[
next
] [
prev
] [
prev-tail
] [
tail
] [
up
]
3.5
Integrals 401 to 500
\(\int \genfrac {}{}{}{}{1}{x^2 (1-3 x^4+x^8)} \, dx\) [401]
\(\int \genfrac {}{}{}{}{1}{x^4 (1-3 x^4+x^8)} \, dx\) [402]
\(\int \genfrac {}{}{}{}{1}{x^6 (1-3 x^4+x^8)} \, dx\) [403]
\(\int \genfrac {}{}{}{}{1}{x^8 (1-3 x^4+x^8)} \, dx\) [404]
\(\int \genfrac {}{}{}{}{x^3}{2+3 x^4+x^8} \, dx\) [405]
\(\int \genfrac {}{}{}{}{x^{11}}{2+3 x^4+x^8} \, dx\) [406]
\(\int \genfrac {}{}{}{}{x^9}{2+x^5+x^{10}} \, dx\) [407]
\(\int \genfrac {}{}{}{}{x^4}{2+x^5+x^{10}} \, dx\) [408]
\(\int \genfrac {}{}{}{}{1}{x (1+x^5+x^{10})} \, dx\) [409]
\(\int \genfrac {}{}{}{}{1}{x^6 (1+x^5+x^{10})} \, dx\) [410]
\(\int \genfrac {}{}{}{}{1}{x+x^6+x^{11}} \, dx\) [411]
\(\int \genfrac {}{}{}{}{x^3}{c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}} \, dx\) [412]
\(\int \genfrac {}{}{}{}{x^2}{c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}} \, dx\) [413]
\(\int \genfrac {}{}{}{}{x}{c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}} \, dx\) [414]
\(\int \genfrac {}{}{}{}{1}{c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}} \, dx\) [415]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}) x} \, dx\) [416]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}) x^2} \, dx\) [417]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}) x^3} \, dx\) [418]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}) x^4} \, dx\) [419]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}) x^5} \, dx\) [420]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}) x^6} \, dx\) [421]
\(\int \genfrac {}{}{}{}{x}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2} \, dx\) [422]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2} \, dx\) [423]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2 x} \, dx\) [424]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2 x^2} \, dx\) [425]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2 x^3} \, dx\) [426]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2 x^4} \, dx\) [427]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2 x^5} \, dx\) [428]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2 x^6} \, dx\) [429]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^2 x^7} \, dx\) [430]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3} \, dx\) [431]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x} \, dx\) [432]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x^2} \, dx\) [433]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x^3} \, dx\) [434]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x^4} \, dx\) [435]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x^5} \, dx\) [436]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x^6} \, dx\) [437]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x^7} \, dx\) [438]
\(\int \genfrac {}{}{}{}{1}{(c+\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x})^3 x^8} \, dx\) [439]
\(\int \genfrac {}{}{}{}{x^2}{15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}} \, dx\) [440]
\(\int \genfrac {}{}{}{}{x}{15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}} \, dx\) [441]
\(\int \genfrac {}{}{}{}{1}{15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}} \, dx\) [442]
\(\int \genfrac {}{}{}{}{1}{(15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}) x} \, dx\) [443]
\(\int \genfrac {}{}{}{}{1}{(15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}) x^2} \, dx\) [444]
\(\int \genfrac {}{}{}{}{1}{(15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}) x^3} \, dx\) [445]
\(\int \genfrac {}{}{}{}{1}{(15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}) x^4} \, dx\) [446]
\(\int \genfrac {}{}{}{}{1}{(15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}) x^5} \, dx\) [447]
\(\int \genfrac {}{}{}{}{1}{(15+\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{13}{x}) x^6} \, dx\) [448]
\(\int (a+\genfrac {}{}{}{}{c}{x^2}+\genfrac {}{}{}{}{b}{x})^{5/2} \, dx\) [449]
\(\int (a+\genfrac {}{}{}{}{c}{x^2}+\genfrac {}{}{}{}{b}{x})^{3/2} \, dx\) [450]
\(\int \sqrt {a+\genfrac {}{}{}{}{c}{x^2}+\genfrac {}{}{}{}{b}{x}} \, dx\) [451]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{c}{x^2}+\genfrac {}{}{}{}{b}{x}}} \, dx\) [452]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{c}{x^2}+\genfrac {}{}{}{}{b}{x})^{3/2}} \, dx\) [453]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{c}{x^2}+\genfrac {}{}{}{}{b}{x})^{5/2}} \, dx\) [454]
