3.1 Integrals 1 to 31

3.1.1 \(\int (d+e x)^4 (a+b \arctan (c x)) \, dx\) [1]
3.1.2 \(\int (d+e x)^3 (a+b \arctan (c x)) \, dx\) [2]
3.1.3 \(\int (d+e x)^2 (a+b \arctan (c x)) \, dx\) [3]
3.1.4 \(\int (d+e x) (a+b \arctan (c x)) \, dx\) [4]
3.1.5 \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{d+e x} \, dx\) [5]
3.1.6 \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{(d+e x)^2} \, dx\) [6]
3.1.7 \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{(d+e x)^3} \, dx\) [7]
3.1.8 \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{(d+e x)^4} \, dx\) [8]
3.1.9 \(\int (d+e x)^3 (a+b \arctan (c x))^2 \, dx\) [9]
3.1.10 \(\int (d+e x)^2 (a+b \arctan (c x))^2 \, dx\) [10]
3.1.11 \(\int (d+e x) (a+b \arctan (c x))^2 \, dx\) [11]
3.1.12 \(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{d+e x} \, dx\) [12]
3.1.13 \(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{(d+e x)^2} \, dx\) [13]
3.1.14 \(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{(d+e x)^3} \, dx\) [14]
3.1.15 \(\int (d+e x)^3 (a+b \arctan (c x))^3 \, dx\) [15]
3.1.16 \(\int (d+e x)^2 (a+b \arctan (c x))^3 \, dx\) [16]
3.1.17 \(\int (d+e x) (a+b \arctan (c x))^3 \, dx\) [17]
3.1.18 \(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^3}{d+e x} \, dx\) [18]
3.1.19 \(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^3}{(d+e x)^2} \, dx\) [19]
3.1.20 \(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^3}{(d+e x)^3} \, dx\) [20]
3.1.21 \(\int (d+e x)^2 (a+b \arctan (c x^2)) \, dx\) [21]
3.1.22 \(\int (d+e x) (a+b \arctan (c x^2)) \, dx\) [22]
3.1.23 \(\int \genfrac {}{}{}{}{a+b \arctan (c x^2)}{d+e x} \, dx\) [23]
3.1.24 \(\int \genfrac {}{}{}{}{a+b \arctan (c x^2)}{(d+e x)^2} \, dx\) [24]
3.1.25 \(\int (d+e x) (a+b \arctan (c x^2))^2 \, dx\) [25]
3.1.26 \(\int \genfrac {}{}{}{}{(a+b \arctan (c x^2))^2}{d+e x} \, dx\) [26]
3.1.27 \(\int \genfrac {}{}{}{}{(a+b \arctan (c x^2))^2}{(d+e x)^2} \, dx\) [27]
3.1.28 \(\int (d+e x)^2 (a+b \arctan (c x^3)) \, dx\) [28]
3.1.29 \(\int (d+e x) (a+b \arctan (c x^3)) \, dx\) [29]
3.1.30 \(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{d+e x} \, dx\) [30]
3.1.31 \(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{(d+e x)^2} \, dx\) [31]