3.1 Integrals 1 to 36
\(\int (a+b x) \, dx\) [1]
\(\int \sin (2 \arcsin (a+b x)) \, dx\) [2]
\(\int \sin (3 \arcsin (a+b x)) \, dx\) [3]
\(\int (a+b x)^2 \, dx\) [4]
\(\int \sin ^2(2 \arcsin (a+b x)) \, dx\) [5]
\(\int \sin ^2(3 \arcsin (a+b x)) \, dx\) [6]
\(\int \sqrt {1-(a+b x)^2} \, dx\) [7]
\(\int \sin (2 \arccos (a+b x)) \, dx\) [8]
\(\int \sin (3 \arccos (a+b x)) \, dx\) [9]
\(\int (1-(a+b x)^2) \, dx\) [10]
\(\int \sin ^2(2 \arccos (a+b x)) \, dx\) [11]
\(\int \sin ^2(3 \arccos (a+b x)) \, dx\) [12]
\(\int \genfrac {}{}{}{}{a+b x}{\sqrt {1+(a+b x)^2}} \, dx\) [13]
\(\int \sin (2 \arctan (a+b x)) \, dx\) [14]
\(\int \sin (3 \arctan (a+b x)) \, dx\) [15]
\(\int \genfrac {}{}{}{}{(a+b x)^2}{1+(a+b x)^2} \, dx\) [16]
\(\int \sin ^2(2 \arctan (a+b x)) \, dx\) [17]
\(\int \sin ^2(3 \arctan (a+b x)) \, dx\) [18]
\(\int \genfrac {}{}{}{}{1}{(a+b x) \sqrt {1+\genfrac {}{}{}{}{1}{(a+b x)^2}}} \, dx\) [19]
\(\int \sin (2 \cot ^{-1}(a+b x)) \, dx\) [20]
\(\int \sin (3 \cot ^{-1}(a+b x)) \, dx\) [21]
\(\int \genfrac {}{}{}{}{1}{(a+b x)^2 (1+\genfrac {}{}{}{}{1}{(a+b x)^2})} \, dx\) [22]
\(\int \sin ^2(2 \cot ^{-1}(a+b x)) \, dx\) [23]
\(\int \sin ^2(3 \cot ^{-1}(a+b x)) \, dx\) [24]
\(\int \sqrt {1-\genfrac {}{}{}{}{1}{(a+b x)^2}} \, dx\) [25]
\(\int \sin (2 \sec ^{-1}(a+b x)) \, dx\) [26]
\(\int \sin (3 \sec ^{-1}(a+b x)) \, dx\) [27]
\(\int (1-\genfrac {}{}{}{}{1}{(a+b x)^2}) \, dx\) [28]
\(\int \sin ^2(2 \sec ^{-1}(a+b x)) \, dx\) [29]
\(\int \sin ^2(3 \sec ^{-1}(a+b x)) \, dx\) [30]
\(\int \genfrac {}{}{}{}{1}{a+b x} \, dx\) [31]
\(\int \sin (2 \csc ^{-1}(a+b x)) \, dx\) [32]
\(\int \sin (3 \csc ^{-1}(a+b x)) \, dx\) [33]
\(\int \genfrac {}{}{}{}{1}{(a+b x)^2} \, dx\) [34]
\(\int \sin ^2(2 \csc ^{-1}(a+b x)) \, dx\) [35]
\(\int \sin ^2(3 \csc ^{-1}(a+b x)) \, dx\) [36]