3.8.1 \(\int \sqrt {-a+b e^{c+d x}} \, dx\) [701]
3.8.2 \(\int e^{6 x} \sin (3 x) \, dx\) [702]
3.8.3 \(\int \genfrac {}{}{}{}{e^{3 x}}{1+e^{2 x}} \, dx\) [703]
3.8.4 \(\int \genfrac {}{}{}{}{e^{3 x}}{-1+e^{2 x}} \, dx\) [704]
3.8.5 \(\int \genfrac {}{}{}{}{e^{-x}}{\sqrt {1+e^{2 x}}} \, dx\) [705]
3.8.6 \(\int \genfrac {}{}{}{}{e^x}{-1-8 e^x+e^{2 x}} \, dx\) [706]
3.8.7 \(\int e^{7 x} x^3 \, dx\) [707]
3.8.8 \(\int e^{8-2 x} x^3 \, dx\) [708]
3.8.9 \(\int e^x \sqrt {9-e^{2 x}} \, dx\) [709]
3.8.10 \(\int e^{6 x} \sqrt {9-e^{2 x}} \, dx\) [710]
3.8.11 \(\int \genfrac {}{}{}{}{e^{6 x}}{(9-e^x)^{5/2}} \, dx\) [711]
3.8.12 \(\int (2-7 e^{x^4})^5 x^3 \, dx\) [712]
3.8.13 \(\int e^{x^2} \sqrt {1-e^{2 x^2}} x \, dx\) [713]
3.8.14 \(\int e^{x^3} (1-e^{4 x^3})^2 x^2 \, dx\) [714]
3.8.15 \(\int e^{e^x+x} \, dx\) [715]
3.8.16 \(\int e^{e^{e^x}+e^x+x} \, dx\) [716]
3.8.17 \(\int (e^{-x}+e^x)^2 \, dx\) [717]
3.8.18 \(\int \genfrac {}{}{}{}{1}{e^{-x}+e^x} \, dx\) [718]
3.8.19 \(\int \genfrac {}{}{}{}{1}{(e^{-x}+e^x)^2} \, dx\) [719]
3.8.20 \(\int \genfrac {}{}{}{}{1}{-e^{-x}+e^x} \, dx\) [720]
3.8.21 \(\int \genfrac {}{}{}{}{1}{(-e^{-x}+e^x)^2} \, dx\) [721]
3.8.22 \(\int e^x (-e^{-x}+e^x)^2 \, dx\) [722]
3.8.23 \(\int e^x (-e^{-x}+e^x)^3 \, dx\) [723]
3.8.24 \(\int \genfrac {}{}{}{}{1+4^x}{1+2^x} \, dx\) [724]
3.8.25 \(\int \genfrac {}{}{}{}{1+4^x}{1+2^{-x}} \, dx\) [725]
3.8.26 \(\int (\genfrac {}{}{}{}{e^{(a+x)^2}}{x^2}-\genfrac {}{}{}{}{2 a e^{(a+x)^2}}{x}) \, dx\) [726]
3.8.27 \(\int e^{-x^2} (x^4+x^6+x^8) \, dx\) [727]
3.8.28 \(\int \genfrac {}{}{}{}{1}{-e^x+e^{3 x}} \, dx\) [728]
3.8.29 \(\int \genfrac {}{}{}{}{e^x (-5+x+x^2)}{(-1+x)^2} \, dx\) [729]
3.8.30 \(\int \genfrac {}{}{}{}{e^{x^2} x^3}{(1+x^2)^2} \, dx\) [730]
3.8.31 \(\int \genfrac {}{}{}{}{e^{3 x}}{\sqrt {25+16 e^{2 x}}} \, dx\) [731]
3.8.32 \(\int \genfrac {}{}{}{}{1+e^x}{\sqrt {e^x+x}} \, dx\) [732]
3.8.33 \(\int \genfrac {}{}{}{}{1+e^x}{e^x+x} \, dx\) [733]
3.8.34 \(\int \genfrac {}{}{}{}{e^{x^2}}{x^2} \, dx\) [734]
3.8.35 \(\int \genfrac {}{}{}{}{e^{x^2} (1+4 x^4)}{x^2} \, dx\) [735]
3.8.36 \(\int \sqrt {f^x} (a+b x)^2 \, dx\) [736]
3.8.37 \(\int 3^{1+x^2} x \, dx\) [737]
3.8.38 \(\int \genfrac {}{}{}{}{2^{\sqrt {x}}}{\sqrt {x}} \, dx\) [738]
3.8.39 \(\int \genfrac {}{}{}{}{2^{\genfrac {}{}{}{}{1}{x}}}{x^2} \, dx\) [739]
