3.7 Integrals 601 to 700

  3.7.1 \(\int \genfrac {}{}{}{}{F^{f (a+b \log ^2(c (d+e x)^n))}}{(g+h x)^3} \, dx\) [601]
  3.7.2 \(\int F^{f (a+b \log (c (d+e x)^n))^2} (d g+e g x)^m \, dx\) [602]
  3.7.3 \(\int F^{f (a+b \log (c (d+e x)^n))^2} (d g+e g x)^2 \, dx\) [603]
  3.7.4 \(\int F^{f (a+b \log (c (d+e x)^n))^2} (d g+e g x) \, dx\) [604]
  3.7.5 \(\int F^{f (a+b \log (c (d+e x)^n))^2} \, dx\) [605]
  3.7.6 \(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{d g+e g x} \, dx\) [606]
  3.7.7 \(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{(d g+e g x)^2} \, dx\) [607]
  3.7.8 \(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{(d g+e g x)^3} \, dx\) [608]
  3.7.9 \(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x)^m \, dx\) [609]
  3.7.10 \(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x)^3 \, dx\) [610]
  3.7.11 \(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x)^2 \, dx\) [611]
  3.7.12 \(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x) \, dx\) [612]
  3.7.13 \(\int F^{f (a+b \log (c (d+e x)^n))^2} \, dx\) [613]
  3.7.14 \(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{g+h x} \, dx\) [614]
  3.7.15 \(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{(g+h x)^2} \, dx\) [615]
  3.7.16 \(\int \genfrac {}{}{}{}{F^{f (a+b \log (c (d+e x)^n))^2}}{(g+h x)^3} \, dx\) [616]
  3.7.17 \(\int F^{a+b x+c x^3} (b+3 c x^2) \, dx\) [617]
  3.7.18 \(\int \genfrac {}{}{}{}{F^{\genfrac {}{}{}{}{1}{a+b x+c x^2}} (b+2 c x)}{(a+b x+c x^2)^2} \, dx\) [618]
  3.7.19 \(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^m \, dx\) [619]
  3.7.20 \(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^3 \, dx\) [620]
  3.7.21 \(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^2 \, dx\) [621]
  3.7.22 \(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2) \, dx\) [622]
  3.7.23 \(\int e^{a+b x+c x^2} (b+2 c x) \, dx\) [623]
  3.7.24 \(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{a+b x+c x^2} \, dx\) [624]
  3.7.25 \(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^2} \, dx\) [625]
  3.7.26 \(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^3} \, dx\) [626]
  3.7.27 \(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^{7/2} \, dx\) [627]
  3.7.28 \(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^{5/2} \, dx\) [628]
  3.7.29 \(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^{3/2} \, dx\) [629]
  3.7.30 \(\int e^{a+b x+c x^2} (b+2 c x) \sqrt {a+b x+c x^2} \, dx\) [630]
  3.7.31 \(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{\sqrt {a+b x+c x^2}} \, dx\) [631]
  3.7.32 \(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{3/2}} \, dx\) [632]
  3.7.33 \(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{5/2}} \, dx\) [633]
  3.7.34 \(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{7/2}} \, dx\) [634]
  3.7.35 \(\int \genfrac {}{}{}{}{e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{9/2}} \, dx\) [635]
  3.7.36 \(\int \genfrac {}{}{}{}{e^{-x}}{\sqrt {1-e^{-2 x}}} \, dx\) [636]
  3.7.37 \(\int \genfrac {}{}{}{}{e^x}{4+e^{2 x}} \, dx\) [637]
  3.7.38 \(\int \genfrac {}{}{}{}{e^x}{1-e^{2 x}} \, dx\) [638]
  3.7.39 \(\int \genfrac {}{}{}{}{e^x}{3-4 e^{2 x}} \, dx\) [639]
  3.7.40 \(\int e^x \sqrt {3-4 e^{2 x}} \, dx\) [640]
  3.7.41 \(\int e^{x^2} x^3 \, dx\) [641]
  3.7.42 \(\int e^x \sqrt {1-e^{2 x}} \, dx\) [642]
  3.7.43 \(\int \genfrac {}{}{}{}{e^x}{\sqrt {1+e^x+e^{2 x}}} \, dx\) [643]
  3.7.44 \(\int \genfrac {}{}{}{}{e^x}{-4+e^{2 x}} \, dx\) [644]
