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3.4
Integrals 301 to 400
\(\int \genfrac {}{}{}{}{x}{\sqrt {1-c^2 x^2} (a+b \text {arccosh}(c x))} \, dx\) [301]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-c^2 x^2} (a+b \text {arccosh}(c x))} \, dx\) [302]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {1-c^2 x^2} (a+b \text {arccosh}(c x))} \, dx\) [303]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {1-c^2 x^2} (a+b \text {arccosh}(c x))} \, dx\) [304]
\(\int \genfrac {}{}{}{}{x^2}{(1-c^2 x^2)^{3/2} (a+b \text {arccosh}(c x))} \, dx\) [305]
\(\int \genfrac {}{}{}{}{x}{(1-c^2 x^2)^{3/2} (a+b \text {arccosh}(c x))} \, dx\) [306]
\(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2)^{3/2} (a+b \text {arccosh}(c x))} \, dx\) [307]
\(\int \genfrac {}{}{}{}{1}{x (1-c^2 x^2)^{3/2} (a+b \text {arccosh}(c x))} \, dx\) [308]
\(\int \genfrac {}{}{}{}{1}{x^2 (1-c^2 x^2)^{3/2} (a+b \text {arccosh}(c x))} \, dx\) [309]
\(\int \genfrac {}{}{}{}{x^m (1-c^2 x^2)^{3/2}}{a+b \text {arccosh}(c x)} \, dx\) [310]
\(\int \genfrac {}{}{}{}{x^m \sqrt {1-c^2 x^2}}{a+b \text {arccosh}(c x)} \, dx\) [311]
\(\int \genfrac {}{}{}{}{x^m}{\sqrt {1-c^2 x^2} (a+b \text {arccosh}(c x))} \, dx\) [312]
\(\int \genfrac {}{}{}{}{x^m}{(1-c^2 x^2)^{3/2} (a+b \text {arccosh}(c x))} \, dx\) [313]
\(\int \genfrac {}{}{}{}{x^m}{(1-c^2 x^2)^{5/2} (a+b \text {arccosh}(c x))} \, dx\) [314]
\(\int \genfrac {}{}{}{}{(c-a^2 c x^2)^3}{\text {arccosh}(a x)^2} \, dx\) [315]
\(\int \genfrac {}{}{}{}{(c-a^2 c x^2)^2}{\text {arccosh}(a x)^2} \, dx\) [316]
\(\int \genfrac {}{}{}{}{c-a^2 c x^2}{\text {arccosh}(a x)^2} \, dx\) [317]
\(\int \genfrac {}{}{}{}{1}{(c-a^2 c x^2) \text {arccosh}(a x)^2} \, dx\) [318]
\(\int \genfrac {}{}{}{}{1}{(c-a^2 c x^2)^2 \text {arccosh}(a x)^2} \, dx\) [319]
\(\int \genfrac {}{}{}{}{x^3 \sqrt {1-c^2 x^2}}{(a+b \text {arccosh}(c x))^2} \, dx\) [320]
\(\int \genfrac {}{}{}{}{x^2 \sqrt {1-c^2 x^2}}{(a+b \text {arccosh}(c x))^2} \, dx\) [321]
\(\int \genfrac {}{}{}{}{x \sqrt {1-c^2 x^2}}{(a+b \text {arccosh}(c x))^2} \, dx\) [322]
\(\int \genfrac {}{}{}{}{\sqrt {1-c^2 x^2}}{(a+b \text {arccosh}(c x))^2} \, dx\) [323]
\(\int \genfrac {}{}{}{}{\sqrt {1-c^2 x^2}}{x (a+b \text {arccosh}(c x))^2} \, dx\) [324]
\(\int \genfrac {}{}{}{}{\sqrt {1-c^2 x^2}}{x^2 (a+b \text {arccosh}(c x))^2} \, dx\) [325]
\(\int \genfrac {}{}{}{}{\sqrt {1-c^2 x^2}}{x^3 (a+b \text {arccosh}(c x))^2} \, dx\) [326]
\(\int \genfrac {}{}{}{}{\sqrt {1-c^2 x^2}}{x^4 (a+b \text {arccosh}(c x))^2} \, dx\) [327]
\(\int \genfrac {}{}{}{}{x^2 (1-c^2 x^2)^{3/2}}{(a+b \text {arccosh}(c x))^2} \, dx\) [328]
\(\int \genfrac {}{}{}{}{x (1-c^2 x^2)^{3/2}}{(a+b \text {arccosh}(c x))^2} \, dx\) [329]
\(\int \genfrac {}{}{}{}{(1-c^2 x^2)^{3/2}}{(a+b \text {arccosh}(c x))^2} \, dx\) [330]
\(\int \genfrac {}{}{}{}{(1-c^2 x^2)^{3/2}}{x (a+b \text {arccosh}(c x))^2} \, dx\) [331]
\(\int \genfrac {}{}{}{}{(1-c^2 x^2)^{3/2}}{x^2 (a+b \text {arccosh}(c x))^2} \, dx\) [332]
\(\int \genfrac {}{}{}{}{(1-c^2 x^2)^{3/2}}{x^3 (a+b \text {arccosh}(c x))^2} \, dx\) [333]
\(\int \genfrac {}{}{}{}{(1-c^2 x^2)^{3/2}}{x^4 (a+b \text {arccosh}(c x))^2} \, dx\) [334]
