3.6 Integrals 501 to 600

\(\int F^{a+b \log (c+d x^n)} x^2 \, dx\) [501]
\(\int F^{a+b \log (c+d x^n)} x \, dx\) [502]
\(\int F^{a+b \log (c+d x^n)} \, dx\) [503]
\(\int \genfrac {}{}{}{}{F^{a+b \log (c+d x^n)}}{x} \, dx\) [504]
\(\int \genfrac {}{}{}{}{F^{a+b \log (c+d x^n)}}{x^2} \, dx\) [505]
\(\int \genfrac {}{}{}{}{F^{a+b \log (c+d x^n)}}{x^3} \, dx\) [506]
\(\int F^{a+b \log (c+d x^n)} (d x)^m \, dx\) [507]
\(\int x^{b \log (x)} \, dx\) [508]
\(\int e^{\log ^2((d+e x)^n)} (d+e x)^m \, dx\) [509]
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} (d g+e g x)^m \, dx\) [510]
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} (d g+e g x)^2 \, dx\) [511]
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} (d g+e g x) \, dx\) [512]
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} \, dx\) [513]
\(\int \genfrac {}{}{}{}{F^{f (a+b \log ^2(c (d+e x)^n))}}{d g+e g x} \, dx\) [514]
\(\int \genfrac {}{}{}{}{F^{f (a+b \log ^2(c (d+e x)^n))}}{(d g+e g x)^2} \, dx\) [515]
\(\int \genfrac {}{}{}{}{F^{f (a+b \log ^2(c (d+e x)^n))}}{(d g+e g x)^3} \, dx\) [516]
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} (g+h x)^m \, dx\) [517]
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} (g+h x)^3 \, dx\) [518]
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} (g+h x)^2 \, dx\) [519]
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} (g+h x) \, dx\) [520]
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} \, dx\) [521]
\(\int \genfrac {}{}{}{}{F^{f (a+b \log ^2(c (d+e x)^n))}}{g+h x} \, dx\) [522]
\(\int \genfrac {}{}{}{}{F^{f (a+b \log ^2(c (d+e x)^n))}}{(g+h x)^2} \, dx\) [523]
\(\int \genfrac {}{}{}{}{F^{f (a+b \log ^2(c (d+e x)^n))}}{(g+h x)^3} \, dx\) [524]
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (d g+e g x)^m \, dx\) [525]
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (d g+e g x)^2 \, dx\) [526]
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (d g+e g x) \, dx\) [527]
\(\int F^{f (a+b \log (c (d+e x)^n))^2} \, dx\) [528]
\(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{d g+e g x} \, dx\) [529]
\(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{(d g+e g x)^2} \, dx\) [530]
\(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{(d g+e g x)^3} \, dx\) [531]
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x)^m \, dx\) [532]
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x)^3 \, dx\) [533]
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x)^2 \, dx\) [534]
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x) \, dx\) [535]
\(\int F^{f (a+b \log (c (d+e x)^n))^2} \, dx\) [536]
\(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{g+h x} \, dx\) [537]
\(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{(g+h x)^2} \, dx\) [538]
\(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{(g+h x)^3} \, dx\) [539]
\(\int F^{a+b x+c x^3} (b+3 c x^2) \, dx\) [540]
\(\int \genfrac {}{}{}{}{F^{\genfrac {}{}{}{}{1}{a+b x+c x^2}} (b+2 c x)}{(a+b x+c x^2)^2} \, dx\) [541]
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^m \, dx\) [542]
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^3 \, dx\) [543]
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^2 \, dx\) [544]
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2) \, dx\) [545]
