\(\int \genfrac {}{}{}{}{-b+a x^4}{\sqrt {b+a x^4} (b-c^2 x^2+a x^4)} \, dx\) [2915]
\(\int \genfrac {}{}{}{}{(1+x^2) \sqrt [3]{-1-x^2+x^4+x^6}}{x} \, dx\) [2916]
\(\int \sqrt {-\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}} \sqrt [3]{a x^2+b x \sqrt {-\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}}} \, dx\) [2917]
\(\int \genfrac {}{}{}{}{-b+a x^2}{(-d+c x^2) \sqrt [3]{-x+x^3}} \, dx\) [2918]
\(\int \genfrac {}{}{}{}{1}{(b+a x) \sqrt [3]{-b^3+a^3 x^3}} \, dx\) [2919]
\(\int \genfrac {}{}{}{}{-b^{12}+a^{12} x^{12}}{\sqrt {b^4+a^4 x^4} (b^{12}+a^{12} x^{12})} \, dx\) [2920]
\(\int \genfrac {}{}{}{}{(c+b x+a x^2)^{5/2}}{c+b x} \, dx\) [2921]
\(\int \genfrac {}{}{}{}{(-b-a x^2+x^4) \sqrt [4]{b x^2+a x^4}}{b+a x^4} \, dx\) [2922]
\(\int \genfrac {}{}{}{}{(-b-a x^2+x^4) \sqrt [4]{b x^2+a x^4}}{b+a x^4} \, dx\) [2923]
\(\int \genfrac {}{}{}{}{\sqrt {1+x} (-1+x^2)}{(1+x^2) \sqrt {x+\sqrt {1+x}}} \, dx\) [2924]
\(\int \genfrac {}{}{}{}{\sqrt {1+x} (-1+x^2)}{(1+x^2) \sqrt {x+\sqrt {1+x}}} \, dx\) [2925]
\(\int \genfrac {}{}{}{}{-x^2+\sqrt {1+2 x^2}+(1+2 x^2)^{5/2}}{x^2-x (1+2 x^2)^{3/2}} \, dx\) [2926]
\(\int \genfrac {}{}{}{}{(-b+x^3) (b+x^3) (-c+x^3)}{\sqrt [3]{a x^2+x^3}} \, dx\) [2927]
\(\int \genfrac {}{}{}{}{x (-a+x) (-b+x) (a b-2 b x+x^2)}{(x (-a+x) (-b+x)^2)^{2/3} (-b^2+2 b x-(1-a^2 d) x^2-2 a d x^3+d x^4)} \, dx\) [2928]
\(\int \genfrac {}{}{}{}{(-b-a x^2+x^4) \sqrt [4]{-b x^2+a x^4}}{b+a x^4} \, dx\) [2929]
\(\int \genfrac {}{}{}{}{(-b-a x^2+x^4) \sqrt [4]{-b x^2+a x^4}}{b+a x^4} \, dx\) [2930]
\(\int \genfrac {}{}{}{}{a b c-b^2 x+a^2 x^2}{\sqrt {c+b x+a x^2} (c+b x^2)} \, dx\) [2931]
\(\int \genfrac {}{}{}{}{(b+a x^2+x^4) \sqrt [4]{-b x^2+a x^4}}{-b+a x^4} \, dx\) [2932]
\(\int \genfrac {}{}{}{}{(b+a x^2+x^4) \sqrt [4]{-b x^2+a x^4}}{-b+a x^4} \, dx\) [2933]
\(\int \genfrac {}{}{}{}{(-1+(-1+2 k) x) (1-2 x+x^2)}{\sqrt [3]{(1-x) x (1-k x)} (-b+4 b x+(1-6 b) x^2+(4 b-2 k) x^3+(-b+k^2) x^4)} \, dx\) [2934]
\(\int \genfrac {}{}{}{}{1}{(b+a x) \sqrt [4]{b^2 x+a^2 x^3}} \, dx\) [2935]
\(\int \genfrac {}{}{}{}{(-b+a x^4) \sqrt [4]{-b x^2+a x^4}}{-b-a x^2+x^4} \, dx\) [2936]
\(\int \genfrac {}{}{}{}{(-b+a x^4) \sqrt [4]{-b x^2+a x^4}}{-b-a x^2+x^4} \, dx\) [2937]
\(\int \genfrac {}{}{}{}{(-b+x) (-4 a+b+3 x)}{\sqrt [3]{(-a+x) (-b+x)^2} (a+b^4 d-(1+4 b^3 d) x+6 b^2 d x^2-4 b d x^3+d x^4)} \, dx\) [2938]
