Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Area of region bounded by y=x|x| bounded by x-axis and x=1,x=-1

Area of region bounded by y=x|x| bounded by x-axis and x=1,x=-1

Grade:11

2 Answers

Aakash
110 Points
4 years ago
According to defination of mod x 
mod x is x for x greater then zero
and mod x is -x for x less then zero.
hence, y can convert to:
Therefore area between y, x=1,x=-1 is
       (2 due to symmetry w.r.t to y-axis)
Aakash
110 Points
4 years ago
According to defination of mod x 
mod x is x for x greater then zero
and mod x is -x for x less then zero.
hence, y can convert to:
y= \begin{Bmatrix} x^{2} & x\geq 0\\ -x^{2} & x< 0 \end{Bmatrix} 
 
Therefore area between y ,x=1,x=-1 is:
A=2\int_{0}^{1}x^{2}dx  multiply by 2 due to symmetry
A=2\begin{bmatrix} \frac{1}{3} \end{bmatrix}
 
due to symmetry area is:
 

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free