3.6 Integrals 501 to 600

\(\int \genfrac {}{}{}{}{(e x)^m (a+b x^n)^p}{(c+d x^n)^2} \, dx\) [501]
\(\int x^{m+2 n} (a+b x^n)^p (c+d x^n) \, dx\) [502]
\(\int x^{m+n} (a+b x^n)^p (c+d x^n) \, dx\) [503]
\(\int x^m (a+b x^n)^p (c+d x^n) \, dx\) [504]
\(\int x^{m-n} (a+b x^n)^p (c+d x^n) \, dx\) [505]
\(\int x^{m-2 n} (a+b x^n)^p (c+d x^n) \, dx\) [506]
\(\int x^{m-3 n} (a+b x^n)^p (c+d x^n) \, dx\) [507]
\(\int x^p (b+c x)^p (b+2 c x) \, dx\) [508]
\(\int x^{-1+2 (1+p)} (b+c x^2)^p (b+2 c x^2) \, dx\) [509]
\(\int x^{-1+3 (1+p)} (b+c x^3)^p (b+2 c x^3) \, dx\) [510]
\(\int x^{-1+n (1+p)} (b+c x^n)^p (b+2 c x^n) \, dx\) [511]
\(\int x^{-1-n (3+p)} (a+b x^n)^p (c+d x^n)^4 \, dx\) [512]
\(\int x^{-1-n (3+p)} (a+b x^n)^p (c+d x^n)^3 \, dx\) [513]
\(\int x^{-1-n (3+p)} (a+b x^n)^p (c+d x^n)^2 \, dx\) [514]
\(\int x^{-1-n (3+p)} (a+b x^n)^p (c+d x^n) \, dx\) [515]
\(\int x^{-1-n (3+p)} (a+b x^n)^p \, dx\) [516]
\(\int \genfrac {}{}{}{}{x^{-1-n (3+p)} (a+b x^n)^p}{c+d x^n} \, dx\) [517]
\(\int \genfrac {}{}{}{}{x^{-1-n (3+p)} (a+b x^n)^p}{(c+d x^n)^2} \, dx\) [518]
\(\int x^{-1-n (2+p)} (a+b x^n)^p (c+d x^n)^3 \, dx\) [519]
\(\int x^{-1-n (2+p)} (a+b x^n)^p (c+d x^n)^2 \, dx\) [520]
\(\int x^{-1-n (2+p)} (a+b x^n)^p (c+d x^n) \, dx\) [521]
\(\int x^{-1-n (2+p)} (a+b x^n)^p \, dx\) [522]
\(\int \genfrac {}{}{}{}{x^{-1-n (2+p)} (a+b x^n)^p}{c+d x^n} \, dx\) [523]
\(\int \genfrac {}{}{}{}{x^{-1-n (2+p)} (a+b x^n)^p}{(c+d x^n)^2} \, dx\) [524]
\(\int x^{-1-n (1+p)} (a+b x^n)^p (c+d x^n)^3 \, dx\) [525]
\(\int x^{-1-n (1+p)} (a+b x^n)^p (c+d x^n)^2 \, dx\) [526]
\(\int x^{-1-n (1+p)} (a+b x^n)^p (c+d x^n) \, dx\) [527]
\(\int x^{-1-n (1+p)} (a+b x^n)^p \, dx\) [528]
\(\int \genfrac {}{}{}{}{x^{-1-n (1+p)} (a+b x^n)^p}{c+d x^n} \, dx\) [529]
\(\int \genfrac {}{}{}{}{x^{-1-n (1+p)} (a+b x^n)^p}{(c+d x^n)^2} \, dx\) [530]
\(\int \genfrac {}{}{}{}{x^{-1-n (1+p)} (a+b x^n)^p}{(c+d x^n)^3} \, dx\) [531]
\(\int x^{-1-n p} (a+b x^n)^p (c+d x^n)^3 \, dx\) [532]
\(\int x^{-1-n p} (a+b x^n)^p (c+d x^n)^2 \, dx\) [533]
\(\int x^{-1-n p} (a+b x^n)^p (c+d x^n) \, dx\) [534]
\(\int x^{-1-n p} (a+b x^n)^p \, dx\) [535]
\(\int \genfrac {}{}{}{}{x^{-1-n p} (a+b x^n)^p}{c+d x^n} \, dx\) [536]
\(\int \genfrac {}{}{}{}{x^{-1-n p} (a+b x^n)^p}{(c+d x^n)^2} \, dx\) [537]