\(\int \genfrac {}{}{}{}{(d+c x^2) \sqrt {a x+\sqrt {b^2+a^2 x^2}}}{f+e x^2} \, dx\) [2939]
\(\int \genfrac {}{}{}{}{(1+x^2) \sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4} (-1+x^2+x^4)} \, dx\) [2940]
\(\int \genfrac {}{}{}{}{(1+x^2) \sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4} (-1+x^2+x^4)} \, dx\) [2941]
\(\int \genfrac {}{}{}{}{1-x^4}{(1+x^2+x^4) \sqrt [4]{-x^3+x^5}} \, dx\) [2942]
\(\int \genfrac {}{}{}{}{\sqrt {-b+a^2 x^2}}{\sqrt [3]{a x^2+x \sqrt {-b+a^2 x^2}}} \, dx\) [2943]
\(\int \genfrac {}{}{}{}{(b+a^2 x^2) \sqrt {a x^2+\sqrt {b+a^2 x^4}}}{(-b+a^2 x^2) \sqrt {b+a^2 x^4}} \, dx\) [2944]
\(\int \genfrac {}{}{}{}{(b+a^2 x^2) \sqrt {a x^2+\sqrt {b+a^2 x^4}}}{(-b+a^2 x^2) \sqrt {b+a^2 x^4}} \, dx\) [2945]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+b x+c x^2+b x^3+a x^4} (1-x^6)} \, dx\) [2946]
\(\int \genfrac {}{}{}{}{(-q+2 p x^3) \sqrt {q^2-2 p q x^2+2 p q x^3+p^2 x^6} (b x^6+a (q+p x^3)^6)}{x^9} \, dx\) [2947]
\(\int \genfrac {}{}{}{}{(-2 q+p x^3) \sqrt {q^2+2 p q x^3-2 p q x^4+p^2 x^6} (b x^{12}+a (q+p x^3)^6)}{x^{17}} \, dx\) [2948]
\(\int \genfrac {}{}{}{}{(-q+p x^4) \sqrt {q+p x^4}}{b x^4+a (q+p x^4)^2} \, dx\) [2949]
\(\int \genfrac {}{}{}{}{-3 b+a x}{\sqrt [3]{b^2-a^2 x^2} (3 b^2+a^2 x^2)} \, dx\) [2950]
\(\int \genfrac {}{}{}{}{x+\sqrt {1+4 x+7 x^2+8 x^3+5 x^4+2 x^5}}{1-\sqrt {1+4 x+7 x^2+8 x^3+5 x^4+2 x^5}} \, dx\) [2951]
\(\int \genfrac {}{}{}{}{x^3 (4 a b-3 (a+b) x+2 x^2)}{(x^2 (-a+x) (-b+x))^{2/3} (-a b d+(a+b) d x-d x^2+x^4)} \, dx\) [2952]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt [3]{x^2+x^4} (-1+x^6)} \, dx\) [2953]
\(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2 \sqrt {1+x^2}} \, dx\) [2954]
\(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2 \sqrt {1+x^2}} \, dx\) [2955]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^2} \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2} \, dx\) [2956]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^2} \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2} \, dx\) [2957]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^2} \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2} \, dx\) [2958]
\(\int \genfrac {}{}{}{}{(c+b x+a x^2)^{5/2}}{(c+b x)^2} \, dx\) [2959]