\(\int \genfrac {}{}{}{}{x^2 (1-c^2 x^2)^{5/2}}{(a+b \text {arccosh}(c x))^2} \, dx\) [335]
\(\int \genfrac {}{}{}{}{x (1-c^2 x^2)^{5/2}}{(a+b \text {arccosh}(c x))^2} \, dx\) [336]
\(\int \genfrac {}{}{}{}{(1-c^2 x^2)^{5/2}}{(a+b \text {arccosh}(c x))^2} \, dx\) [337]
\(\int \genfrac {}{}{}{}{(1-c^2 x^2)^{5/2}}{x (a+b \text {arccosh}(c x))^2} \, dx\) [338]
\(\int \genfrac {}{}{}{}{(1-c^2 x^2)^{5/2}}{x^2 (a+b \text {arccosh}(c x))^2} \, dx\) [339]
\(\int \genfrac {}{}{}{}{(1-c^2 x^2)^{5/2}}{x^3 (a+b \text {arccosh}(c x))^2} \, dx\) [340]
\(\int \genfrac {}{}{}{}{(1-c^2 x^2)^{5/2}}{x^4 (a+b \text {arccosh}(c x))^2} \, dx\) [341]
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {1-c^2 x^2} (a+b \text {arccosh}(c x))^2} \, dx\) [342]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {1-c^2 x^2} (a+b \text {arccosh}(c x))^2} \, dx\) [343]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {1-c^2 x^2} (a+b \text {arccosh}(c x))^2} \, dx\) [344]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {1-c^2 x^2} (a+b \text {arccosh}(c x))^2} \, dx\) [345]
\(\int \genfrac {}{}{}{}{x}{\sqrt {1-c^2 x^2} (a+b \text {arccosh}(c x))^2} \, dx\) [346]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-c^2 x^2} (a+b \text {arccosh}(c x))^2} \, dx\) [347]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {1-c^2 x^2} (a+b \text {arccosh}(c x))^2} \, dx\) [348]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {1-c^2 x^2} (a+b \text {arccosh}(c x))^2} \, dx\) [349]
\(\int \genfrac {}{}{}{}{x^3}{(1-c^2 x^2)^{3/2} (a+b \text {arccosh}(c x))^2} \, dx\) [350]
\(\int \genfrac {}{}{}{}{x^2}{(1-c^2 x^2)^{3/2} (a+b \text {arccosh}(c x))^2} \, dx\) [351]
\(\int \genfrac {}{}{}{}{x}{(1-c^2 x^2)^{3/2} (a+b \text {arccosh}(c x))^2} \, dx\) [352]
\(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2)^{3/2} (a+b \text {arccosh}(c x))^2} \, dx\) [353]
\(\int \genfrac {}{}{}{}{1}{x (1-c^2 x^2)^{3/2} (a+b \text {arccosh}(c x))^2} \, dx\) [354]
\(\int \genfrac {}{}{}{}{1}{x^2 (1-c^2 x^2)^{3/2} (a+b \text {arccosh}(c x))^2} \, dx\) [355]
\(\int \genfrac {}{}{}{}{x^4}{(1-c^2 x^2)^{5/2} (a+b \text {arccosh}(c x))^2} \, dx\) [356]
\(\int \genfrac {}{}{}{}{x^3}{(1-c^2 x^2)^{5/2} (a+b \text {arccosh}(c x))^2} \, dx\) [357]
\(\int \genfrac {}{}{}{}{x^2}{(1-c^2 x^2)^{5/2} (a+b \text {arccosh}(c x))^2} \, dx\) [358]
\(\int \genfrac {}{}{}{}{x}{(1-c^2 x^2)^{5/2} (a+b \text {arccosh}(c x))^2} \, dx\) [359]
\(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2)^{5/2} (a+b \text {arccosh}(c x))^2} \, dx\) [360]
\(\int \genfrac {}{}{}{}{1}{x (1-c^2 x^2)^{5/2} (a+b \text {arccosh}(c x))^2} \, dx\) [361]
\(\int \genfrac {}{}{}{}{1}{x^2 (1-c^2 x^2)^{5/2} (a+b \text {arccosh}(c x))^2} \, dx\) [362]
\(\int \genfrac {}{}{}{}{(f x)^m (1-c^2 x^2)^{3/2}}{(a+b \text {arccosh}(c x))^2} \, dx\) [363]
\(\int \genfrac {}{}{}{}{(f x)^m \sqrt {1-c^2 x^2}}{(a+b \text {arccosh}(c x))^2} \, dx\) [364]
\(\int \genfrac {}{}{}{}{(f x)^m}{\sqrt {1-c^2 x^2} (a+b \text {arccosh}(c x))^2} \, dx\) [365]
\(\int \genfrac {}{}{}{}{(f x)^m}{(1-c^2 x^2)^{3/2} (a+b \text {arccosh}(c x))^2} \, dx\) [366]
