Question

find the area of the region bounded by the curve y=|x| the x-axis and between x=1 and x=4​

Answer 1

Answer:

Required area = Area of ABCD = ∫

1

4

ydx

=∫

1

4

x

dx

=

3

2

[(4)

3/2

−(1)

3/2

]

=

3

2

(8−1)=

3

14

units