\(\int \genfrac {}{}{}{}{(1+x^4)^2}{(-1+x^4)^2 \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [2960]
\(\int \genfrac {}{}{}{}{\sqrt {a x+\sqrt {-b+a x}}}{1+\sqrt {-b+a x}} \, dx\) [2961]
\(\int \genfrac {}{}{}{}{(b x+a x^2) \sqrt [4]{b x^3+a x^4}}{-b+a x+x^2} \, dx\) [2962]
\(\int \genfrac {}{}{}{}{(b x+a x^2) \sqrt [4]{b x^3+a x^4}}{-b+a x+x^2} \, dx\) [2963]
\(\int \genfrac {}{}{}{}{-b^{10}+a^{10} x^{10}}{\sqrt {b^4+a^4 x^4} (b^{10}+a^{10} x^{10})} \, dx\) [2964]
\(\int \genfrac {}{}{}{}{-b^{10}+a^{10} x^{10}}{\sqrt {b^4+a^4 x^4} (b^{10}+a^{10} x^{10})} \, dx\) [2965]
\(\int \genfrac {}{}{}{}{(b+a x^2) \sqrt [3]{x+x^3}}{d+c x^2} \, dx\) [2966]
\(\int \genfrac {}{}{}{}{x^2 (b+a x^3) (-b p+3 a q+2 a p x^3)}{(q+p x^3)^{2/3} (b^3 c+d q+(3 a b^2 c+d p) x^3+3 a^2 b c x^6+a^3 c x^9)} \, dx\) [2967]
\(\int \genfrac {}{}{}{}{a b+a c-2 b c+(-2 a+b+c) x}{\sqrt [3]{(-a+x) (-b+x) (-c+x)} (a^2-b c d+(-2 a+b d+c d) x+(1-d) x^2)} \, dx\) [2968]
\(\int \genfrac {}{}{}{}{(-2+x) (1-x+x^2)}{x^3 (-1+x+x^2) \sqrt [3]{\genfrac {}{}{}{}{1-x+2 x^2}{1-x+3 x^2}}} \, dx\) [2969]
\(\int \genfrac {}{}{}{}{x^3 (5 b+9 a x^4)}{\sqrt [4]{b x+a x^5} (1+b x^5+a x^9)} \, dx\) [2970]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^2} (1+x^4) \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{1-x^4} \, dx\) [2971]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^2} (1+x^4) \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{1-x^4} \, dx\) [2972]
\(\int \genfrac {}{}{}{}{b^{12}+a^{12} x^{12}}{\sqrt {-b^4+a^4 x^4} (-b^{12}+a^{12} x^{12})} \, dx\) [2973]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2+\sqrt {b+a^2 x^4}}}{\sqrt {b+a^2 x^4} (d+c x^4)} \, dx\) [2974]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2+\sqrt {b+a^2 x^4}}}{\sqrt {b+a^2 x^4} (d+c x^4)} \, dx\) [2975]
\(\int \genfrac {}{}{}{}{x}{x-\sqrt {b+a x} \sqrt {c+\sqrt {b+a x}}} \, dx\) [2976]
\(\int \genfrac {}{}{}{}{x}{x-\sqrt {b+a x} \sqrt {c+\sqrt {b+a x}}} \, dx\) [2977]
\(\int \genfrac {}{}{}{}{(-2 x+(1+k) x^2) (1-(1+k) x+(a+k) x^2)}{((1-x) x (1-k x))^{2/3} (1-2 (1+k) x+(1+4 k+k^2) x^2-2 (k+k^2) x^3+(-b+k^2) x^4)} \, dx\) [2978]
