3.6 Integrals 501 to 600

\(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{n}{4}}}{a+b x^n} \, dx\) [501]
\(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{3 n}{2}}}{a+b x^n} \, dx\) [502]
\(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{4 n}{3}}}{a+b x^n} \, dx\) [503]
\(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{5 n}{4}}}{a+b x^n} \, dx\) [504]
\(\int x \sqrt {a+b x^n} \, dx\) [505]
\(\int \sqrt {a+b x^n} \, dx\) [506]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^n}}{x} \, dx\) [507]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^n}}{x^2} \, dx\) [508]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^n}}{x^3} \, dx\) [509]
\(\int x (a+b x^n)^{3/2} \, dx\) [510]
\(\int (a+b x^n)^{3/2} \, dx\) [511]
\(\int \genfrac {}{}{}{}{(a+b x^n)^{3/2}}{x} \, dx\) [512]
\(\int \genfrac {}{}{}{}{(a+b x^n)^{3/2}}{x^2} \, dx\) [513]
\(\int \genfrac {}{}{}{}{(a+b x^n)^{3/2}}{x^3} \, dx\) [514]
\(\int x (a+b x^n)^{5/2} \, dx\) [515]
\(\int (a+b x^n)^{5/2} \, dx\) [516]
\(\int \genfrac {}{}{}{}{(a+b x^n)^{5/2}}{x} \, dx\) [517]
\(\int \genfrac {}{}{}{}{(a+b x^n)^{5/2}}{x^2} \, dx\) [518]
\(\int \genfrac {}{}{}{}{(a+b x^n)^{5/2}}{x^3} \, dx\) [519]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x^n}} \, dx\) [520]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x^n}} \, dx\) [521]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x^n}} \, dx\) [522]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+b x^n}} \, dx\) [523]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a+b x^n}} \, dx\) [524]
\(\int \genfrac {}{}{}{}{x}{(a+b x^n)^{3/2}} \, dx\) [525]
\(\int \genfrac {}{}{}{}{1}{(a+b x^n)^{3/2}} \, dx\) [526]
\(\int \genfrac {}{}{}{}{1}{x (a+b x^n)^{3/2}} \, dx\) [527]
\(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^n)^{3/2}} \, dx\) [528]
\(\int \genfrac {}{}{}{}{1}{x^3 (a+b x^n)^{3/2}} \, dx\) [529]
\(\int \genfrac {}{}{}{}{x}{(a+b x^n)^{5/2}} \, dx\) [530]
\(\int \genfrac {}{}{}{}{1}{(a+b x^n)^{5/2}} \, dx\) [531]
\(\int \genfrac {}{}{}{}{1}{x (a+b x^n)^{5/2}} \, dx\) [532]
\(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^n)^{5/2}} \, dx\) [533]
\(\int \genfrac {}{}{}{}{1}{x^3 (a+b x^n)^{5/2}} \, dx\) [534]
\(\int x^{-1+4 n} \sqrt {a+b x^n} \, dx\) [535]
\(\int x^{-1+3 n} \sqrt {a+b x^n} \, dx\) [536]
\(\int x^{-1+2 n} \sqrt {a+b x^n} \, dx\) [537]
\(\int x^{-1+n} \sqrt {a+b x^n} \, dx\) [538]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^n}}{x} \, dx\) [539]
\(\int x^{-1-n} \sqrt {a+b x^n} \, dx\) [540]
\(\int x^{-1-2 n} \sqrt {a+b x^n} \, dx\) [541]
\(\int x^{-1-3 n} \sqrt {a+b x^n} \, dx\) [542]
\(\int x^{-1-4 n} \sqrt {a+b x^n} \, dx\) [543]
\(\int \genfrac {}{}{}{}{x^{-1+4 n}}{\sqrt {a+b x^n}} \, dx\) [544]
\(\int \genfrac {}{}{}{}{x^{-1+3 n}}{\sqrt {a+b x^n}} \, dx\) [545]
\(\int \genfrac {}{}{}{}{x^{-1+2 n}}{\sqrt {a+b x^n}} \, dx\) [546]
\(\int \genfrac {}{}{}{}{x^{-1+n}}{\sqrt {a+b x^n}} \, dx\) [547]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x^n}} \, dx\) [548]
\(\int \genfrac {}{}{}{}{x^{-1-n}}{\sqrt {a+b x^n}} \, dx\) [549]