\(\int \genfrac {}{}{}{}{x^{-1-n p} (a+b x^n)^p}{(c+d x^n)^3} \, dx\) [538]
\(\int x^{-1-n (-1+p)} (a+b x^n)^p (c+d x^n)^2 \, dx\) [539]
\(\int x^{-1-n (-1+p)} (a+b x^n)^p (c+d x^n) \, dx\) [540]
\(\int x^{-1-n (-1+p)} (a+b x^n)^p \, dx\) [541]
\(\int \genfrac {}{}{}{}{x^{-1-n (-1+p)} (a+b x^n)^p}{c+d x^n} \, dx\) [542]
\(\int \genfrac {}{}{}{}{x^{-1-n (-1+p)} (a+b x^n)^p}{(c+d x^n)^2} \, dx\) [543]
\(\int \genfrac {}{}{}{}{x^{-1-n (-1+p)} (a+b x^n)^p}{(c+d x^n)^3} \, dx\) [544]
\(\int \genfrac {}{}{}{}{x^{-1-n (-1+p)} (a+b x^n)^p}{(c+d x^n)^4} \, dx\) [545]
\(\int x^{-1-n (-2+p)} (a+b x^n)^p (c+d x^n)^2 \, dx\) [546]
\(\int x^{-1-n (-2+p)} (a+b x^n)^p (c+d x^n) \, dx\) [547]
\(\int x^{-1-n (-2+p)} (a+b x^n)^p \, dx\) [548]
\(\int \genfrac {}{}{}{}{x^{-1-n (-2+p)} (a+b x^n)^p}{c+d x^n} \, dx\) [549]
\(\int \genfrac {}{}{}{}{x^{-1-n (-2+p)} (a+b x^n)^p}{(c+d x^n)^2} \, dx\) [550]
\(\int \genfrac {}{}{}{}{x^{-1-n (-2+p)} (a+b x^n)^p}{(c+d x^n)^3} \, dx\) [551]
\(\int \genfrac {}{}{}{}{x^{-1-n (-2+p)} (a+b x^n)^p}{(c+d x^n)^4} \, dx\) [552]
\(\int \genfrac {}{}{}{}{x^{-1-n (-2+p)} (a+b x^n)^p}{(c+d x^n)^5} \, dx\) [553]
\(\int x^{-1-n (-3+p)} (a+b x^n)^p (c+d x^n)^2 \, dx\) [554]
\(\int x^{-1-n (-3+p)} (a+b x^n)^p (c+d x^n) \, dx\) [555]
\(\int x^{-1-n (-3+p)} (a+b x^n)^p \, dx\) [556]
\(\int \genfrac {}{}{}{}{x^{-1-n (-3+p)} (a+b x^n)^p}{c+d x^n} \, dx\) [557]
\(\int \genfrac {}{}{}{}{x^{-1-n (-3+p)} (a+b x^n)^p}{(c+d x^n)^2} \, dx\) [558]
\(\int \genfrac {}{}{}{}{x^{-1-n (-3+p)} (a+b x^n)^p}{(c+d x^n)^3} \, dx\) [559]
\(\int \genfrac {}{}{}{}{x^{-1-n (-3+p)} (a+b x^n)^p}{(c+d x^n)^4} \, dx\) [560]
\(\int \genfrac {}{}{}{}{x^{-1-n (-3+p)} (a+b x^n)^p}{(c+d x^n)^5} \, dx\) [561]
\(\int \genfrac {}{}{}{}{x^{-1-n (-3+p)} (a+b x^n)^p}{(c+d x^n)^6} \, dx\) [562]
\(\int x^m (2+b x^n)^p (3+d x^n)^q \, dx\) [563]
\(\int (e x)^m (a+b x^n)^p (c+d x^n)^q \, dx\) [564]
\(\int x^{-1-n (3+2 p)} (a+b x^n)^p (c+d x^n)^p \, dx\) [565]
\(\int x^{-1-n (2+2 p)} (a+b x^n)^p (c+d x^n)^p \, dx\) [566]
\(\int x^{-1-n (1+2 p)} (a+b x^n)^p (c+d x^n)^p \, dx\) [567]
\(\int x^{-1-2 n p} (a+b x^n)^p (c+d x^n)^p \, dx\) [568]
\(\int x^{-1-n (-1+2 p)} (a+b x^n)^p (c+d x^n)^p \, dx\) [569]
\(\int x^{-1+3 n} (a+b x^n)^p (c+d x^n)^q \, dx\) [570]
\(\int x^{-1+2 n} (a+b x^n)^p (c+d x^n)^q \, dx\) [571]