\(\int \genfrac {}{}{}{}{(-2+(1+k) x) (1-(1+k) x+(a+k) x^2)}{\sqrt [3]{(1-x) x (1-k x)} (1-(2+2 k) x+(1+4 k+k^2) x^2-2 (k+k^2) x^3+(-b+k^2) x^4)} \, dx\) [2979]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-b+a^2 x^2} \sqrt {a x+\sqrt {-b+a^2 x^2}} \sqrt [6]{c+\sqrt [4]{a x+\sqrt {-b+a^2 x^2}}}} \, dx\) [2980]
\(\int \genfrac {}{}{}{}{x}{\sqrt {1+\sqrt {a x+\sqrt {-b+a^2 x^2}}}} \, dx\) [2981]
\(\int \genfrac {}{}{}{}{(d+c x^2) (a x+\sqrt {-b+a^2 x^2})^{5/4}}{(-b+a^2 x^2)^{3/2}} \, dx\) [2982]
\(\int \genfrac {}{}{}{}{(-b+a x^2) \sqrt [3]{-x+x^3}}{-d+c x^2} \, dx\) [2983]
\(\int \genfrac {}{}{}{}{(-a b+(2 a-b) x) (a^2-2 a x+x^2)}{\sqrt [3]{x (-a+x) (-b+x)} (a^4 d-4 a^3 d x+(-b^2+6 a^2 d) x^2+2 (b-2 a d) x^3+(-1+d) x^4)} \, dx\) [2984]
\(\int \genfrac {}{}{}{}{b+d x}{x^4 \sqrt [4]{\genfrac {}{}{}{}{b+a x}{d+c x}}} \, dx\) [2985]
\(\int \genfrac {}{}{}{}{f+e x}{d+c x+\sqrt {a x+\sqrt {b^2+a^2 x^2}}} \, dx\) [2986]
\(\int \genfrac {}{}{}{}{1+x^6}{\sqrt [4]{-x^3+x^5} (1-x^6)} \, dx\) [2987]
\(\int \genfrac {}{}{}{}{\sqrt {-b+a^2 x^2} (d+c x^4) \sqrt {a x+\sqrt {-b+a^2 x^2}}}{x^2} \, dx\) [2988]
\(\int \genfrac {}{}{}{}{(1+x^2)^{3/2} \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2} \, dx\) [2989]
\(\int \genfrac {}{}{}{}{(1+x^2)^{3/2} \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2} \, dx\) [2990]
\(\int \genfrac {}{}{}{}{(1+x^2)^{3/2} \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2} \, dx\) [2991]
\(\int \genfrac {}{}{}{}{(1+x^2+x^4) \sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4} (-1+x^2+x^4)} \, dx\) [2992]
\(\int \genfrac {}{}{}{}{(1+x^2+x^4) \sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4} (-1+x^2+x^4)} \, dx\) [2993]
\(\int \genfrac {}{}{}{}{\sqrt {-b+a^2 x^2} (d+c x^4) \sqrt {a x+\sqrt {-b+a^2 x^2}}}{x} \, dx\) [2994]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2+\sqrt {b+a^2 x^4}}}{d+c x^2} \, dx\) [2995]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2+\sqrt {b+a^2 x^4}}}{d+c x^2} \, dx\) [2996]
\(\int \genfrac {}{}{}{}{x^5 (7 b+10 a x^3)}{\sqrt [4]{b x^3+a x^6} (1+b x^7+a x^{10})} \, dx\) [2997]
\(\int \genfrac {}{}{}{}{x^4 (-2 q+p x^3) \sqrt {q+p x^3}}{b x^8+a (q+p x^3)^4} \, dx\) [2998]
\(\int \genfrac {}{}{}{}{\sqrt {x+\sqrt {1+x^2}} \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1+x^2)^2} \, dx\) [2999]
\(\int \genfrac {}{}{}{}{\sqrt {x+\sqrt {1+x^2}} \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1+x^2)^2} \, dx\) [3000]