Question

The area bounded by the line y = x, X-axis and the lines x = −1 and x = 4 is equal to ______ (in square units).

Options

• `2/17`

• 8

• `17/2`

• `1/2`

Answer 1

The area bounded by the line y = x, X-axis and the lines x = −1 and x = 4 is equal to `bbunderline(17/2)`(in square units).

Explanation:

Area = `int_-1^4 x  dx`

= `[x^2/2]_-1^4`

= `4^2/2 - (-1)^2/2`

= `16/2 - 1/2`

= `15/2`

∴ `17/2` is the closest to the answer.