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3.5
Integrals 401 to 500
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b x}+\sqrt {c+b x}} \, dx\) [401]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x}+\sqrt {c+b x}} \, dx\) [402]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x}+\sqrt {c+b x}} \, dx\) [403]
\(\int \genfrac {}{}{}{}{1}{x (\sqrt {a+b x}+\sqrt {c+b x})} \, dx\) [404]
\(\int \genfrac {}{}{}{}{1}{x^2 (\sqrt {a+b x}+\sqrt {c+b x})} \, dx\) [405]
\(\int \genfrac {}{}{}{}{x^2}{(\sqrt {a+b x}+\sqrt {c+b x})^2} \, dx\) [406]
\(\int \genfrac {}{}{}{}{x}{(\sqrt {a+b x}+\sqrt {c+b x})^2} \, dx\) [407]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {a+b x}+\sqrt {c+b x})^2} \, dx\) [408]
\(\int \genfrac {}{}{}{}{1}{x (\sqrt {a+b x}+\sqrt {c+b x})^2} \, dx\) [409]
\(\int \genfrac {}{}{}{}{1}{x^2 (\sqrt {a+b x}+\sqrt {c+b x})^2} \, dx\) [410]
\(\int \genfrac {}{}{}{}{x^2}{(\sqrt {a+b x}+\sqrt {c+b x})^3} \, dx\) [411]
\(\int \genfrac {}{}{}{}{x}{(\sqrt {a+b x}+\sqrt {c+b x})^3} \, dx\) [412]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {a+b x}+\sqrt {c+b x})^3} \, dx\) [413]
\(\int \genfrac {}{}{}{}{1}{x (\sqrt {a+b x}+\sqrt {c+b x})^3} \, dx\) [414]
\(\int \genfrac {}{}{}{}{1}{x^2 (\sqrt {a+b x}+\sqrt {c+b x})^3} \, dx\) [415]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x}+\sqrt {1+x}} \, dx\) [416]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x}+\sqrt {x}} \, dx\) [417]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x}+\sqrt {1+x}} \, dx\) [418]
\(\int x^3 (\sqrt {1-x}+\sqrt {1+x})^2 \, dx\) [419]
\(\int x^2 (\sqrt {1-x}+\sqrt {1+x})^2 \, dx\) [420]
\(\int x (\sqrt {1-x}+\sqrt {1+x})^2 \, dx\) [421]
\(\int (\sqrt {1-x}+\sqrt {1+x})^2 \, dx\) [422]
\(\int \genfrac {}{}{}{}{(\sqrt {1-x}+\sqrt {1+x})^2}{x} \, dx\) [423]
\(\int \genfrac {}{}{}{}{(\sqrt {1-x}+\sqrt {1+x})^2}{x^2} \, dx\) [424]
\(\int \genfrac {}{}{}{}{(\sqrt {1-x}+\sqrt {1+x})^2}{x^3} \, dx\) [425]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+b x}+\sqrt {a+c x}} \, dx\) [426]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b x}+\sqrt {a+c x}} \, dx\) [427]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x}+\sqrt {a+c x}} \, dx\) [428]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x}+\sqrt {a+c x}} \, dx\) [429]
\(\int \genfrac {}{}{}{}{1}{x (\sqrt {a+b x}+\sqrt {a+c x})} \, dx\) [430]
\(\int \genfrac {}{}{}{}{1}{x^2 (\sqrt {a+b x}+\sqrt {a+c x})} \, dx\) [431]
\(\int \genfrac {}{}{}{}{x^3}{(\sqrt {a+b x}+\sqrt {a+c x})^2} \, dx\) [432]
\(\int \genfrac {}{}{}{}{x^2}{(\sqrt {a+b x}+\sqrt {a+c x})^2} \, dx\) [433]
\(\int \genfrac {}{}{}{}{x}{(\sqrt {a+b x}+\sqrt {a+c x})^2} \, dx\) [434]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {a+b x}+\sqrt {a+c x})^2} \, dx\) [435]
\(\int \genfrac {}{}{}{}{1}{x (\sqrt {a+b x}+\sqrt {a+c x})^2} \, dx\) [436]
\(\int \genfrac {}{}{}{}{1}{x^2 (\sqrt {a+b x}+\sqrt {a+c x})^2} \, dx\) [437]
\(\int \genfrac {}{}{}{}{x^4}{(\sqrt {a+b x}+\sqrt {a+c x})^3} \, dx\) [438]
\(\int \genfrac {}{}{}{}{x^3}{(\sqrt {a+b x}+\sqrt {a+c x})^3} \, dx\) [439]
\(\int \genfrac {}{}{}{}{x^2}{(\sqrt {a+b x}+\sqrt {a+c x})^3} \, dx\) [440]
\(\int \genfrac {}{}{}{}{x}{(\sqrt {a+b x}+\sqrt {a+c x})^3} \, dx\) [441]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {a+b x}+\sqrt {a+c x})^3} \, dx\) [442]
\(\int \sqrt {1-x} (\sqrt {1-x}+\sqrt {1+x}) \, dx\) [443]
\(\int x^3 (-\sqrt {1-x}-\sqrt {1+x}) (\sqrt {1-x}+\sqrt {1+x}) \, dx\) [444]
\(\int x^2 (-\sqrt {1-x}-\sqrt {1+x}) (\sqrt {1-x}+\sqrt {1+x}) \, dx\) [445]
\(\int x (-\sqrt {1-x}-\sqrt {1+x}) (\sqrt {1-x}+\sqrt {1+x}) \, dx\) [446]
\(\int (-\sqrt {1-x}-\sqrt {1+x}) (\sqrt {1-x}+\sqrt {1+x}) \, dx\) [447]
\(\int \genfrac {}{}{}{}{(-\sqrt {1-x}-\sqrt {1+x}) (\sqrt {1-x}+\sqrt {1+x})}{x} \, dx\) [448]
\(\int \genfrac {}{}{}{}{(-\sqrt {1-x}-\sqrt {1+x}) (\sqrt {1-x}+\sqrt {1+x})}{x^2} \, dx\) [449]
\(\int \genfrac {}{}{}{}{(-\sqrt {1-x}-\sqrt {1+x}) (\sqrt {1-x}+\sqrt {1+x})}{x^3} \, dx\) [450]
