Question

Area of the region bounded by y= x⁴, x = 1, x = 5 and the X-axis is ______.

Options

• `3142/5` sq.units

• `3124/5` sq.units

• `3142/3` sq.units

• `3124/3` sq.units

Answer 1

Area of the region bounded by y= x⁴, x = 1, x = 5 and the X- axis is `bb(underline(3124/5 sq.units)`.

Explanation:

Area of the region = `int_1^5 ydx`

= `int_1^5x^4dx`

= `[x^5/5]_1^5`

= `1/5[5^5 - 1^5]`

= `1/5[3125 - 1]`

= `3124/5` sq.units