Chapter 3
Listing of integrals

 3.1 \(\int \cot ^4(x) \, dx\)
 3.2 \(\int \frac{1}{x^4 (1+x^2)} \, dx\)
 3.3 \(\int \frac{x+x^2}{\sqrt{x}} \, dx\)
 3.4 \(\int \cos (x) \, dx\)
 3.5 \(\int e^{x^2} x \, dx\)
 3.6 \(\int \sec ^2(x) \tan (x) \, dx\)
 3.7 \(\int x \sqrt{1+x^2} \, dx\)
 3.8 \(\int e^x \sin (x) \, dx\)
 3.9 \(\int \cot (x) \csc ^3(x) \, dx\)
 3.10 \(\int \sin (e^x) \, dx\)
 3.11 \(\int \frac{\sin (y)}{y} \, dy\)
 3.12 \(\int (e^x+\sin (x)) \, dx\)
 3.13 \(\int (e^{x^2}+2 e^{x^2} x^2) \, dx\)
 3.14 \(\int (e^x+x)^2 \, dx\)
 3.15 \(\int (2 e^x+e^{2 x}+x^2) \, dx\)
 3.16 \(\int \cos (x) \sin (x) \, dx\)
 3.17 \(\int e^{x^2} x \, dx\)
 3.18 \(\int x \sqrt{1+x^2} \, dx\)
 3.19 \(\int \frac{e^x}{1+e^x} \, dx\)
 3.20 \(\int x^{3/2} \, dx\)
 3.21 \(\int \cos (3+2 x) \, dx\)
 3.22 \(\int 2 e^{2 x} y z \, dx\)
 3.23 \(\int e^x \cos ^2(e^x) \sin (e^x) \, dx\)
 3.24 \(\int x \sqrt{1+x} \, dx\)
 3.25 \(\int \frac{1}{-1+x^4} \, dx\)
 3.26 \(\int \frac{e^x}{2+3 e^{2 x}} \, dx\)
 3.27 \(\int \frac{e^{2 x}}{A+B e^{4 x}} \, dx\)
 3.28 \(\int \frac{e^{1+x}}{1+e^x} \, dx\)
 3.29 \(\int (10 e)^x \, dx\)
 3.30 \(\int x^3 \sin (x^2) \, dx\)
 3.31 \(\int \frac{x^7}{1+x^{12}} \, dx\)
 3.32 \(\int x^{3 a} \sin (x^{2 a}) \, dx\)
 3.33 \(\int \cos (\sqrt{x}) \, dx\)
 3.34 \(\int x \sqrt{1+x} \, dx\)
 3.35 \(\int \frac{1}{\sqrt [3]{x}+\sqrt{x}} \, dx\)
 3.36 \(\int \sqrt{\frac{1+x}{3+2 x}} \, dx\)
 3.37 \(\int \frac{x^4}{(1-x^2)^{5/2}} \, dx\)
 3.38 \(\int \sqrt{x} (1+x)^{5/2} \, dx\)
 3.39 \(\int \frac{x^4}{(1-x^2)^{5/2}} \, dx\)
 3.40 \(\int \frac{\sqrt{A^2+B^2-B^2 y^2}}{1-y^2} \, dy\)
 3.41 \(\int \sin ^2(x) \, dx\)
 3.42 \(\int \csc (x) \sqrt{A^2+B^2 \sin ^2(x)} \, dx\)
 3.43 \(\int \frac{1}{1+\cos (x)} \, dx\)
 3.44 \(\int e^x x \, dx\)
 3.45 \(\int \frac{e^x x}{(1+x)^2} \, dx\)
 3.46 \(\int e^{x^2} (1+2 x^2) \, dx\)
 3.47 \(\int e^{x^2} \, dx\)
 3.48 \(\int \frac{e^x}{x} \, dx\)
 3.49 \(\int \frac{x}{1+x^3} \, dx\)
 3.50 \(\int \frac{1}{-1+x^6} \, dx\)
 3.51 \(\int \frac{1}{A^4-A^2 B^2+(-A^2+B^2) x^2} \, dx\)
 3.52 \(\int x \log (x) \, dx\)
 3.53 \(\int x^2 \sin ^{-1}(x) \, dx\)
 3.54 \(\int \frac{1}{1+2 x+x^2} \, dx\)
 3.55 \(\int \frac{\log (x)}{(1+\log (x))^2} \, dx\)
 3.56 \(\int \frac{1}{x (1+\log ^2(x))} \, dx\)
 3.57 \(\int \frac{1}{\log (x)} \, dx\)
 3.58 \(\int x (\cos (x)+\sin (x)) \, dx\)
 3.59 \(\int e^{-x} (e^x+x) \, dx\)
 3.60 \(\int (1+e^x)^2 x \, dx\)
 3.61 \(\int x \cos (x) \, dx\)
 3.62 \(\int \cos (\sqrt{x}) \, dx\)
 3.63 \(\int x \cos (x) \, dx\)
