[
next
] [
prev
] [
prev-tail
] [
tail
] [
up
]
3.9
Integrals 801 to 900
\(\int \genfrac {}{}{}{}{1}{(8+24 x+8 x^2-15 x^3+8 x^4)^{3/2}} \, dx\) [801]
\(\int \genfrac {}{}{}{}{1}{(8+24 x+8 x^2-15 x^3+8 x^4)^{5/2}} \, dx\) [802]
\(\int \genfrac {}{}{}{}{1}{\sqrt {9-6 x-44 x^2+15 x^3+3 x^4}} \, dx\) [803]
\(\int \genfrac {}{}{}{}{1}{(9-6 x-44 x^2+15 x^3+3 x^4)^{3/2}} \, dx\) [804]
\(\int \genfrac {}{}{}{}{(2 \sqrt {3-x}+\genfrac {}{}{}{}{3}{\sqrt {1+x}})^2}{x} \, dx\) [805]
\(\int \genfrac {}{}{}{}{-1+x+x^2}{1+\sqrt {1+x^2}} \, dx\) [806]
\(\int \genfrac {}{}{}{}{-1+x+x^2}{1+x+\sqrt {1+x^2}} \, dx\) [807]
\(\int \genfrac {}{}{}{}{2 \sqrt {-1+x}+x}{\sqrt {-1+x} x} \, dx\) [808]
\(\int (a+c \sqrt {x}+b x^{2/3})^2 \, dx\) [809]
\(\int (a+c \sqrt {x}+b x^{2/3})^3 \, dx\) [810]
\(\int \genfrac {}{}{}{}{-1+x^2}{\sqrt {a-b+\genfrac {}{}{}{}{b}{x^2}} x^3} \, dx\) [811]
\(\int \genfrac {}{}{}{}{-1+x^2}{\sqrt {a+b (-1+\genfrac {}{}{}{}{1}{x^2})} x^3} \, dx\) [812]
\(\int \genfrac {}{}{}{}{1+x}{(4+x^2) \sqrt {9+x^2}} \, dx\) [813]
\(\int x (1+\sqrt {1-x^2}) \, dx\) [814]
\(\int x (1+\sqrt {1-x} \sqrt {1+x}) \, dx\) [815]
\(\int x (1+\genfrac {}{}{}{}{1}{\sqrt {2+x} \sqrt {3+x}}) \, dx\) [816]
\(\int \genfrac {}{}{}{}{x-\sqrt {x^6}}{x (1-x^4)} \, dx\) [817]
\(\int \genfrac {}{}{}{}{1-\genfrac {}{}{}{}{\sqrt {x^6}}{x}}{1-x^4} \, dx\) [818]
\(\int \genfrac {}{}{}{}{x-\sqrt {x^6}}{x-x^5} \, dx\) [819]
\(\int \genfrac {}{}{}{}{x}{x+\sqrt {x^6}} \, dx\) [820]
\(\int \genfrac {}{}{}{}{\sqrt {x}-\sqrt {x^3}}{x-x^3} \, dx\) [821]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x}+\sqrt {x^3}} \, dx\) [822]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x}+\sqrt {(-1+x)^3}} \, dx\) [823]
\(\int (-\genfrac {}{}{}{}{3}{(4+5 x)^2}-\genfrac {}{}{}{}{5+4 x}{(4+5 x)^2 \sqrt {1-x^2}}) \, dx\) [824]
\(\int \genfrac {}{}{}{}{-5-4 x-3 \sqrt {1-x^2}}{(4+5 x)^2 \sqrt {1-x^2}} \, dx\) [825]
\(\int \genfrac {}{}{}{}{1}{(-5-4 x) \sqrt {1-x^2}+3 (1-x^2)} \, dx\) [826]
\(\int \genfrac {}{}{}{}{1}{3-3 x^2-5 \sqrt {1-x^2}-4 x \sqrt {1-x^2}} \, dx\) [827]
\(\int \genfrac {}{}{}{}{-1+\sqrt {1-x^2}}{\sqrt {1-x^2} (2+x-2 \sqrt {1-x^2})^2} \, dx\) [828]
\(\int \genfrac {}{}{}{}{a+b x^{-1+n}}{c x+d x^n} \, dx\) [829]
\(\int \genfrac {}{}{}{}{\sqrt {1+2 x^2}}{1+\sqrt {1+2 x^2}} \, dx\) [830]
\(\int \genfrac {}{}{}{}{\sqrt {-1+4 x^2}}{x+\sqrt {-1+4 x^2}} \, dx\) [831]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{(d+e x)^3 \sqrt {-1+x^2}} \, dx\) [832]