\(\int \genfrac {}{}{}{}{x^{-1-2 n}}{\sqrt {a+b x^n}} \, dx\) [550]
\(\int \genfrac {}{}{}{}{x^{-1-3 n}}{\sqrt {a+b x^n}} \, dx\) [551]
\(\int \genfrac {}{}{}{}{x^{-1-4 n}}{\sqrt {a+b x^n}} \, dx\) [552]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x^n}}{x} \, dx\) [553]
\(\int x^{-1+n} (a+b x^n)^2 \, dx\) [554]
\(\int x^{-1+n} (a+b x^n) \, dx\) [555]
\(\int \genfrac {}{}{}{}{x^{-1+n}}{a+b x^n} \, dx\) [556]
\(\int \genfrac {}{}{}{}{x^{-1+n}}{(a+b x^n)^2} \, dx\) [557]
\(\int \genfrac {}{}{}{}{x^{-1+n}}{(a+b x^n)^3} \, dx\) [558]
\(\int x^{-1+\genfrac {}{}{}{}{n}{2}} (a+b x^n)^3 \, dx\) [559]
\(\int x^{-1+\genfrac {}{}{}{}{n}{2}} (a+b x^n)^2 \, dx\) [560]
\(\int x^{-1+\genfrac {}{}{}{}{n}{2}} (a+b x^n) \, dx\) [561]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{2}}}{a+b x^n} \, dx\) [562]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{2}}}{(a+b x^n)^2} \, dx\) [563]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{2}}}{(a+b x^n)^3} \, dx\) [564]
\(\int x^{-1+\genfrac {}{}{}{}{n}{3}} (a+b x^n)^3 \, dx\) [565]
\(\int x^{-1+\genfrac {}{}{}{}{n}{3}} (a+b x^n)^2 \, dx\) [566]
\(\int x^{-1+\genfrac {}{}{}{}{n}{3}} (a+b x^n) \, dx\) [567]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{3}}}{a+b x^n} \, dx\) [568]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{3}}}{(a+b x^n)^2} \, dx\) [569]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{3}}}{(a+b x^n)^3} \, dx\) [570]
\(\int \genfrac {}{}{}{}{x^m}{a+b x^{1+m}} \, dx\) [571]
\(\int x^m (a+b x^{1+m})^n \, dx\) [572]
\(\int x^m (a+b x^n)^3 \, dx\) [573]
\(\int x^m (a+b x^n)^2 \, dx\) [574]
\(\int x^m (a+b x^n) \, dx\) [575]
\(\int \genfrac {}{}{}{}{x^m}{a+b x^n} \, dx\) [576]
\(\int \genfrac {}{}{}{}{x^m}{(a+b x^n)^2} \, dx\) [577]
\(\int \genfrac {}{}{}{}{x^m}{(a+b x^n)^3} \, dx\) [578]
\(\int \genfrac {}{}{}{}{x^m}{(a+b x^n)^{10}} \, dx\) [579]
\(\int x^m (a+b x^{2+2 m})^3 \, dx\) [580]
\(\int x^m (a+b x^{2+2 m})^2 \, dx\) [581]
\(\int x^m (a+b x^{2+2 m}) \, dx\) [582]
\(\int \genfrac {}{}{}{}{x^m}{a+b x^{2+2 m}} \, dx\) [583]
\(\int \genfrac {}{}{}{}{x^m}{(a+b x^{2+2 m})^2} \, dx\) [584]
\(\int \genfrac {}{}{}{}{x^m}{(a+b x^{2+2 m})^3} \, dx\) [585]
\(\int x^{-1+n} (a+b x^n)^{3/2} \, dx\) [586]
\(\int x^{-1+n} \sqrt {a+b x^n} \, dx\) [587]
\(\int \genfrac {}{}{}{}{x^{-1+n}}{\sqrt {a+b x^n}} \, dx\) [588]
\(\int \genfrac {}{}{}{}{x^{-1+n}}{(a+b x^n)^{3/2}} \, dx\) [589]
\(\int \genfrac {}{}{}{}{x^{-1+n}}{(a+b x^n)^{5/2}} \, dx\) [590]
\(\int x^m (a+b x^n)^{3/2} \, dx\) [591]
\(\int x^m \sqrt {a+b x^n} \, dx\) [592]
\(\int \genfrac {}{}{}{}{x^m}{\sqrt {a+b x^n}} \, dx\) [593]
\(\int \genfrac {}{}{}{}{x^m}{(a+b x^n)^{3/2}} \, dx\) [594]
\(\int \genfrac {}{}{}{}{x^m}{(a+b x^n)^{5/2}} \, dx\) [595]
\(\int \genfrac {}{}{}{}{x^{3+2 n}}{\sqrt {a+b x^n}} \, dx\) [596]
\(\int \genfrac {}{}{}{}{x^{3+n}}{\sqrt {a+b x^n}} \, dx\) [597]
\(\int \genfrac {}{}{}{}{x^{3-n}}{\sqrt {a+b x^n}} \, dx\) [598]
\(\int \genfrac {}{}{}{}{x^{3-2 n}}{\sqrt {a+b x^n}} \, dx\) [599]
\(\int \genfrac {}{}{}{}{x^{m+2 n}}{\sqrt {a+b x^n}} \, dx\) [600]