The integral of the second
function is ex Therefore,
x
∫x e dx
 =
1
x
x
x e
e dx
−
∫⋅
 = xex – ex + C Example 20 Find 
1
2
sin
1
–
x
x dx
−x
∫
Solution Let first function be sin – 1x and second function be 
2
1
x
x
− First we find the integral of the second function, i