Evaluate the integral. $$\int _ { 0 } ^ { 1 } \frac { 3 x ^ { 3 } + 6 x ^ { 2 } + 7 x + 2 } { ( x + 1 ) ^ { 2 } \left( x ^ { 2 } + 1 \right) } d x$$

Name: Evaluate the integral. \[\int _ { 0 } ^ { 1 } \frac { 3 x ^ { 3 } + 6 x ^ { 2 } + 7 x + 2 } { ( x + 1 ) ^ { 2 } \left( x ^ { 2 } + 1 \right) } d x\]
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The Answer of Evaluate the integral. $$\int _ { 0 } ^ { 1 } \frac { 3 x ^ { 3 } + 6 x ^ { 2 } + 7 x + 2 } { ( x + 1 ) ^ { 2 } \left( x ^ { 2 } + 1 \right) } d x$$

Evaluate the Integral ∫013x3+6x2+7x+2(x+1)2(x2+1)dx\int _ { 0 } ^ { 1 } \frac { 3 x ^ { 3 } + 6 x ^ { 2 } + 7 x + 2 } { ( x + 1 ) ^ { 2 } \left( x ^ { 2 } + 1 \right) } d x∫01​(x+1)2(x2+1)3x3+6x2+7x+2​dx

Evaluate the Integral $\int _ { 0 } ^ { 1 } \frac { 3 x ^ { 3 } + 6 x ^ { 2 } + 7 x + 2 } { ( x + 1 ) ^ { 2 } \left( x ^ { 2 } + 1 \right) } d x$