  3.7.45 \(\int e^{2-x^2} x \, dx\) [645]
  3.7.46 \(\int (e^x-x^e) \, dx\) [646]
  3.7.47 \(\int \genfrac {}{}{}{}{-1+e^{2 x}}{3+e^{2 x}} \, dx\) [647]
  3.7.48 \(\int \genfrac {}{}{}{}{e^x}{\sqrt {1-e^{2 x}}} \, dx\) [648]
  3.7.49 \(\int \genfrac {}{}{}{}{e^{2 x}}{1+e^{4 x}} \, dx\) [649]
  3.7.50 \(\int \genfrac {}{}{}{}{1}{-3 e^x+e^{2 x}} \, dx\) [650]
  3.7.51 \(\int \genfrac {}{}{}{}{e^x (-2+e^x)}{1+e^x} \, dx\) [651]
  3.7.52 \(\int \genfrac {}{}{}{}{e^x}{-1+e^{2 x}} \, dx\) [652]
  3.7.53 \(\int \genfrac {}{}{}{}{e^x}{1+e^{2 x}} \, dx\) [653]
  3.7.54 \(\int \genfrac {}{}{}{}{e^{-x}+e^x}{-e^{-x}+e^x} \, dx\) [654]
  3.7.55 \(\int \genfrac {}{}{}{}{-e^{-x}+e^x}{e^{-x}+e^x} \, dx\) [655]
  3.7.56 \(\int \genfrac {}{}{}{}{e^{-2 x}+e^{2 x}}{-e^{-2 x}+e^{2 x}} \, dx\) [656]
  3.7.57 \(\int \genfrac {}{}{}{}{e^x}{\sqrt {1+e^{2 x}}} \, dx\) [657]
  3.7.58 \(\int \genfrac {}{}{}{}{e^{\sqrt {4+x}}}{\sqrt {4+x}} \, dx\) [658]
  3.7.59 \(\int \genfrac {}{}{}{}{x}{\sqrt {-1+e^{2 x^2}}} \, dx\) [659]
  3.7.60 \(\int e^x \sqrt {9+e^{2 x}} \, dx\) [660]
  3.7.61 \(\int e^x \sqrt {1+e^{2 x}} \, dx\) [661]
  3.7.62 \(\int \genfrac {}{}{}{}{e^{x^2} x}{1+e^{2 x^2}} \, dx\) [662]
  3.7.63 \(\int e^{x^{3/2}} x^2 \, dx\) [663]
  3.7.64 \(\int \genfrac {}{}{}{}{e^x}{\sqrt {-3+e^{2 x}}} \, dx\) [664]
  3.7.65 \(\int \genfrac {}{}{}{}{e^x}{16-e^{2 x}} \, dx\) [665]
  3.7.66 \(\int \genfrac {}{}{}{}{e^{5 x}}{1+e^{10 x}} \, dx\) [666]
  3.7.67 \(\int \genfrac {}{}{}{}{e^{4 x}}{\sqrt {16+e^{8 x}}} \, dx\) [667]
  3.7.68 \(\int e^{4 x^3} x^2 \cos (7 x^3) \, dx\) [668]
  3.7.69 \(\int e^{1+x^2} x \, dx\) [669]
  3.7.70 \(\int e^{1+x^3} x^2 \, dx\) [670]
  3.7.71 \(\int \genfrac {}{}{}{}{e^{\sqrt {x}}}{\sqrt {x}} \, dx\) [671]
  3.7.72 \(\int \genfrac {}{}{}{}{e^{\sqrt [3]{x}}}{x^{2/3}} \, dx\) [672]
  3.7.73 \(\int e^{3 x} (-8+2 x^3+x^5) \, dx\) [673]
  3.7.74 \(\int (e^x+x)^2 \, dx\) [674]
  3.7.75 \(\int e^{-4 x} (e^x+e^{2 x}+e^{3 x}) \, dx\) [675]
  3.7.76 \(\int \genfrac {}{}{}{}{e^x}{1+2 e^x+e^{2 x}} \, dx\) [676]
  3.7.77 \(\int e^{-x} \cos (3 x) \, dx\) [677]
  3.7.78 \(\int \genfrac {}{}{}{}{e^{2 x}}{2+3 e^x+e^{2 x}} \, dx\) [678]
  3.7.79 \(\int \genfrac {}{}{}{}{e^{2 x}}{1+e^x} \, dx\) [679]
  3.7.80 \(\int e^{3 x} \cos (5 x) \, dx\) [680]
  3.7.81 \(\int e^x \text {sech}(e^x) \, dx\) [681]
  3.7.82 \(\int \genfrac {}{}{}{}{e^{-x}}{1+2 e^x} \, dx\) [682]
  3.7.83 \(\int e^x \cos (4+3 x) \, dx\) [683]
  3.7.84 \(\int e^x \sec ^3(1-e^x) \, dx\) [684]
  3.7.85 \(\int (e^{-x}+e^x) x \, dx\) [685]
  3.7.86 \(\int \genfrac {}{}{}{}{e^x}{2+3 e^x+e^{2 x}} \, dx\) [686]
  3.7.87 \(\int \genfrac {}{}{}{}{e^{2 x}}{\sqrt [3]{1+e^x}} \, dx\) [687]
  3.7.88 \(\int \genfrac {}{}{}{}{e^{2 x}}{\sqrt [4]{1+e^x}} \, dx\) [688]
  3.7.89 \(\int \genfrac {}{}{}{}{-e^x+2 e^{2 x}}{\sqrt {-1-6 e^x+3 e^{2 x}}} \, dx\) [689]
  3.7.90 \(\int e^x (-5 x+x^2) \, dx\) [690]
  3.7.91 \(\int e^{3 x} (-x+x^2) \, dx\) [691]
  3.7.92 \(\int e^{x^x} x^{2 x} (1+\log (x)) \, dx\) [692]
  3.7.93 \(\int \genfrac {}{}{}{}{e^{5 x}+e^{7 x}}{e^{-x}+e^x} \, dx\) [693]
  3.7.94 \(\int x^{-2-\genfrac {}{}{}{}{1}{x}} (1-\log (x)) \, dx\) [694]
  3.7.95 \(\int (a+b e^x)^2 \, dx\) [695]
  3.7.96 \(\int (a+b e^x)^3 \, dx\) [696]
  3.7.97 \(\int (a+b e^x)^4 \, dx\) [697]
  3.7.98 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b e^{c+d x}}} \, dx\) [698]
  3.7.99 \(\int \genfrac {}{}{}{}{1}{\sqrt {-a+b e^{c+d x}}} \, dx\) [699]
  3.7.100 \(\int \sqrt {a+b e^{c+d x}} \, dx\) [700]