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Chapter 3
Listing of integrals
3.1
\(\int (d+e x)^4 (a+b \tan ^{-1}(c x)) \, dx\)
3.2
\(\int (d+e x)^3 (a+b \tan ^{-1}(c x)) \, dx\)
3.3
\(\int (d+e x)^2 (a+b \tan ^{-1}(c x)) \, dx\)
3.4
\(\int (d+e x) (a+b \tan ^{-1}(c x)) \, dx\)
3.5
\(\int \frac{a+b \tan ^{-1}(c x)}{d+e x} \, dx\)
3.6
\(\int \frac{a+b \tan ^{-1}(c x)}{(d+e x)^2} \, dx\)
3.7
\(\int \frac{a+b \tan ^{-1}(c x)}{(d+e x)^3} \, dx\)
3.8
\(\int \frac{a+b \tan ^{-1}(c x)}{(d+e x)^4} \, dx\)
3.9
\(\int (d+e x)^3 (a+b \tan ^{-1}(c x))^2 \, dx\)
3.10
\(\int (d+e x)^2 (a+b \tan ^{-1}(c x))^2 \, dx\)
3.11
\(\int (d+e x) (a+b \tan ^{-1}(c x))^2 \, dx\)
3.12
\(\int \frac{(a+b \tan ^{-1}(c x))^2}{d+e x} \, dx\)
3.13
\(\int \frac{(a+b \tan ^{-1}(c x))^2}{(d+e x)^2} \, dx\)
3.14
\(\int \frac{(a+b \tan ^{-1}(c x))^2}{(d+e x)^3} \, dx\)
3.15
\(\int (d+e x)^3 (a+b \tan ^{-1}(c x))^3 \, dx\)
3.16
\(\int (d+e x)^2 (a+b \tan ^{-1}(c x))^3 \, dx\)
3.17
\(\int (d+e x) (a+b \tan ^{-1}(c x))^3 \, dx\)
3.18
\(\int \frac{(a+b \tan ^{-1}(c x))^3}{d+e x} \, dx\)
3.19
\(\int \frac{(a+b \tan ^{-1}(c x))^3}{(d+e x)^2} \, dx\)
3.20
\(\int \frac{(a+b \tan ^{-1}(c x))^3}{(d+e x)^3} \, dx\)
3.21
\(\int (d+e x)^2 (a+b \tan ^{-1}(c x^2)) \, dx\)
3.22
\(\int (d+e x) (a+b \tan ^{-1}(c x^2)) \, dx\)
3.23
\(\int \frac{a+b \tan ^{-1}(c x^2)}{d+e x} \, dx\)
3.24
\(\int \frac{a+b \tan ^{-1}(c x^2)}{(d+e x)^2} \, dx\)
3.25
\(\int (d+e x) (a+b \tan ^{-1}(c x^2))^2 \, dx\)
3.26
\(\int \frac{(a+b \tan ^{-1}(c x^2))^2}{d+e x} \, dx\)
3.27
\(\int \frac{(a+b \tan ^{-1}(c x^2))^2}{(d+e x)^2} \, dx\)
3.28
\(\int (d+e x)^2 (a+b \tan ^{-1}(c x^3)) \, dx\)
3.29
\(\int (d+e x) (a+b \tan ^{-1}(c x^3)) \, dx\)
3.30
\(\int \frac{a+b \tan ^{-1}(c x^3)}{d+e x} \, dx\)
3.31
\(\int \frac{a+b \tan ^{-1}(c x^3)}{(d+e x)^2} \, dx\)
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