Evaluate \(\int { \frac { { x }^{ 3 } }{ { \left( { x }^{ 2 }+1 \right) }^{ 3 } } dx } \)

Integrate the following with respect to x.
\(\frac { { e }^{ 3logx } }{ { x }^{ 4 }+1 } \)

Evaluate ഽ\(\frac { dx }{ x^{ 2 }-3x+2 } \)

Integrate the following with respect to x
\(\frac { 1 }{ \sqrt { { x }^{ 2 }-3x+2 } } \)

Using second fundamental theorem, evaluate the following:
\(\int _{ 1 }^{ e }{ \frac { dx }{ x(1{ +logx) }^{ 3 } } } \)