3.1 Integrals 1 to 31

\(\int (d+e x)^4 (a+b \arctan (c x)) \, dx\) [1]
\(\int (d+e x)^3 (a+b \arctan (c x)) \, dx\) [2]
\(\int (d+e x)^2 (a+b \arctan (c x)) \, dx\) [3]
\(\int (d+e x) (a+b \arctan (c x)) \, dx\) [4]
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{d+e x} \, dx\) [5]
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{(d+e x)^2} \, dx\) [6]
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{(d+e x)^3} \, dx\) [7]
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{(d+e x)^4} \, dx\) [8]
\(\int (d+e x)^3 (a+b \arctan (c x))^2 \, dx\) [9]
\(\int (d+e x)^2 (a+b \arctan (c x))^2 \, dx\) [10]
\(\int (d+e x) (a+b \arctan (c x))^2 \, dx\) [11]
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{d+e x} \, dx\) [12]
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{(d+e x)^2} \, dx\) [13]
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{(d+e x)^3} \, dx\) [14]
\(\int (d+e x)^3 (a+b \arctan (c x))^3 \, dx\) [15]
\(\int (d+e x)^2 (a+b \arctan (c x))^3 \, dx\) [16]
\(\int (d+e x) (a+b \arctan (c x))^3 \, dx\) [17]
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^3}{d+e x} \, dx\) [18]
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^3}{(d+e x)^2} \, dx\) [19]
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^3}{(d+e x)^3} \, dx\) [20]
\(\int (d+e x)^2 (a+b \arctan (c x^2)) \, dx\) [21]
\(\int (d+e x) (a+b \arctan (c x^2)) \, dx\) [22]
\(\int \genfrac {}{}{}{}{a+b \arctan (c x^2)}{d+e x} \, dx\) [23]
\(\int \genfrac {}{}{}{}{a+b \arctan (c x^2)}{(d+e x)^2} \, dx\) [24]
\(\int (d+e x) (a+b \arctan (c x^2))^2 \, dx\) [25]
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x^2))^2}{d+e x} \, dx\) [26]
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x^2))^2}{(d+e x)^2} \, dx\) [27]
\(\int (d+e x)^2 (a+b \arctan (c x^3)) \, dx\) [28]
\(\int (d+e x) (a+b \arctan (c x^3)) \, dx\) [29]
\(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{d+e x} \, dx\) [30]
\(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{(d+e x)^2} \, dx\) [31]