\(\int \sqrt {a^2+\genfrac {}{}{}{}{b^2}{x^2}+\genfrac {}{}{}{}{2 a b}{x}} \, dx\) [455]
\(\int \genfrac {}{}{}{}{1}{c+\genfrac {}{}{}{}{a}{x^4}+\genfrac {}{}{}{}{b}{x^2}} \, dx\) [456]
\(\int \genfrac {}{}{}{}{1}{c+\genfrac {}{}{}{}{a}{x^6}+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [457]
\(\int \genfrac {}{}{}{}{1}{c+\genfrac {}{}{}{}{a}{x^8}+\genfrac {}{}{}{}{b}{x^4}} \, dx\) [458]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {x}+c x}}{x} \, dx\) [459]
\(\int (\genfrac {}{}{}{}{b^2}{4 c}+b \sqrt {x}+c x)^2 \, dx\) [460]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a^2+2 a b \sqrt {x}+b^2 x}} \, dx\) [461]
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{7/2} \, dx\) [462]
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{5/2} \, dx\) [463]
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{3/2} \, dx\) [464]
\(\int \sqrt {a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3}} \, dx\) [465]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3}}} \, dx\) [466]
\(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{3/2}} \, dx\) [467]
\(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{5/2}} \, dx\) [468]
\(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{7/2}} \, dx\) [469]
\(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{9/2}} \, dx\) [470]
\(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{11/2}} \, dx\) [471]
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p (d x)^m \, dx\) [472]
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p x^2 \, dx\) [473]
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p x \, dx\) [474]
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p \, dx\) [475]
\(\int \genfrac {}{}{}{}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{x} \, dx\) [476]
\(\int \genfrac {}{}{}{}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{x^2} \, dx\) [477]
\(\int (\genfrac {}{}{}{}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{x^2}-\genfrac {}{}{}{}{2 b^3 (1-2 p) (1-p) p (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{3 a^3 x}) \, dx\) [478]
\(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [4]{x}+b^2 \sqrt {x})^{3/2}} \, dx\) [479]
\(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [6]{x}+b^2 \sqrt [3]{x})^{5/2}} \, dx\) [480]
\(\int (a^2+\genfrac {}{}{}{}{b^2}{x}+\genfrac {}{}{}{}{2 a b}{\sqrt {x}})^{3/2} \, dx\) [481]
\(\int (a^2+\genfrac {}{}{}{}{b^2}{x^{2/3}}+\genfrac {}{}{}{}{2 a b}{\sqrt [3]{x}})^{7/2} \, dx\) [482]
\(\int (a^2+\genfrac {}{}{}{}{b^2}{x^{2/3}}+\genfrac {}{}{}{}{2 a b}{\sqrt [3]{x}})^{5/2} \, dx\) [483]
\(\int (a^2+\genfrac {}{}{}{}{b^2}{x^{2/3}}+\genfrac {}{}{}{}{2 a b}{\sqrt [3]{x}})^{3/2} \, dx\) [484]
\(\int \sqrt {a^2+\genfrac {}{}{}{}{b^2}{x^{2/3}}+\genfrac {}{}{}{}{2 a b}{\sqrt [3]{x}}} \, dx\) [485]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a^2+\genfrac {}{}{}{}{b^2}{x^{2/3}}+\genfrac {}{}{}{}{2 a b}{\sqrt [3]{x}}}} \, dx\) [486]
\(\int \genfrac {}{}{}{}{1}{(a^2+\genfrac {}{}{}{}{b^2}{x^{2/3}}+\genfrac {}{}{}{}{2 a b}{\sqrt [3]{x}})^{3/2}} \, dx\) [487]
\(\int \genfrac {}{}{}{}{1}{(a^2+\genfrac {}{}{}{}{b^2}{x^{2/3}}+\genfrac {}{}{}{}{2 a b}{\sqrt [3]{x}})^{5/2}} \, dx\) [488]
\(\int (a^2+\genfrac {}{}{}{}{b^2}{\sqrt {x}}+\genfrac {}{}{}{}{2 a b}{\sqrt [4]{x}})^{5/2} \, dx\) [489]
\(\int (a^2+\genfrac {}{}{}{}{b^2}{x^{2/5}}+\genfrac {}{}{}{}{2 a b}{\sqrt [5]{x}})^{5/2} \, dx\) [490]
\(\int \genfrac {}{}{}{}{1}{(a^2+2 a b \sqrt [5]{x}+b^2 x^{2/5})^{5/2}} \, dx\) [491]
\(\int (a^2+\genfrac {}{}{}{}{b^2}{\sqrt [3]{x}}+\genfrac {}{}{}{}{2 a b}{\sqrt [6]{x}})^{7/2} \, dx\) [492]
\(\int \genfrac {}{}{}{}{x^{-1+4 n}}{b x^n+c x^{2 n}} \, dx\) [493]
\(\int \genfrac {}{}{}{}{x^{-1+3 n}}{b x^n+c x^{2 n}} \, dx\) [494]
\(\int \genfrac {}{}{}{}{x^{-1+2 n}}{b x^n+c x^{2 n}} \, dx\) [495]
\(\int \genfrac {}{}{}{}{x^{-1+n}}{b x^n+c x^{2 n}} \, dx\) [496]
\(\int \genfrac {}{}{}{}{x^{-1-n}}{b x^n+c x^{2 n}} \, dx\) [497]
\(\int \genfrac {}{}{}{}{x^{-1-2 n}}{b x^n+c x^{2 n}} \, dx\) [498]
\(\int \genfrac {}{}{}{}{x^{-1-3 n}}{b x^n+c x^{2 n}} \, dx\) [499]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{4}}}{b x^n+c x^{2 n}} \, dx\) [500]
[
next
] [
prev
] [
prev-tail
] [
front
] [
up
]