3.8 Integrals 701 to 798

\(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt [3]{c^2 d^2-b c d e+b^2 e^2+3 b c e^2 x+3 c^2 e^2 x^2}} \, dx\) [701]
\(\int \genfrac {}{}{}{}{(2+3 x)^4}{\sqrt [3]{52-54 x+27 x^2}} \, dx\) [702]
\(\int \genfrac {}{}{}{}{(2+3 x)^3}{\sqrt [3]{52-54 x+27 x^2}} \, dx\) [703]
\(\int \genfrac {}{}{}{}{(2+3 x)^2}{\sqrt [3]{52-54 x+27 x^2}} \, dx\) [704]
\(\int \genfrac {}{}{}{}{2+3 x}{\sqrt [3]{52-54 x+27 x^2}} \, dx\) [705]
\(\int \genfrac {}{}{}{}{1}{(2+3 x) \sqrt [3]{52-54 x+27 x^2}} \, dx\) [706]
\(\int \genfrac {}{}{}{}{1}{(2+3 x)^2 \sqrt [3]{52-54 x+27 x^2}} \, dx\) [707]
\(\int \genfrac {}{}{}{}{1}{(2+3 x)^3 \sqrt [3]{52-54 x+27 x^2}} \, dx\) [708]
\(\int \genfrac {}{}{}{}{(2+3 x)^4}{\sqrt [3]{28+54 x+27 x^2}} \, dx\) [709]
\(\int \genfrac {}{}{}{}{(2+3 x)^3}{\sqrt [3]{28+54 x+27 x^2}} \, dx\) [710]
\(\int \genfrac {}{}{}{}{(2+3 x)^2}{\sqrt [3]{28+54 x+27 x^2}} \, dx\) [711]
\(\int \genfrac {}{}{}{}{2+3 x}{\sqrt [3]{28+54 x+27 x^2}} \, dx\) [712]
\(\int \genfrac {}{}{}{}{1}{(2+3 x) \sqrt [3]{28+54 x+27 x^2}} \, dx\) [713]
\(\int \genfrac {}{}{}{}{1}{(2+3 x)^2 \sqrt [3]{28+54 x+27 x^2}} \, dx\) [714]
\(\int \genfrac {}{}{}{}{1}{(2+3 x)^3 \sqrt [3]{28+54 x+27 x^2}} \, dx\) [715]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1+x} \sqrt [3]{1-x+x^2}} \, dx\) [716]
\(\int \genfrac {}{}{}{}{1}{(1+x)^{2/3} (1-x+x^2)^{2/3}} \, dx\) [717]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1-x} \sqrt [3]{1+x+x^2}} \, dx\) [718]
\(\int \genfrac {}{}{}{}{1}{(1-x)^{2/3} (1+x+x^2)^{2/3}} \, dx\) [719]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{b e-c e x} \sqrt [3]{b^2+b c x+c^2 x^2}} \, dx\) [720]
\(\int \genfrac {}{}{}{}{1}{(b e-c e x)^{2/3} (b^2+b c x+c^2 x^2)^{2/3}} \, dx\) [721]
\(\int (d+e x)^3 \sqrt [4]{a+b x+c x^2} \, dx\) [722]
\(\int (d+e x)^2 \sqrt [4]{a+b x+c x^2} \, dx\) [723]
\(\int (d+e x) \sqrt [4]{a+b x+c x^2} \, dx\) [724]
\(\int \sqrt [4]{a+b x+c x^2} \, dx\) [725]
\(\int \genfrac {}{}{}{}{\sqrt [4]{a+b x+c x^2}}{d+e x} \, dx\) [726]
\(\int \genfrac {}{}{}{}{\sqrt [4]{a+b x+c x^2}}{(d+e x)^2} \, dx\) [727]
\(\int (d+e x)^3 (a+b x+c x^2)^{3/4} \, dx\) [728]
\(\int (d+e x)^2 (a+b x+c x^2)^{3/4} \, dx\) [729]
\(\int (d+e x) (a+b x+c x^2)^{3/4} \, dx\) [730]
\(\int (a+b x+c x^2)^{3/4} \, dx\) [731]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/4}}{d+e x} \, dx\) [732]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/4}}{(d+e x)^2} \, dx\) [733]
\(\int (d+e x)^3 (a+b x+c x^2)^{5/4} \, dx\) [734]
\(\int (d+e x)^2 (a+b x+c x^2)^{5/4} \, dx\) [735]
\(\int (d+e x) (a+b x+c x^2)^{5/4} \, dx\) [736]
\(\int (a+b x+c x^2)^{5/4} \, dx\) [737]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/4}}{d+e x} \, dx\) [738]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/4}}{(d+e x)^2} \, dx\) [739]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{\sqrt [4]{a+b x+c x^2}} \, dx\) [740]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{\sqrt [4]{a+b x+c x^2}} \, dx\) [741]
\(\int \genfrac {}{}{}{}{d+e x}{\sqrt [4]{a+b x+c x^2}} \, dx\) [742]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+b x+c x^2}} \, dx\) [743]
\(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt [4]{a+b x+c x^2}} \, dx\) [744]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 \sqrt [4]{a+b x+c x^2}} \, dx\) [745]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^3 \sqrt [4]{a+b x+c x^2}} \, dx\) [746]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+b x+c x^2)^{3/4}} \, dx\) [747]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^{3/4}} \, dx\) [748]