\(\int e^{a+b x+c x^2} (b+2 c x) \, dx\) [546]
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{a+b x+c x^2} \, dx\) [547]
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^2} \, dx\) [548]
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^3} \, dx\) [549]
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^{7/2} \, dx\) [550]
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^{5/2} \, dx\) [551]
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^{3/2} \, dx\) [552]
\(\int e^{a+b x+c x^2} (b+2 c x) \sqrt {a+b x+c x^2} \, dx\) [553]
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{\sqrt {a+b x+c x^2}} \, dx\) [554]
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{3/2}} \, dx\) [555]
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{5/2}} \, dx\) [556]
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{7/2}} \, dx\) [557]
\(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{9/2}} \, dx\) [558]
\(\int \genfrac {}{}{}{}{e^{-x}}{\sqrt {1-e^{-2 x}}} \, dx\) [559]
\(\int \genfrac {}{}{}{}{e^x}{4+e^{2 x}} \, dx\) [560]
\(\int \genfrac {}{}{}{}{e^x}{1-e^{2 x}} \, dx\) [561]
\(\int \genfrac {}{}{}{}{e^x}{3-4 e^{2 x}} \, dx\) [562]
\(\int e^x \sqrt {3-4 e^{2 x}} \, dx\) [563]
\(\int e^{x^2} x^3 \, dx\) [564]
\(\int e^x \sqrt {1-e^{2 x}} \, dx\) [565]
\(\int \genfrac {}{}{}{}{e^x}{\sqrt {1+e^x+e^{2 x}}} \, dx\) [566]
\(\int \genfrac {}{}{}{}{e^x}{-4+e^{2 x}} \, dx\) [567]
\(\int e^{2-x^2} x \, dx\) [568]
\(\int (e^x-x^e) \, dx\) [569]
\(\int \genfrac {}{}{}{}{-1+e^{2 x}}{3+e^{2 x}} \, dx\) [570]
\(\int \genfrac {}{}{}{}{e^x}{\sqrt {1-e^{2 x}}} \, dx\) [571]
\(\int \genfrac {}{}{}{}{e^{2 x}}{1+e^{4 x}} \, dx\) [572]
\(\int \genfrac {}{}{}{}{1}{-3 e^x+e^{2 x}} \, dx\) [573]
\(\int \genfrac {}{}{}{}{e^x (-2+e^x)}{1+e^x} \, dx\) [574]
\(\int \genfrac {}{}{}{}{e^x}{-1+e^{2 x}} \, dx\) [575]
\(\int \genfrac {}{}{}{}{e^x}{1+e^{2 x}} \, dx\) [576]
\(\int \genfrac {}{}{}{}{e^{-x}+e^x}{-e^{-x}+e^x} \, dx\) [577]
\(\int \genfrac {}{}{}{}{-e^{-x}+e^x}{e^{-x}+e^x} \, dx\) [578]
\(\int \genfrac {}{}{}{}{e^{-2 x}+e^{2 x}}{-e^{-2 x}+e^{2 x}} \, dx\) [579]
\(\int \genfrac {}{}{}{}{e^x}{\sqrt {1+e^{2 x}}} \, dx\) [580]
\(\int \genfrac {}{}{}{}{e^{\sqrt {4+x}}}{\sqrt {4+x}} \, dx\) [581]
\(\int \genfrac {}{}{}{}{x}{\sqrt {-1+e^{2 x^2}}} \, dx\) [582]
\(\int e^x \sqrt {9+e^{2 x}} \, dx\) [583]
\(\int e^x \sqrt {1+e^{2 x}} \, dx\) [584]
\(\int \genfrac {}{}{}{}{e^{x^2} x}{1+e^{2 x^2}} \, dx\) [585]
\(\int e^{x^{3/2}} x^2 \, dx\) [586]
\(\int \genfrac {}{}{}{}{e^x}{\sqrt {-3+e^{2 x}}} \, dx\) [587]
\(\int \genfrac {}{}{}{}{e^x}{16-e^{2 x}} \, dx\) [588]
\(\int \genfrac {}{}{}{}{e^{5 x}}{1+e^{10 x}} \, dx\) [589]
\(\int \genfrac {}{}{}{}{e^{4 x}}{\sqrt {16+e^{8 x}}} \, dx\) [590]
\(\int e^{4 x^3} x^2 \cos (7 x^3) \, dx\) [591]
\(\int e^{1+x^2} x \, dx\) [592]
\(\int e^{1+x^3} x^2 \, dx\) [593]
\(\int \genfrac {}{}{}{}{e^{\sqrt {x}}}{\sqrt {x}} \, dx\) [594]
\(\int \genfrac {}{}{}{}{e^{\sqrt [3]{x}}}{x^{2/3}} \, dx\) [595]
\(\int e^{3 x} (-8+2 x^3+x^5) \, dx\) [596]
\(\int (e^x+x)^2 \, dx\) [597]
\(\int e^{-4 x} (e^x+e^{2 x}+e^{3 x}) \, dx\) [598]
\(\int \genfrac {}{}{}{}{e^x}{1+2 e^x+e^{2 x}} \, dx\) [599]
\(\int e^{-x} \cos (3 x) \, dx\) [600]