\(\int \genfrac {}{}{}{}{(f x)^m}{(1-c^2 x^2)^{5/2} (a+b \text {arccosh}(c x))^2} \, dx\) [367]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-a^2 x^2} \text {arccosh}(a x)^3} \, dx\) [368]
\(\int \genfrac {}{}{}{}{x^3 (d-c^2 d x^2)}{(a+b \text {arccosh}(c x))^{3/2}} \, dx\) [369]
\(\int \genfrac {}{}{}{}{x^2 (d-c^2 d x^2)}{(a+b \text {arccosh}(c x))^{3/2}} \, dx\) [370]
\(\int \genfrac {}{}{}{}{x (d-c^2 d x^2)}{(a+b \text {arccosh}(c x))^{3/2}} \, dx\) [371]
\(\int \genfrac {}{}{}{}{d-c^2 d x^2}{(a+b \text {arccosh}(c x))^{3/2}} \, dx\) [372]
\(\int \genfrac {}{}{}{}{d-c^2 d x^2}{x (a+b \text {arccosh}(c x))^{3/2}} \, dx\) [373]
\(\int \genfrac {}{}{}{}{x^3 (d-c^2 d x^2)^2}{(a+b \text {arccosh}(c x))^{3/2}} \, dx\) [374]
\(\int \genfrac {}{}{}{}{x^2 (d-c^2 d x^2)^2}{(a+b \text {arccosh}(c x))^{3/2}} \, dx\) [375]
\(\int \genfrac {}{}{}{}{x (d-c^2 d x^2)^2}{(a+b \text {arccosh}(c x))^{3/2}} \, dx\) [376]
\(\int \genfrac {}{}{}{}{(d-c^2 d x^2)^2}{(a+b \text {arccosh}(c x))^{3/2}} \, dx\) [377]
\(\int \genfrac {}{}{}{}{(d-c^2 d x^2)^2}{x (a+b \text {arccosh}(c x))^{3/2}} \, dx\) [378]
\(\int (c-a^2 c x^2)^{3/2} \sqrt {\text {arccosh}(a x)} \, dx\) [379]
\(\int \sqrt {c-a^2 c x^2} \sqrt {\text {arccosh}(a x)} \, dx\) [380]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arccosh}(a x)}}{\sqrt {c-a^2 c x^2}} \, dx\) [381]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arccosh}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\) [382]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arccosh}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\) [383]
\(\int (c-a^2 c x^2)^{3/2} \text {arccosh}(a x)^{3/2} \, dx\) [384]
\(\int \sqrt {c-a^2 c x^2} \text {arccosh}(a x)^{3/2} \, dx\) [385]
\(\int \genfrac {}{}{}{}{\text {arccosh}(a x)^{3/2}}{\sqrt {c-a^2 c x^2}} \, dx\) [386]
\(\int \genfrac {}{}{}{}{\text {arccosh}(a x)^{3/2}}{(c-a^2 c x^2)^{3/2}} \, dx\) [387]
\(\int (c-a^2 c x^2)^{3/2} \text {arccosh}(a x)^{5/2} \, dx\) [388]
\(\int \sqrt {c-a^2 c x^2} \text {arccosh}(a x)^{5/2} \, dx\) [389]
\(\int \genfrac {}{}{}{}{\text {arccosh}(a x)^{5/2}}{\sqrt {c-a^2 c x^2}} \, dx\) [390]
\(\int \genfrac {}{}{}{}{\text {arccosh}(a x)^{5/2}}{(c-a^2 c x^2)^{3/2}} \, dx\) [391]
\(\int (a^2-x^2)^{3/2} \sqrt {\text {arccosh}(\genfrac {}{}{}{}{x}{a})} \, dx\) [392]
\(\int \sqrt {a^2-x^2} \sqrt {\text {arccosh}(\genfrac {}{}{}{}{x}{a})} \, dx\) [393]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arccosh}(\genfrac {}{}{}{}{x}{a})}}{\sqrt {a^2-x^2}} \, dx\) [394]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arccosh}(\genfrac {}{}{}{}{x}{a})}}{(a^2-x^2)^{3/2}} \, dx\) [395]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arccosh}(\genfrac {}{}{}{}{x}{a})}}{(a^2-x^2)^{5/2}} \, dx\) [396]
\(\int (a^2-x^2)^{3/2} \text {arccosh}(\genfrac {}{}{}{}{x}{a})^{3/2} \, dx\) [397]
\(\int \sqrt {a^2-x^2} \text {arccosh}(\genfrac {}{}{}{}{x}{a})^{3/2} \, dx\) [398]
\(\int \genfrac {}{}{}{}{\text {arccosh}(\genfrac {}{}{}{}{x}{a})^{3/2}}{\sqrt {a^2-x^2}} \, dx\) [399]
\(\int \genfrac {}{}{}{}{\text {arccosh}(\genfrac {}{}{}{}{x}{a})^{3/2}}{(a^2-x^2)^{3/2}} \, dx\) [400]
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