3.9.1 \(\int e^{4 \text {arctanh}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^p \, dx\) [801]
3.9.2 \(\int e^{3 \text {arctanh}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^p \, dx\) [802]
3.9.3 \(\int e^{2 \text {arctanh}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^p \, dx\) [803]
3.9.4 \(\int e^{\text {arctanh}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^p \, dx\) [804]
3.9.5 \(\int e^{-\text {arctanh}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^p \, dx\) [805]
3.9.6 \(\int e^{-2 \text {arctanh}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^p \, dx\) [806]
3.9.7 \(\int e^{-3 \text {arctanh}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^p \, dx\) [807]
3.9.8 \(\int e^{\text {arctanh}(x)} x \sqrt {1+x} \sin (x) \, dx\) [808]
3.9.9 \(\int e^{\text {arctanh}(x)} \sqrt {1+x} \sin (x) \, dx\) [809]
3.9.10 \(\int e^{\text {arctanh}(x)} \sqrt {1-x} x \sin (x) \, dx\) [810]
3.9.11 \(\int e^{\text {arctanh}(x)} \sqrt {1-x} \sin (x) \, dx\) [811]
3.9.12 \(\int e^{\text {arctanh}(x)} x (1+x)^{3/2} \sin (x) \, dx\) [812]
3.9.13 \(\int e^{\text {arctanh}(x)} (1+x)^{3/2} \sin (x) \, dx\) [813]
3.9.14 \(\int e^{\text {arctanh}(x)} (1-x)^{3/2} x \sin (x) \, dx\) [814]
3.9.15 \(\int e^{\text {arctanh}(x)} (1-x)^{3/2} \sin (x) \, dx\) [815]
3.9.16 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(x)} x \sin (x)}{\sqrt {1+x}} \, dx\) [816]
3.9.17 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(x)} \sin (x)}{\sqrt {1+x}} \, dx\) [817]
3.9.18 \(\int e^{\text {arctanh}(a+b x)} x^3 \, dx\) [818]
3.9.19 \(\int e^{\text {arctanh}(a+b x)} x^2 \, dx\) [819]
3.9.20 \(\int e^{\text {arctanh}(a+b x)} x \, dx\) [820]
3.9.21 \(\int e^{\text {arctanh}(a+b x)} \, dx\) [821]
3.9.22 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)}}{x} \, dx\) [822]
3.9.23 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)}}{x^2} \, dx\) [823]
3.9.24 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)}}{x^3} \, dx\) [824]
3.9.25 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)}}{x^4} \, dx\) [825]
3.9.26 \(\int e^{2 \text {arctanh}(a+b x)} x^4 \, dx\) [826]
3.9.27 \(\int e^{2 \text {arctanh}(a+b x)} x^3 \, dx\) [827]
3.9.28 \(\int e^{2 \text {arctanh}(a+b x)} x^2 \, dx\) [828]
3.9.29 \(\int e^{2 \text {arctanh}(a+b x)} x \, dx\) [829]
3.9.30 \(\int e^{2 \text {arctanh}(a+b x)} \, dx\) [830]
3.9.31 \(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a+b x)}}{x} \, dx\) [831]
3.9.32 \(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a+b x)}}{x^2} \, dx\) [832]
3.9.33 \(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a+b x)}}{x^3} \, dx\) [833]
3.9.34 \(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a+b x)}}{x^4} \, dx\) [834]
3.9.35 \(\int e^{3 \text {arctanh}(a+b x)} x^3 \, dx\) [835]
3.9.36 \(\int e^{3 \text {arctanh}(a+b x)} x^2 \, dx\) [836]
3.9.37 \(\int e^{3 \text {arctanh}(a+b x)} x \, dx\) [837]
3.9.38 \(\int e^{3 \text {arctanh}(a+b x)} \, dx\) [838]
3.9.39 \(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a+b x)}}{x} \, dx\) [839]
3.9.40 \(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a+b x)}}{x^2} \, dx\) [840]
3.9.41 \(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a+b x)}}{x^3} \, dx\) [841]
3.9.42 \(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a+b x)}}{x^4} \, dx\) [842]
3.9.43 \(\int e^{-\text {arctanh}(a+b x)} x^3 \, dx\) [843]
3.9.44 \(\int e^{-\text {arctanh}(a+b x)} x^2 \, dx\) [844]
3.9.45 \(\int e^{-\text {arctanh}(a+b x)} x \, dx\) [845]
3.9.46 \(\int e^{-\text {arctanh}(a+b x)} \, dx\) [846]
3.9.47 \(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a+b x)}}{x} \, dx\) [847]
3.9.48 \(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a+b x)}}{x^2} \, dx\) [848]
3.9.49 \(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a+b x)}}{x^3} \, dx\) [849]
3.9.50 \(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a+b x)}}{x^4} \, dx\) [850]
3.9.51 \(\int e^{-2 \text {arctanh}(a+b x)} x^4 \, dx\) [851]
