\(\int \genfrac {}{}{}{}{-b+x}{\sqrt [3]{(-a+x) (-b+x)^2} (-b^2+a^2 d+2 (b-a d) x+(-1+d) x^2)} \, dx\) [3101]
\(\int \genfrac {}{}{}{}{(b^2+a x^2)^2}{(-b^2+a x^2)^2 \sqrt {b+\sqrt {b^2+a x^2}}} \, dx\) [3102]
\(\int \genfrac {}{}{}{}{\sqrt {a x+\sqrt {-b+a x}}}{\sqrt {-b+a x} (1+a^2 x^2)} \, dx\) [3103]
\(\int \genfrac {}{}{}{}{(1+x^4) \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{1-x^4} \, dx\) [3104]
\(\int \genfrac {}{}{}{}{(1+x^4) \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{1-x^4} \, dx\) [3105]
\(\int \genfrac {}{}{}{}{(1+x^2)^{5/2} \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2} \, dx\) [3106]
\(\int \genfrac {}{}{}{}{(1+x^2)^{5/2} \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2} \, dx\) [3107]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^4}}{(1+x)^3 \sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [3108]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {1-\sqrt {1-\sqrt {1-\genfrac {}{}{}{}{1}{x}}}}} \, dx\) [3109]
\(\int \genfrac {}{}{}{}{(1+x^2) (-a-b x+a x^2)}{x^2 (-c+d x+c x^2) \sqrt [3]{\genfrac {}{}{}{}{-1+x^2-x c_0}{-1+x^2-x c_1}}} \, dx\) [3110]
\(\int \genfrac {}{}{}{}{(1+x^2)^2 \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2 \sqrt {x+\sqrt {1+x^2}}} \, dx\) [3111]
\(\int \genfrac {}{}{}{}{(1+x^2)^2 \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2 \sqrt {x+\sqrt {1+x^2}}} \, dx\) [3112]
\(\int \genfrac {}{}{}{}{(1+x^2)^2 \sqrt {x+\sqrt {1+x^2}} \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2} \, dx\) [3113]
\(\int \genfrac {}{}{}{}{(1+x^2)^2 \sqrt {x+\sqrt {1+x^2}} \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2)^2} \, dx\) [3114]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {1+\sqrt {a x+\sqrt {-b+a^2 x^2}}}} \, dx\) [3115]
\(\int \sqrt [3]{\genfrac {}{}{}{}{x}{-1-a x+3 x^2+3 a x^3-3 x^4-3 a x^5+x^6+a x^7}} \, dx\) [3116]
\(\int \genfrac {}{}{}{}{\sqrt {-b+a^2 x^2} \sqrt [3]{a x+\sqrt {-b+a^2 x^2}}}{\sqrt [4]{c+\sqrt [3]{a x+\sqrt {-b+a^2 x^2}}}} \, dx\) [3117]
\(\int \genfrac {}{}{}{}{\sqrt [6]{a x+\sqrt {-b+a^2 x^2}}}{x^3 \sqrt {-b+a^2 x^2}} \, dx\) [3118]
\(\int \genfrac {}{}{}{}{x^2 (x^2 c_3-c_4) \sqrt [4]{\genfrac {}{}{}{}{x c_0+x^2 c_3+c_4}{x c_1+x^2 c_3+c_4}}}{(-x+x^2 c_3+c_4) (x+x^2 c_3+c_4) (x^2+x^4 c_3{}^2+2 x^2 c_3 c_4+c_4{}^2)} \, dx\) [3119]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a x+\sqrt {-b+a^2 x^2}} \sqrt [3]{c+\sqrt [4]{a x+\sqrt {-b+a^2 x^2}}}} \, dx\) [3120]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{c+\sqrt [4]{a x+\sqrt {-b+a^2 x^2}}}} \, dx\) [3121]
\(\int \sqrt [4]{\genfrac {}{}{}{}{1+a x-4 x^2-4 a x^3+6 x^4+6 a x^5-4 x^6-4 a x^7+x^8+a x^9}{-c+b x}} \, dx\) [3122]
\(\int \sqrt [3]{c+\sqrt [4]{a x+\sqrt {-b+a^2 x^2}}} \, dx\) [3123]
\(\int \genfrac {}{}{}{}{\sqrt [4]{a x+\sqrt {-b+a^2 x^2}}}{x (-b+a^2 x^2)^{3/2}} \, dx\) [3124]
\(\int \genfrac {}{}{}{}{x (2 x^3 c_3-c_4)}{(-x+x^3 c_3+c_4) \sqrt [3]{\genfrac {}{}{}{}{x c_0+x^3 c_3+c_4}{x c_1+x^3 c_3+c_4}} (x^2+x^4 c_3+x^6 c_3{}^2+x c_4+2 x^3 c_3 c_4+c_4{}^2)} \, dx\) [3125]
\(\int \genfrac {}{}{}{}{(-d+c x) \sqrt {a x+\sqrt {b^2+a^2 x^2}}}{d+c x} \, dx\) [3126]
