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Chapter 3
Listing of integrals
3.1
\(\int \frac{\sqrt{1+x^8} (1+2 x^8)}{x+2 x^9+x^{17}} \, dx\)
3.2
\(\int \frac{1}{1+x^2} \, dx\)
3.3
\(\int \frac{1}{x \sqrt{1+x^8}} \, dx\)
3.4
\(\int \frac{x}{\sqrt{1-x^3}} \, dx\)
3.5
\(\int \frac{1}{x \sqrt{1-x^3}} \, dx\)
3.6
\(\int \frac{x}{\sqrt{-71-96 x+10 x^2+x^4}} \, dx\)
3.7
\(\int \cot ^2(x) (x-\tan (x)) \, dx\)
3.8
\(\int (1+x \tan (x)+\tan ^2(x)) \, dx\)
3.9
\(\int \frac{\sin (x)}{x} \, dx\)
3.10
\(\int \frac{5 x^2+3 \sqrt [3]{e^x+x}+e^x (3 x+2 x^2)}{x \sqrt [3]{e^x+x}} \, dx\)
3.11
\(\int (\frac{1}{x}+\frac{1+\frac{1}{x}}{(x+\log (x))^{3/2}}) \, dx\)
3.12
\(\int \frac{x^2+2 x \log (x)+\log ^2(x)+(1+x) \sqrt{x+\log (x)}}{x^3+2 x^2 \log (x)+x \log ^2(x)} \, dx\)
3.13
\(\int \frac{-x^2-\log (x)+2 \log ^2(x)}{-x^2 \log (x)+\log ^3(x)} \, dx\)
3.14
\(\int \frac{6-3 x^2+x^4}{4+5 x^2-5 x^4+x^6} \, dx\)
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