\(\int \genfrac {}{}{}{}{1+2 x^8}{x (1+x^8)^{3/2}} \, dx\) [833]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^8} (1+2 x^8)}{x+2 x^9+x^{17}} \, dx\) [834]
\(\int (1-9 x^2+\genfrac {}{}{}{}{x}{\sqrt {1-9 x^2}}) \, dx\) [835]
\(\int \genfrac {}{}{}{}{x+(1-9 x^2)^{3/2}}{\sqrt {1-9 x^2}} \, dx\) [836]
\(\int \genfrac {}{}{}{}{(-3+2 \sqrt {x}) (-3 \sqrt {x}+x)^{2/3}}{\sqrt {x}} \, dx\) [837]
\(\int \genfrac {}{}{}{}{9-9 \sqrt {x}+2 x}{\sqrt [3]{-3 \sqrt {x}+x}} \, dx\) [838]
\(\int \genfrac {}{}{}{}{1}{\sqrt {4-9 x^2}} \, dx\) [839]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-3 x} \sqrt {2+3 x}} \, dx\) [840]
\(\int \genfrac {}{}{}{}{1}{\sqrt {(2-3 x) (2+3 x)}} \, dx\) [841]
\(\int \genfrac {}{}{}{}{1}{\sqrt {15-2 x-x^2}} \, dx\) [842]
\(\int \genfrac {}{}{}{}{1}{\sqrt {3-x} \sqrt {5+x}} \, dx\) [843]
\(\int \genfrac {}{}{}{}{1}{\sqrt {(3-x) (5+x)}} \, dx\) [844]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-15-8 x-x^2}} \, dx\) [845]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-3-x} \sqrt {5+x}} \, dx\) [846]
\(\int \genfrac {}{}{}{}{1}{\sqrt {(-3-x) (5+x)}} \, dx\) [847]
\(\int (1-\sqrt {x}) \, dx\) [848]
\(\int \genfrac {}{}{}{}{1-x}{1+\sqrt {x}} \, dx\) [849]
\(\int \sqrt {\genfrac {}{}{}{}{1}{1-x^2}} \, dx\) [850]
\(\int \sqrt {\genfrac {}{}{}{}{1+x^2}{1-x^4}} \, dx\) [851]
\(\int \sqrt {\genfrac {}{}{}{}{1}{-1+x^2}} \, dx\) [852]
\(\int \sqrt {\genfrac {}{}{}{}{1+x^2}{-1+x^4}} \, dx\) [853]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-x}} \, dx\) [854]
\(\int \genfrac {}{}{}{}{\sqrt {1+x}}{\sqrt {1-x^2}} \, dx\) [855]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+x}} \, dx\) [856]
\(\int \genfrac {}{}{}{}{\sqrt {1-x}}{\sqrt {1-x^2}} \, dx\) [857]
\(\int \sqrt {1-x} \, dx\) [858]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{\sqrt {1+x}} \, dx\) [859]
\(\int \sqrt {1+x} \, dx\) [860]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{\sqrt {1-x}} \, dx\) [861]
\(\int \genfrac {}{}{}{}{\sqrt {2+3 x}}{\sqrt {1+x}} \, dx\) [862]
\(\int \genfrac {}{}{}{}{\sqrt {1-x} \sqrt {2+3 x}}{\sqrt {1-x^2}} \, dx\) [863]
\(\int \genfrac {}{}{}{}{(1+x)^{3/2}}{(1-x)^{3/2} x} \, dx\) [864]
\(\int \genfrac {}{}{}{}{(1+x)^3}{x (1-x^2)^{3/2}} \, dx\) [865]
\(\int \genfrac {}{}{}{}{(1+a x)^{3/2}}{x (1-a x)^{3/2}} \, dx\) [866]
