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3.6
Integrals 501 to 569
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x^3 (d+e x^2)^2} \, dx\) [501]
\(\int \genfrac {}{}{}{}{x^4 (a+b \text {arccosh}(c x))}{(d+e x^2)^2} \, dx\) [502]
\(\int \genfrac {}{}{}{}{x^2 (a+b \text {arccosh}(c x))}{(d+e x^2)^2} \, dx\) [503]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{(d+e x^2)^2} \, dx\) [504]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x^2 (d+e x^2)^2} \, dx\) [505]
\(\int \genfrac {}{}{}{}{x^5 (a+b \text {arccosh}(c x))}{(d+e x^2)^3} \, dx\) [506]
\(\int \genfrac {}{}{}{}{x^3 (a+b \text {arccosh}(c x))}{(d+e x^2)^3} \, dx\) [507]
\(\int \genfrac {}{}{}{}{x (a+b \text {arccosh}(c x))}{(d+e x^2)^3} \, dx\) [508]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x (d+e x^2)^3} \, dx\) [509]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{x^3 (d+e x^2)^3} \, dx\) [510]
\(\int \genfrac {}{}{}{}{x^4 (a+b \text {arccosh}(c x))}{(d+e x^2)^3} \, dx\) [511]
\(\int \genfrac {}{}{}{}{x^2 (a+b \text {arccosh}(c x))}{(d+e x^2)^3} \, dx\) [512]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{(d+e x^2)^3} \, dx\) [513]
\(\int \sqrt {d+e x^2} (a+b \text {arccosh}(c x)) \, dx\) [514]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{\sqrt {d+e x^2}} \, dx\) [515]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{(d+e x^2)^{3/2}} \, dx\) [516]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{(d+e x^2)^{5/2}} \, dx\) [517]
\(\int \genfrac {}{}{}{}{a+b \text {arccosh}(c x)}{(d+e x^2)^{7/2}} \, dx\) [518]
\(\int (f x)^m (d+e x^2)^3 (a+b \text {arccosh}(c x)) \, dx\) [519]
\(\int (f x)^m (d+e x^2)^2 (a+b \text {arccosh}(c x)) \, dx\) [520]
\(\int (f x)^m (d+e x^2) (a+b \text {arccosh}(c x)) \, dx\) [521]
\(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {arccosh}(c x))}{d+e x^2} \, dx\) [522]
\(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {arccosh}(c x))}{(d+e x^2)^2} \, dx\) [523]
\(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {arccosh}(c x))}{(d+e x^2)^3} \, dx\) [524]
\(\int (d+e x^2)^3 (a+b \text {arccosh}(c x))^2 \, dx\) [525]
\(\int (d+e x^2)^2 (a+b \text {arccosh}(c x))^2 \, dx\) [526]
\(\int (d+e x^2) (a+b \text {arccosh}(c x))^2 \, dx\) [527]
\(\int (a+b \text {arccosh}(c x))^2 \, dx\) [528]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c x))^2}{d+e x^2} \, dx\) [529]
\(\int \sqrt {d+e x^2} (a+b \text {arccosh}(c x))^2 \, dx\) [530]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c x))^2}{\sqrt {d+e x^2}} \, dx\) [531]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c x))^2}{(d+e x^2)^{3/2}} \, dx\) [532]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c x))^2}{(d+e x^2)^{5/2}} \, dx\) [533]
\(\int \genfrac {}{}{}{}{(d+e x^2)^2}{a+b \text {arccosh}(c x)} \, dx\) [534]
\(\int \genfrac {}{}{}{}{d+e x^2}{a+b \text {arccosh}(c x)} \, dx\) [535]
\(\int \genfrac {}{}{}{}{1}{a+b \text {arccosh}(c x)} \, dx\) [536]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) (a+b \text {arccosh}(c x))} \, dx\) [537]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 (a+b \text {arccosh}(c x))} \, dx\) [538]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2}}{a+b \text {arccosh}(c x)} \, dx\) [539]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x^2} (a+b \text {arccosh}(c x))} \, dx\) [540]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{3/2} (a+b \text {arccosh}(c x))} \, dx\) [541]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{5/2} (a+b \text {arccosh}(c x))} \, dx\) [542]
\(\int \genfrac {}{}{}{}{(d+e x^2)^2}{(a+b \text {arccosh}(c x))^2} \, dx\) [543]
\(\int \genfrac {}{}{}{}{d+e x^2}{(a+b \text {arccosh}(c x))^2} \, dx\) [544]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(c x))^2} \, dx\) [545]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) (a+b \text {arccosh}(c x))^2} \, dx\) [546]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 (a+b \text {arccosh}(c x))^2} \, dx\) [547]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2}}{(a+b \text {arccosh}(c x))^2} \, dx\) [548]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x^2} (a+b \text {arccosh}(c x))^2} \, dx\) [549]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{3/2} (a+b \text {arccosh}(c x))^2} \, dx\) [550]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{5/2} (a+b \text {arccosh}(c x))^2} \, dx\) [551]
\(\int (d+e x^2)^2 \sqrt {a+b \text {arccosh}(c x)} \, dx\) [552]
\(\int (d+e x^2) \sqrt {a+b \text {arccosh}(c x)} \, dx\) [553]
\(\int \sqrt {a+b \text {arccosh}(c x)} \, dx\) [554]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \text {arccosh}(c x)}}{d+e x^2} \, dx\) [555]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \text {arccosh}(c x)}}{(d+e x^2)^2} \, dx\) [556]
\(\int (d+e x^2) (a+b \text {arccosh}(c x))^{3/2} \, dx\) [557]
\(\int (a+b \text {arccosh}(c x))^{3/2} \, dx\) [558]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c x))^{3/2}}{d+e x^2} \, dx\) [559]
\(\int \genfrac {}{}{}{}{(a+b \text {arccosh}(c x))^{3/2}}{(d+e x^2)^2} \, dx\) [560]
\(\int \genfrac {}{}{}{}{(d+e x^2)^2}{\sqrt {a+b \text {arccosh}(c x)}} \, dx\) [561]
\(\int \genfrac {}{}{}{}{d+e x^2}{\sqrt {a+b \text {arccosh}(c x)}} \, dx\) [562]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \text {arccosh}(c x)}} \, dx\) [563]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) \sqrt {a+b \text {arccosh}(c x)}} \, dx\) [564]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 \sqrt {a+b \text {arccosh}(c x)}} \, dx\) [565]
\(\int \genfrac {}{}{}{}{d+e x^2}{(a+b \text {arccosh}(c x))^{3/2}} \, dx\) [566]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arccosh}(c x))^{3/2}} \, dx\) [567]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) (a+b \text {arccosh}(c x))^{3/2}} \, dx\) [568]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 (a+b \text {arccosh}(c x))^{3/2}} \, dx\) [569]
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