\(\int \genfrac {}{}{}{}{\sqrt {1-x}+\sqrt {1+x}}{-\sqrt {1-x}+\sqrt {1+x}} \, dx\) [451]
\(\int \genfrac {}{}{}{}{-\sqrt {-1+x}+\sqrt {1+x}}{\sqrt {-1+x}+\sqrt {1+x}} \, dx\) [452]
\(\int (d+e x+f \sqrt {a+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^n \, dx\) [453]
\(\int (d+e x+f \sqrt {a+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^3 \, dx\) [454]
\(\int (d+e x+f \sqrt {a+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^2 \, dx\) [455]
\(\int (d+e x+f \sqrt {a+\genfrac {}{}{}{}{e^2 x^2}{f^2}}) \, dx\) [456]
\(\int \genfrac {}{}{}{}{1}{d+e x+f \sqrt {a+\genfrac {}{}{}{}{e^2 x^2}{f^2}}} \, dx\) [457]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {a+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^2} \, dx\) [458]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {a+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^3} \, dx\) [459]
\(\int (d+e x+f \sqrt {a+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^{5/2} \, dx\) [460]
\(\int (d+e x+f \sqrt {a+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^{3/2} \, dx\) [461]
\(\int \sqrt {d+e x+f \sqrt {a+\genfrac {}{}{}{}{e^2 x^2}{f^2}}} \, dx\) [462]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x+f \sqrt {a+\genfrac {}{}{}{}{e^2 x^2}{f^2}}}} \, dx\) [463]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {a+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^{3/2}} \, dx\) [464]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {a+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^{5/2}} \, dx\) [465]
\(\int \sqrt {x-\sqrt {-4+x^2}} \, dx\) [466]
\(\int \sqrt {a x+b \sqrt {c+\genfrac {}{}{}{}{a^2 x^2}{b^2}}} \, dx\) [467]
\(\int \sqrt {1+\sqrt {1-x^2}} \, dx\) [468]
\(\int \sqrt {1+\sqrt {1+x^2}} \, dx\) [469]
\(\int \sqrt {5+\sqrt {25+x^2}} \, dx\) [470]
\(\int \sqrt {a+b \sqrt {\genfrac {}{}{}{}{a^2}{b^2}+c x^2}} \, dx\) [471]
\(\int (d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^n \, dx\) [472]
\(\int (d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^3 \, dx\) [473]
\(\int (d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^2 \, dx\) [474]
\(\int (d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}}) \, dx\) [475]
\(\int \genfrac {}{}{}{}{1}{d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}}} \, dx\) [476]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^2} \, dx\) [477]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^3} \, dx\) [478]
\(\int (d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^{5/2} \, dx\) [479]
\(\int (d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^{3/2} \, dx\) [480]
\(\int \sqrt {d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}}} \, dx\) [481]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}}}} \, dx\) [482]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^{3/2}} \, dx\) [483]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^{5/2}} \, dx\) [484]
\(\int (a+x^2)^2 (x+\sqrt {a+x^2})^n \, dx\) [485]
\(\int (a+x^2) (x+\sqrt {a+x^2})^n \, dx\) [486]
\(\int (x+\sqrt {a+x^2})^n \, dx\) [487]
\(\int \genfrac {}{}{}{}{(x+\sqrt {a+x^2})^n}{a+x^2} \, dx\) [488]
\(\int \genfrac {}{}{}{}{(x+\sqrt {a+x^2})^n}{(a+x^2)^2} \, dx\) [489]
\(\int (a+x^2)^2 (x-\sqrt {a+x^2})^n \, dx\) [490]
\(\int (a+x^2) (x-\sqrt {a+x^2})^n \, dx\) [491]
\(\int (x-\sqrt {a+x^2})^n \, dx\) [492]
\(\int \genfrac {}{}{}{}{(x-\sqrt {a+x^2})^n}{a+x^2} \, dx\) [493]
\(\int \genfrac {}{}{}{}{(x-\sqrt {a+x^2})^n}{(a+x^2)^2} \, dx\) [494]
\(\int (a+x^2)^{5/2} (x+\sqrt {a+x^2})^n \, dx\) [495]
\(\int (a+x^2)^{3/2} (x+\sqrt {a+x^2})^n \, dx\) [496]
\(\int \sqrt {a+x^2} (x+\sqrt {a+x^2})^n \, dx\) [497]
\(\int \genfrac {}{}{}{}{(x+\sqrt {a+x^2})^n}{\sqrt {a+x^2}} \, dx\) [498]
\(\int \genfrac {}{}{}{}{(x+\sqrt {a+x^2})^n}{(a+x^2)^{3/2}} \, dx\) [499]
\(\int \genfrac {}{}{}{}{(x+\sqrt {a+x^2})^n}{(a+x^2)^{5/2}} \, dx\) [500]
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