\(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^{3/4}} \, dx\) [749]
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{3/4}} \, dx\) [750]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^{3/4}} \, dx\) [751]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^{3/4}} \, dx\) [752]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a+b x+c x^2)^{3/4}} \, dx\) [753]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+b x+c x^2)^{5/4}} \, dx\) [754]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^{5/4}} \, dx\) [755]
\(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^{5/4}} \, dx\) [756]
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{5/4}} \, dx\) [757]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^{5/4}} \, dx\) [758]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^{5/4}} \, dx\) [759]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} \sqrt [4]{a+b x+c x^2}} \, dx\) [760]
\(\int (d+e x)^m (a+b x+c x^2)^4 \, dx\) [761]
\(\int (d+e x)^m (a+b x+c x^2)^3 \, dx\) [762]
\(\int (d+e x)^m (a+b x+c x^2)^2 \, dx\) [763]
\(\int (d+e x)^m (a+b x+c x^2) \, dx\) [764]
\(\int \genfrac {}{}{}{}{(d+e x)^m}{a+b x+c x^2} \, dx\) [765]
\(\int \genfrac {}{}{}{}{(d+e x)^m}{(a+b x+c x^2)^2} \, dx\) [766]
\(\int (d+e x)^m (a+b x+c x^2)^{5/2} \, dx\) [767]
\(\int (d+e x)^m (a+b x+c x^2)^{3/2} \, dx\) [768]
\(\int (d+e x)^m \sqrt {a+b x+c x^2} \, dx\) [769]
\(\int \genfrac {}{}{}{}{(d+e x)^m}{\sqrt {a+b x+c x^2}} \, dx\) [770]
\(\int \genfrac {}{}{}{}{(d+e x)^m}{(a+b x+c x^2)^{3/2}} \, dx\) [771]
\(\int \genfrac {}{}{}{}{(d+e x)^m}{(a+b x+c x^2)^{5/2}} \, dx\) [772]
\(\int (d+e x)^3 (a+b x+c x^2)^p \, dx\) [773]
\(\int (d+e x)^2 (a+b x+c x^2)^p \, dx\) [774]
\(\int (d+e x) (a+b x+c x^2)^p \, dx\) [775]
\(\int (a+b x+c x^2)^p \, dx\) [776]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{d+e x} \, dx\) [777]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{(d+e x)^2} \, dx\) [778]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{(d+e x)^3} \, dx\) [779]
\(\int (d+e x)^{3/2} (a+b x+c x^2)^p \, dx\) [780]
\(\int \sqrt {d+e x} (a+b x+c x^2)^p \, dx\) [781]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{\sqrt {d+e x}} \, dx\) [782]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{(d+e x)^{3/2}} \, dx\) [783]
\(\int (d x)^m (a+b x+c x^2)^p \, dx\) [784]
\(\int (d+e x)^m (a+b x+c x^2)^p \, dx\) [785]
\(\int (d+e x)^{-2 p} (a+b x+c x^2)^p \, dx\) [786]
\(\int (d+e x)^{-1-2 p} (a+b x+c x^2)^p \, dx\) [787]
\(\int (d+e x)^{-2-2 p} (a+b x+c x^2)^p \, dx\) [788]
\(\int (d+e x)^{-3-2 p} (a+b x+c x^2)^p \, dx\) [789]
\(\int (d+e x)^{-4-2 p} (a+b x+c x^2)^p \, dx\) [790]
\(\int (d+e x)^{-5-2 p} (a+b x+c x^2)^p \, dx\) [791]
\(\int (d+e x)^{-6-2 p} (a+b x+c x^2)^p \, dx\) [792]
\(\int (d+e x)^m (a+b x+c x^2)^{-2-\genfrac {}{}{}{}{m}{2}} \, dx\) [793]
\(\int (1+x)^p (1-x+x^2)^p \, dx\) [794]
\(\int (1-x)^p (1+x+x^2)^p \, dx\) [795]
\(\int (b e-c e x)^p (b^2+b c x+c^2 x^2)^p \, dx\) [796]
\(\int \sqrt [3]{d+e x} \sqrt [3]{c^2 d^2-b c d e+b^2 e^2+3 b c e^2 x+3 c^2 e^2 x^2} \, dx\) [797]
\(\int (d+e x)^p (c^2 d^2-b c d e+b^2 e^2+3 b c e^2 x+3 c^2 e^2 x^2)^p \, dx\) [798]