3.8.40 \(\int (2^{-x}+2^x) \, dx\) [740]
3.8.41 \(\int e^{-4 x} (2-3 x+x^2) \, dx\) [741]
3.8.42 \(\int (k^{x/2}+x^{\sqrt {k}}) \, dx\) [742]
3.8.43 \(\int \genfrac {}{}{}{}{10^{\sqrt {x}}}{\sqrt {x}} \, dx\) [743]
3.8.44 \(\int (\genfrac {}{}{}{}{1}{\sqrt {e^x+x}}+\genfrac {}{}{}{}{e^x}{\sqrt {e^x+x}}) \, dx\) [744]
3.8.45 \(\int (\genfrac {}{}{}{}{(1+e^x) x}{\sqrt {e^x+x}}+2 \sqrt {e^x+x}) \, dx\) [745]
3.8.46 \(\int (\genfrac {}{}{}{}{x}{\sqrt {e^x+x}}+\genfrac {}{}{}{}{e^x x}{\sqrt {e^x+x}}+2 \sqrt {e^x+x}) \, dx\) [746]
3.8.47 \(\int \genfrac {}{}{}{}{(1+e^x) x}{\sqrt {e^x+x}} \, dx\) [747]
3.8.48 \(\int (\genfrac {}{}{}{}{x}{\sqrt {e^x+x}}+\genfrac {}{}{}{}{e^x x}{\sqrt {e^x+x}}) \, dx\) [748]
3.8.49 \(\int \genfrac {}{}{}{}{e^x x}{\sqrt {e^x+x}} \, dx\) [749]
3.8.50 \(\int (\genfrac {}{}{}{}{x^2 (5 e^x+3 x^2)}{5 \sqrt {5 e^x+x^3}}+\genfrac {}{}{}{}{4}{5} x \sqrt {5 e^x+x^3}) \, dx\) [750]
3.8.51 \(\int \genfrac {}{}{}{}{e^x x^2}{\sqrt {5 e^x+x^3}} \, dx\) [751]
3.8.52 \(\int -\genfrac {}{}{}{}{1+e^x}{\sqrt [3]{e^x+x}} \, dx\) [752]
3.8.53 \(\int (-\genfrac {}{}{}{}{1}{\sqrt [3]{e^x+x}}+\genfrac {}{}{}{}{x}{\sqrt [3]{e^x+x}}-(e^x+x)^{2/3}) \, dx\) [753]
3.8.54 \(\int \genfrac {}{}{}{}{x}{\sqrt [3]{e^x+x}} \, dx\) [754]
3.8.55 \(\int \genfrac {}{}{}{}{5 x+e^x (3+2 x)}{\sqrt [3]{e^x+x}} \, dx\) [755]
3.8.56 \(\int (\genfrac {}{}{}{}{2 x}{\sqrt [3]{e^x+x}}+\genfrac {}{}{}{}{2 e^x x}{\sqrt [3]{e^x+x}}+3 (e^x+x)^{2/3}) \, dx\) [756]
3.8.57 \(\int e^x (-e^{-x}+e^x) (e^{-x}+e^x)^2 \, dx\) [757]
3.8.58 \(\int \genfrac {}{}{}{}{x}{e^x+x} \, dx\) [758]
3.8.59 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {e^x+x}} \, dx\) [759]
3.8.60 \(\int \genfrac {}{}{}{}{e^x}{e^x+x} \, dx\) [760]
3.8.61 \(\int \genfrac {}{}{}{}{e^x}{e^x+x^2} \, dx\) [761]
3.8.62 \(\int (a F^{c+d x})^m (b F^{e+f x})^n \, dx\) [762]
3.8.63 \(\int e^{a+c+b x^n+d x^n} \, dx\) [763]
3.8.64 \(\int f^{a+b x^n} g^{c+d x^n} \, dx\) [764]
3.8.65 \(\int e^{x^n} x^m \, dx\) [765]
3.8.66 \(\int f^{x^n} x^m \, dx\) [766]
3.8.67 \(\int e^{(a+b x)^n} (a+b x)^m \, dx\) [767]
3.8.68 \(\int f^{(a+b x)^n} (a+b x)^m \, dx\) [768]
3.8.69 \(\int e^{(a+b x)^3} x \, dx\) [769]
3.8.70 \(\int \genfrac {}{}{}{}{5 x^2+3 \sqrt [3]{e^x+x}+e^x (3 x+2 x^2)}{x \sqrt [3]{e^x+x}} \, dx\) [770]