Integral Calculus MCQ Level - 1 - Physics MCQ

The required area can be divided into, three regions

= 2 – 1 + 2 + 8 – 4 – 4 +1
= 4 sq. units
The correct answer is: 4 sq. units

The required area is

The correct answer is 4/3 sq.units

After changing the order, we get

The correct answer is:  

The required area is bounded by the curves

∴  The area will be given by


The correct answer is:  9/2 sq.units

The region of integration is

Hence, changing the order of integration, we get, 

The correct answer is: 

The required area can be evaluated by

Aliter: Required area = Area of circle – Area of square.

= (π - 2) 

sq. units

The correct answer is: (π - 2)  sq. units

The required area is

The correct answer is: 1 sq. unit

The given region of integration is bounded by 
 plotting all these curves, we have

Reversing the order of integration, we have the domain of integration divided into 2 regions – I and II.

∴ The integral becomes:

The correct answer is:  Q = e

The region of integration is bounded by  and 

Changing the order of integration,