 3.64 \(\int x \log ^2(x) \, dx\)
 3.65 \(\int \cos (x) (1+\sin ^3(x)) \, dx\)
 3.66 \(\int \frac{1}{x (1+\log ^2(x))} \, dx\)
 3.67 \(\int \frac{1}{\sqrt{1-x^2} (1+\sin ^{-1}(x)^2)} \, dx\)
 3.68 \(\int \frac{\sin (x)}{\cos (x)+\sin (x)} \, dx\)
 3.69 \(\int -\frac{\sqrt{A^2+B^2 (1-y^2)}}{1-y^2} \, dy\)
 3.70 \(\int \frac{(-A^2-B^2) \cos ^2(z)}{B (1-\frac{(A^2+B^2) \sin ^2(z)}{B^2})} \, dz\)
 3.71 \(\int -\frac{A^2+B^2}{B (1+w^2)^2 (1-\frac{(A^2+B^2) w^2}{B^2 (1+w^2)})} \, dw\)
 3.72 \(\int -\frac{B (A^2+B^2)}{(1+w^2) (B^2-A^2 w^2)} \, dw\)
 3.73 \(\int \frac{x^4}{(1-x^2)^{5/2}} \, dx\)
 3.74 \(\int \tan ^4(y) \, dy\)
 3.75 \(\int \frac{z^4}{1+z^2} \, dz\)
 3.76 \(\int e^{x^2} (1+2 x^2) \, dx\)
 3.77 \(\int \frac{e^{x^2} (1+4 x^2+x^3+5 x^4+2 x^6)}{(1+x^2)^2} \, dx\)
 3.78 \(\int e^{-1-x} \, dx\)
 3.79 \(\int (\frac{1}{x}+x) \log (x) \, dx\)
 3.80 \(\int \frac{x}{1+x^4} \, dx\)
 3.81 \(\int \frac{x^5}{1+x^4} \, dx\)
 3.82 \(\int \frac{1}{1+\tan ^2(x)} \, dx\)
 3.83 \(\int \frac{x^4}{(1-x^2)^{5/2}} \, dx\)
 3.84 \(\int -\frac{x^2}{(1-x^2)^{3/2}} \, dx\)
 3.85 \(\int e^x \sin (x) \, dx\)
 3.86 \(\int \frac{1}{x} \, dx\)
 3.87 \(\int \frac{\sec (2 t)}{1+\sec ^2(t)+3 \tan (t)} \, dt\)
 3.88 \(\int \cos ^2(x) \, dx\)
 3.89 \(\int \frac{1+x^2}{\sqrt{x}} \, dx\)
 3.90 \(\int \frac{x}{\sqrt{5+2 x+x^2}} \, dx\)
 3.91 \(\int \cos (x) \sin ^2(x) \, dx\)
 3.92 \(\int \frac{e^x}{1+e^x} \, dx\)
 3.93 \(\int \frac{e^{2 x}}{1+e^x} \, dx\)
 3.94 \(\int \frac{1}{1-\cos (x)} \, dx\)
 3.95 \(\int \sec ^2(x) \tan (x) \, dx\)
 3.96 \(\int x \log (x) \, dx\)
 3.97 \(\int \cos (x) \sin (x) \, dx\)
 3.98 \(\int \frac{1+x}{\sqrt{2 x-x^2}} \, dx\)
 3.99 \(\int \frac{2 e^x}{2+3 e^{2 x}} \, dx\)
 3.100 \(\int \frac{x^4}{(1-x^2)^{5/2}} \, dx\)
 3.101 \(\int \frac{e^{6 x}}{1+e^{4 x}} \, dx\)
 3.102 \(\int \log (2+3 x^2) \, dx\)
 3.103 \(\int \frac{1}{r \sqrt{-a^2+2 H r^2}} \, dx\)
 3.104 \(\int \frac{1}{r \sqrt{-a^2-e^2+2 H r^2}} \, dx\)
 3.105 \(\int \frac{1}{r \sqrt{-a^2+2 H r^2-2 K r^4}} \, dx\)
 3.106 \(\int \frac{1}{r \sqrt{-a^2-e^2+2 H r^2-2 K r^4}} \, dx\)
 3.107 \(\int \frac{1}{r \sqrt{-a^2-2 K r+2 H r^2}} \, dx\)
 3.108 \(\int \frac{1}{r \sqrt{-a^2-e^2-2 K r+2 H r^2}} \, dx\)
 3.109 \(\int \frac{r}{\sqrt{-a^2+2 e r^2}} \, dx\)
 3.110 \(\int \frac{r}{\sqrt{-a^2-e^2+2 e r^2}} \, dx\)
 3.111 \(\int \frac{r}{\sqrt{-a^2+2 e r^2-2 K r^4}} \, dx\)
 3.112 \(\int \frac{r}{\sqrt{-a^2-e^2+2 e r^2-2 K r^4}} \, dx\)
 3.113 \(\int \frac{r}{\sqrt{-a^2-e^2-2 K r+2 H r^2}} \, dx\)