\(\int x^{-1+n} (a+b x^n)^p (c+d x^n)^q \, dx\) [572]
\(\int \genfrac {}{}{}{}{(a+b x^n)^p (c+d x^n)^q}{x} \, dx\) [573]
\(\int x^{-1-n} (a+b x^n)^p (c+d x^n)^q \, dx\) [574]
\(\int x^{-1-2 n} (a+b x^n)^p (c+d x^n)^q \, dx\) [575]
\(\int x^2 (-a+b x^n)^p (a+b x^n)^p \, dx\) [576]
\(\int x (-a+b x^n)^p (a+b x^n)^p \, dx\) [577]
\(\int (-a+b x^n)^p (a+b x^n)^p \, dx\) [578]
\(\int \genfrac {}{}{}{}{(-a+b x^n)^p (a+b x^n)^p}{x} \, dx\) [579]
\(\int \genfrac {}{}{}{}{(-a+b x^n)^p (a+b x^n)^p}{x^2} \, dx\) [580]
\(\int \genfrac {}{}{}{}{a+b (e+f x)^2}{\sqrt {e g+f g x} (c+d (e+f x)^2)} \, dx\) [581]
\(\int \genfrac {}{}{}{}{a+b e^2+2 b e f x+b f^2 x^2}{\sqrt {e g+f g x} (c+d (e+f x)^2)} \, dx\) [582]
\(\int \genfrac {}{}{}{}{a+b (e+f x)^2}{\sqrt {e g+f g x} (c+d e^2+2 d e f x+d f^2 x^2)} \, dx\) [583]
\(\int \genfrac {}{}{}{}{a+b e^2+2 b e f x+b f^2 x^2}{\sqrt {e g+f g x} (c+d e^2+2 d e f x+d f^2 x^2)} \, dx\) [584]
\(\int \genfrac {}{}{}{}{a e+b e x}{\sqrt {c+d (a+b x)^3} (4 c+d (a+b x)^3)} \, dx\) [585]
\(\int \genfrac {}{}{}{}{a e+b e x}{\sqrt {c+a^3 d+3 a^2 b d x+3 a b^2 d x^2+b^3 d x^3} (4 c+d (a+b x)^3)} \, dx\) [586]
\(\int \genfrac {}{}{}{}{a e+b e x}{(4 c+a^3 d+3 a^2 b d x+3 a b^2 d x^2+b^3 d x^3) \sqrt {c+d (a+b x)^3}} \, dx\) [587]
\(\int \genfrac {}{}{}{}{a e+b e x}{\sqrt {c+a^3 d+3 a^2 b d x+3 a b^2 d x^2+b^3 d x^3} (4 c+a^3 d+3 a^2 b d x+3 a b^2 d x^2+b^3 d x^3)} \, dx\) [588]
\(\int \genfrac {}{}{}{}{\sqrt {b-\genfrac {}{}{}{}{a}{x}} x^m}{\sqrt {a-b x}} \, dx\) [589]
\(\int \genfrac {}{}{}{}{\sqrt {b-\genfrac {}{}{}{}{a}{x}} x^2}{\sqrt {a-b x}} \, dx\) [590]
\(\int \genfrac {}{}{}{}{\sqrt {b-\genfrac {}{}{}{}{a}{x}} x}{\sqrt {a-b x}} \, dx\) [591]
\(\int \genfrac {}{}{}{}{\sqrt {b-\genfrac {}{}{}{}{a}{x}}}{\sqrt {a-b x}} \, dx\) [592]
\(\int \genfrac {}{}{}{}{\sqrt {b-\genfrac {}{}{}{}{a}{x}}}{x \sqrt {a-b x}} \, dx\) [593]
\(\int \genfrac {}{}{}{}{\sqrt {b-\genfrac {}{}{}{}{a}{x}}}{x^2 \sqrt {a-b x}} \, dx\) [594]
\(\int (a+\genfrac {}{}{}{}{b}{x})^m (c+d x)^n \, dx\) [595]
\(\int (a+\genfrac {}{}{}{}{b}{x})^m (c+d x)^3 \, dx\) [596]
\(\int (a+\genfrac {}{}{}{}{b}{x})^m (c+d x)^2 \, dx\) [597]
\(\int (a+\genfrac {}{}{}{}{b}{x})^m (c+d x) \, dx\) [598]
\(\int (a+\genfrac {}{}{}{}{b}{x})^m \, dx\) [599]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^m}{c+d x} \, dx\) [600]