3.9.52 \(\int e^{-2 \text {arctanh}(a+b x)} x^3 \, dx\) [852]
3.9.53 \(\int e^{-2 \text {arctanh}(a+b x)} x^2 \, dx\) [853]
3.9.54 \(\int e^{-2 \text {arctanh}(a+b x)} x \, dx\) [854]
3.9.55 \(\int e^{-2 \text {arctanh}(a+b x)} \, dx\) [855]
3.9.56 \(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a+b x)}}{x} \, dx\) [856]
3.9.57 \(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a+b x)}}{x^2} \, dx\) [857]
3.9.58 \(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a+b x)}}{x^3} \, dx\) [858]
3.9.59 \(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a+b x)}}{x^4} \, dx\) [859]
3.9.60 \(\int e^{-3 \text {arctanh}(a+b x)} x^3 \, dx\) [860]
3.9.61 \(\int e^{-3 \text {arctanh}(a+b x)} x^2 \, dx\) [861]
3.9.62 \(\int e^{-3 \text {arctanh}(a+b x)} x \, dx\) [862]
3.9.63 \(\int e^{-3 \text {arctanh}(a+b x)} \, dx\) [863]
3.9.64 \(\int \genfrac {}{}{}{}{e^{-3 \text {arctanh}(a+b x)}}{x} \, dx\) [864]
3.9.65 \(\int \genfrac {}{}{}{}{e^{-3 \text {arctanh}(a+b x)}}{x^2} \, dx\) [865]
3.9.66 \(\int \genfrac {}{}{}{}{e^{-3 \text {arctanh}(a+b x)}}{x^3} \, dx\) [866]
3.9.67 \(\int \genfrac {}{}{}{}{e^{-3 \text {arctanh}(a+b x)}}{x^4} \, dx\) [867]
3.9.68 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(1+b x)}}{2+b x} \, dx\) [868]
3.9.69 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)} x^3}{1-a^2-2 a b x-b^2 x^2} \, dx\) [869]
3.9.70 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)} x^2}{1-a^2-2 a b x-b^2 x^2} \, dx\) [870]
3.9.71 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)} x}{1-a^2-2 a b x-b^2 x^2} \, dx\) [871]
3.9.72 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)}}{1-a^2-2 a b x-b^2 x^2} \, dx\) [872]
3.9.73 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)}}{x (1-a^2-2 a b x-b^2 x^2)} \, dx\) [873]
3.9.74 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)}}{x^2 (1-a^2-2 a b x-b^2 x^2)} \, dx\) [874]
3.9.75 \(\int e^{n \text {arctanh}(a+b x)} x^m \, dx\) [875]
3.9.76 \(\int e^{n \text {arctanh}(a+b x)} x^3 \, dx\) [876]
3.9.77 \(\int e^{n \text {arctanh}(a+b x)} x^2 \, dx\) [877]
3.9.78 \(\int e^{n \text {arctanh}(a+b x)} x \, dx\) [878]
3.9.79 \(\int e^{n \text {arctanh}(a+b x)} \, dx\) [879]
3.9.80 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a+b x)}}{x} \, dx\) [880]
3.9.81 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a+b x)}}{x^2} \, dx\) [881]
3.9.82 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a+b x)}}{x^3} \, dx\) [882]
3.9.83 \(\int e^{\text {arctanh}(a x)} (c-a^2 c x^2)^4 \, dx\) [883]
3.9.84 \(\int e^{\text {arctanh}(a x)} (c-a^2 c x^2)^3 \, dx\) [884]
3.9.85 \(\int e^{\text {arctanh}(a x)} (c-a^2 c x^2)^2 \, dx\) [885]
3.9.86 \(\int e^{\text {arctanh}(a x)} (c-a^2 c x^2) \, dx\) [886]
3.9.87 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^4}{c-a^2 c x^2} \, dx\) [887]
3.9.88 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^3}{c-a^2 c x^2} \, dx\) [888]
3.9.89 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^2}{c-a^2 c x^2} \, dx\) [889]
3.9.90 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x}{c-a^2 c x^2} \, dx\) [890]
3.9.91 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{c-a^2 c x^2} \, dx\) [891]
3.9.92 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x (c-a^2 c x^2)} \, dx\) [892]
3.9.93 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)} \, dx\) [893]
3.9.94 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^3 (c-a^2 c x^2)} \, dx\) [894]
3.9.95 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^4 (c-a^2 c x^2)} \, dx\) [895]
3.9.96 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^6}{(c-a^2 c x^2)^2} \, dx\) [896]
3.9.97 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^5}{(c-a^2 c x^2)^2} \, dx\) [897]
3.9.98 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^4}{(c-a^2 c x^2)^2} \, dx\) [898]
3.9.99 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^2} \, dx\) [899]
3.9.100 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^2} \, dx\) [900]