\(\int \genfrac {}{}{}{}{\sqrt [3]{\genfrac {}{}{}{}{x}{-1-a x+3 x^2+3 a x^3-3 x^4-3 a x^5+x^6+a x^7}}}{x^3} \, dx\) [3127]
\(\int \genfrac {}{}{}{}{1}{a b c-(c+a b x)^2 \sqrt {c+b x+a x^2}} \, dx\) [3128]
\(\int \genfrac {}{}{}{}{\sqrt [4]{a x+\sqrt {-b+a^2 x^2}}}{x^2 (-b+a^2 x^2)^{3/2}} \, dx\) [3129]
\(\int \genfrac {}{}{}{}{(-1+x^2) \sqrt {c_4+\sqrt {\genfrac {}{}{}{}{c_0+x c_1}{c_2+x c_3}} c_5}}{1+x^2} \, dx\) [3130]
\(\int \genfrac {}{}{}{}{\sqrt {-b+a^2 x^2}}{\sqrt [4]{c+\sqrt [3]{a x+\sqrt {-b+a^2 x^2}}}} \, dx\) [3131]
\(\int \genfrac {}{}{}{}{\sqrt {-b+a^2 x^2}}{\sqrt [3]{a x+\sqrt {-b+a^2 x^2}} \sqrt [4]{c+\sqrt [3]{a x+\sqrt {-b+a^2 x^2}}}} \, dx\) [3132]
\(\int \genfrac {}{}{}{}{(b+a x^4) \sqrt {-b-c x^2+a x^4}}{(-b+a x^4)^2} \, dx\) [3133]
\(\int \genfrac {}{}{}{}{-a-b c+(1+c) x}{((-a+x) (-b+x)^2)^{2/3} (a-b d+(-1+d) x)} \, dx\) [3134]
\(\int \genfrac {}{}{}{}{-a-b c+(1+c) x}{(-b+x) \sqrt [3]{(-a+x) (-b+x)^2} (a-b d+(-1+d) x)} \, dx\) [3135]
\(\int \genfrac {}{}{}{}{(d+c x^2) (a x+\sqrt {-b+a^2 x^2})^{5/4}}{x (-b+a^2 x^2)^{5/2}} \, dx\) [3136]
\(\int \genfrac {}{}{}{}{1}{\sqrt {c_4+\sqrt {\genfrac {}{}{}{}{c_0+x c_1}{c_2+x c_3}} c_5} (c_6+x c_7){}^2} \, dx\) [3137]
\(\int \genfrac {}{}{}{}{\sqrt [6]{\genfrac {}{}{}{}{1-b x}{c+x}} (1+d x^2)}{(1+b x) (1+c x)} \, dx\) [3138]
\(\int \genfrac {}{}{}{}{\sqrt {-b+a^2 x^2} (a x+\sqrt {-b+a^2 x^2})^{3/4}}{(c+\sqrt [4]{a x+\sqrt {-b+a^2 x^2}})^{2/3}} \, dx\) [3139]
\(\int \genfrac {}{}{}{}{c_6+x c_7}{\sqrt {c_4+\sqrt {\genfrac {}{}{}{}{c_0+x c_1}{c_2+x c_3}} c_5}} \, dx\) [3140]
\(\int \genfrac {}{}{}{}{\sqrt {-b+a^2 x^2}}{(c+\sqrt [4]{a x+\sqrt {-b+a^2 x^2}})^{2/3}} \, dx\) [3141]
\(\int (b+a^2 x^2)^{3/2} \sqrt {a x+\sqrt {b+a^2 x^2}} \sqrt {c+\sqrt {a x+\sqrt {b+a^2 x^2}}} \, dx\) [3142]
\(\int \genfrac {}{}{}{}{\sqrt {-b+a^2 x^2} \sqrt [3]{c+\sqrt [4]{a x+\sqrt {-b+a^2 x^2}}}}{\sqrt [4]{a x+\sqrt {-b+a^2 x^2}}} \, dx\) [3143]
\(\int \genfrac {}{}{}{}{a b c-b^2 x+a^2 x^2}{\sqrt {c+b x+a x^2} (c+b x^2)^2} \, dx\) [3144]
\(\int \genfrac {}{}{}{}{(b^2+a x^2)^2 \sqrt {b+\sqrt {b^2+a x^2}}}{(-b^2+a x^2)^2} \, dx\) [3145]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2+\sqrt {b+a^2 x^4}}}{(d+c x)^2 \sqrt {b+a^2 x^4}} \, dx\) [3146]
\(\int \genfrac {}{}{}{}{-b-a c+(1+c) x}{(-a+x) \sqrt [3]{(-a+x) (-b+x)^2} (b-a d+(-1+d) x)} \, dx\) [3147]
\(\int \genfrac {}{}{}{}{-a-b c+(1+c) x}{\sqrt [3]{(-a+x) (-b+x)^2} (-a^2+b^2 d+2 (a-b d) x+(-1+d) x^2)} \, dx\) [3148]
\(\int \genfrac {}{}{}{}{-b-a c+(1+c) x}{\sqrt [3]{(-a+x) (-b+x)^2} (-b^2+a^2 d+2 (b-a d) x+(-1+d) x^2)} \, dx\) [3149]
\(\int \genfrac {}{}{}{}{c_8+x c_9}{\sqrt {c_4+\sqrt {\genfrac {}{}{}{}{c_0+x c_1}{c_2+x c_3}} c_5} (c_6+x c_7)} \, dx\) [3150]
\(\int \genfrac {}{}{}{}{(-b+x) (-a-b c+(1+c) x)}{((-a+x) (-b+x)^2)^{2/3} (-a^2+b^2 d+2 (a-b d) x+(-1+d) x^2)} \, dx\) [3151]
\(\int \genfrac {}{}{}{}{(-b+x) (-b-a c+(1+c) x)}{((-a+x) (-b+x)^2)^{2/3} (-b^2+a^2 d+2 (b-a d) x+(-1+d) x^2)} \, dx\) [3152]
\(\int \genfrac {}{}{}{}{x^2-c x^2 (\genfrac {}{}{}{}{b+a x}{d+c x})^{3/2}}{a-b \sqrt {\genfrac {}{}{}{}{b+a x}{d+c x}}} \, dx\) [3153]
\(\int \genfrac {}{}{}{}{(c_6+x c_7){}^2}{\sqrt {c_4+\sqrt {\genfrac {}{}{}{}{c_0+x c_1}{c_2+x c_3}} c_5}} \, dx\) [3154]