The area bounded by the curve y = x^2 + ...

The area bounded by the curve `y = x^2 + 4x + 5`, the axes of co-ordinates & the minimum ordinate is:

A

`3 2/3` sq. unit

B

`4 2/3` sq. unit

C

`5 2/3` sq. unit

D

`8/3` sq. unit

Verified by Experts

The correct Answer is:

B

`y =x^(2)+4x+5=(x+2)^(2)+1`
`A = int_(-2)^(0)(x^(2)+4x+5)dx=(x^3)/(3)+2x^(2)+5 ]_(2)^(0)`

`-[-8/3+8-10] = 2+8/3=14/3=4 2/3`.

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