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Chapter 3
Listing of integrals
3.1
\(\int \frac{(a+b x)^3 (A+B x+C x^2+D x^3)}{\sqrt{c+d x}} \, dx\)
3.2
\(\int \frac{(a+b x)^2 (A+B x+C x^2+D x^3)}{\sqrt{c+d x}} \, dx\)
3.3
\(\int \frac{(a+b x) (A+B x+C x^2+D x^3)}{\sqrt{c+d x}} \, dx\)
3.4
\(\int \frac{A+B x+C x^2+D x^3}{\sqrt{c+d x}} \, dx\)
3.5
\(\int \frac{A+B x+C x^2+D x^3}{(a+b x) \sqrt{c+d x}} \, dx\)
3.6
\(\int \frac{A+B x+C x^2+D x^3}{(a+b x)^2 \sqrt{c+d x}} \, dx\)
3.7
\(\int \frac{A+B x+C x^2+D x^3}{(a+b x)^3 \sqrt{c+d x}} \, dx\)
3.8
\(\int \frac{A+B x+C x^2+D x^3}{(a+b x)^4 \sqrt{c+d x}} \, dx\)
3.9
\(\int \frac{A+B x+C x^2+D x^3}{(a+b x)^5 \sqrt{c+d x}} \, dx\)
3.10
\(\int \frac{(a+b x)^3 (A+B x+C x^2+D x^3)}{(c+d x)^{3/2}} \, dx\)
3.11
\(\int \frac{(a+b x)^2 (A+B x+C x^2+D x^3)}{(c+d x)^{3/2}} \, dx\)
3.12
\(\int \frac{(a+b x) (A+B x+C x^2+D x^3)}{(c+d x)^{3/2}} \, dx\)
3.13
\(\int \frac{A+B x+C x^2+D x^3}{(c+d x)^{3/2}} \, dx\)
3.14
\(\int \frac{A+B x+C x^2+D x^3}{(a+b x) (c+d x)^{3/2}} \, dx\)
3.15
\(\int \frac{A+B x+C x^2+D x^3}{(a+b x)^2 (c+d x)^{3/2}} \, dx\)
3.16
\(\int \frac{A+B x+C x^2+D x^3}{(a+b x)^3 (c+d x)^{3/2}} \, dx\)
3.17
\(\int \frac{A+B x+C x^2+D x^3}{(a+b x)^4 (c+d x)^{3/2}} \, dx\)
3.18
\(\int \frac{(a+b x)^3 (A+B x+C x^2+D x^3)}{(c+d x)^{5/2}} \, dx\)
3.19
\(\int \frac{(a+b x)^2 (A+B x+C x^2+D x^3)}{(c+d x)^{5/2}} \, dx\)
3.20
\(\int \frac{(a+b x) (A+B x+C x^2+D x^3)}{(c+d x)^{5/2}} \, dx\)
3.21
\(\int \frac{A+B x+C x^2+D x^3}{(c+d x)^{5/2}} \, dx\)
3.22
\(\int \frac{A+B x+C x^2+D x^3}{(a+b x) (c+d x)^{5/2}} \, dx\)
3.23
\(\int \frac{A+B x+C x^2+D x^3}{(a+b x)^2 (c+d x)^{5/2}} \, dx\)
3.24
\(\int \frac{A+B x+C x^2+D x^3}{(a+b x)^3 (c+d x)^{5/2}} \, dx\)
3.25
\(\int (a+b x)^3 (c+d x)^n (A+B x+C x^2+D x^3) \, dx\)
3.26
\(\int (a+b x)^2 (c+d x)^n (A+B x+C x^2+D x^3) \, dx\)
3.27
\(\int (a+b x) (c+d x)^n (A+B x+C x^2+D x^3) \, dx\)
3.28
\(\int (c+d x)^n (A+B x+C x^2+D x^3) \, dx\)
3.29
\(\int \frac{(c+d x)^n (A+B x+C x^2+D x^3)}{a+b x} \, dx\)
3.30
\(\int \frac{(c+d x)^n (A+B x+C x^2+D x^3)}{(a+b x)^2} \, dx\)
3.31
\(\int \frac{(c+d x)^n (A+B x+C x^2+D x^3)}{(a+b x)^3} \, dx\)
3.32
\(\int (a+b x)^m (A+B x) (c+d x)^n \, dx\)
3.33
\(\int (a+b x)^m (c+d x)^n (A+B x+C x^2) \, dx\)
3.34
\(\int (a+b x)^m (c+d x)^n (A+B x+C x^2+D x^3) \, dx\)
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