Integration @ 02
Calculus
Level
5
\[ Y = \int _{ 0 }^{ 1 }{ \frac { 2{ x }^{ 2 }+3x+3 }{ (x+1)({ x }^{ 2 }+2x+2) } } dx \]
Which of the following options are equal to \(Y \)?
- (A): \(\dfrac { \pi }{ 4 } +2\log2-\arctan { 2 }\)
- (B): \(\dfrac { \pi }{ 4 } +2\log2-\arctan {\frac{1}{3}}\)
- (C): \(2 \log 2 - \text{arccot 3}\)
- (D): \(-\dfrac{\pi}{4}+\log4+\text{arccot 2}\)
by
Saurav Pal