Question

$\int _ { - 2 } ^ { 0 } \left( x ^ { 3 } + 3 x ^ { 2 } + 3 x + 3 + ( x + 1 ) \cos ( x + 1 ) d x \right.$ is equals to -

• A. – 4
• B. 0
• C. 4
• D. 6

Answer 1

Answer: (C)

4

Answer 2

$\int _ { - 2 } ^ { 0 } ( x + 1 ) ^ { 3 } + ( x + 1 ) \cos ( x + 1 )$

let x +1 = t ; dx = dt

$\int _ { - 1 } ^ { 1 } \mathrm { t } ^ { 3 } + \mathrm { t } \cdot \cos \mathrm { dt } = 0$