\(\int \genfrac {}{}{}{}{(1+a x)^3}{x (1-a^2 x^2)^{3/2}} \, dx\) [867]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-x^2}} \, dx\) [868]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^2}}{\sqrt {1-x^4}} \, dx\) [869]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+x^2}} \, dx\) [870]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{\sqrt {1-x^4}} \, dx\) [871]
\(\int \sqrt {1-x^2} \, dx\) [872]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^4}}{\sqrt {1+x^2}} \, dx\) [873]
\(\int \sqrt {1+x^2} \, dx\) [874]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^4}}{\sqrt {1-x^2}} \, dx\) [875]
\(\int (\genfrac {}{}{}{}{a+b+c x^2}{d})^m \, dx\) [876]
\(\int \genfrac {}{}{}{}{1}{x-\sqrt {1+x^2}} \, dx\) [877]
\(\int \genfrac {}{}{}{}{1}{x-\sqrt {1-x^2}} \, dx\) [878]
\(\int \genfrac {}{}{}{}{1}{x-\sqrt {1+2 x^2}} \, dx\) [879]
\(\int \genfrac {}{}{}{}{2 x-x^3+x^2 \sqrt {2-x^2}}{-2+2 x^2} \, dx\) [880]
\(\int \genfrac {}{}{}{}{x \sqrt {2-x^2}}{x-\sqrt {2-x^2}} \, dx\) [881]
\(\int \genfrac {}{}{}{}{x}{-x+\sqrt {2 x-x^2}} \, dx\) [882]
\(\int \genfrac {}{}{}{}{x+\sqrt {2 x-x^2}}{2-2 x} \, dx\) [883]
\(\int \genfrac {}{}{}{}{\sqrt {2-x} \sqrt {x}+x}{2-2 x} \, dx\) [884]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {2-x}-\sqrt {x}} \, dx\) [885]
\(\int \genfrac {}{}{}{}{1}{((1+x) (-1+x^2))^{2/3}} \, dx\) [886]
\(\int \genfrac {}{}{}{}{-1+x^2}{(1+x^2) \sqrt {x (1+x^2)}} \, dx\) [887]
\(\int \genfrac {}{}{}{}{-1+x^2}{(1+x^2) \sqrt {x+x^3}} \, dx\) [888]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{(-1+x^2)^2}{x (1+x^2)}}}{1+x^2} \, dx\) [889]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{(-1+x^2)^2}{x+x^3}}}{1+x^2} \, dx\) [890]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}} \sqrt {c+d x^2}} \, dx\) [891]
\(\int \genfrac {}{}{}{}{\sqrt {-2 x^2+x^4}}{(-1+x^2) (2+x^2)} \, dx\) [892]
\(\int \genfrac {}{}{}{}{\sqrt {1-\genfrac {}{}{}{}{1}{(-1+x^2)^2}}}{2-x^2} \, dx\) [893]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{-2 x^2+x^4}{(-1+x^2)^2}}}{2+x^2} \, dx\) [894]
\(\int (1+\genfrac {}{}{}{}{2 x}{1+x^2})^{5/2} \, dx\) [895]
\(\int (1+\genfrac {}{}{}{}{2 x}{1+x^2})^{3/2} \, dx\) [896]
\(\int \sqrt {1+\genfrac {}{}{}{}{2 x}{1+x^2}} \, dx\) [897]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+\genfrac {}{}{}{}{2 x}{1+x^2}}} \, dx\) [898]
\(\int \genfrac {}{}{}{}{1}{(1+\genfrac {}{}{}{}{2 x}{1+x^2})^{3/2}} \, dx\) [899]
\(\int \genfrac {}{}{}{}{\sqrt {1+\genfrac {}{}{}{}{2 x}{1+x^2}}}{1+x^2} \, dx\) [900]
[
next
] [
prev
] [
prev-tail
] [
front
] [
up
]