Maths-

General

Easy

Question

- 0
- 1
- 2

Hint:

### We are aware that differentiation is the process of discovering a function's derivative and integration is the process of discovering a function's antiderivative. Thus, both processes are the antithesis of one another. Therefore, we can say that differentiation is the process of differentiation and integration is the reverse. The anti-differentiation is another name for the integration.

Here we have given: and we have to integrate it. We will use the substitution method to find the answer.

## The correct answer is: 2

### Now we have given the function as . Here the lower limit is and upper limit is .

The integral of |x| depends on the domain in which it is being integrated.

For x>0, |x| = x.

For x<0, |x| = -x.

We have:

.

So here we used the concept of integrals of special functions and simplified it. We can also solve it manually but it will take lot of time to come to final answer hence we used the modulus function to solve. The integral of the given function is

### Related Questions to study

chemistry-

### Which of the following plots represents correctly variation of equivalent conductance with dilution for a strong electrolyte ?

### Which of the following plots represents correctly variation of equivalent conductance with dilution for a strong electrolyte ?

chemistry-General

Maths-

### if then the triangle is

### if then the triangle is

Maths-General

Maths-

### Find x in the given figure .

### Find x in the given figure .

Maths-General

physics-

### Two masses and connected by means of a string which is made to pass over light, smooth pulley are in equilibrium on a fixed smooth wedge as shown in figure. If and , the ratio of to is

### Two masses and connected by means of a string which is made to pass over light, smooth pulley are in equilibrium on a fixed smooth wedge as shown in figure. If and , the ratio of to is

physics-General

physics-

### A sphere of mass is held between two smooth inclined walls. For . The normal reaction of the wall(2) is equal to:

### A sphere of mass is held between two smooth inclined walls. For . The normal reaction of the wall(2) is equal to:

physics-General

physics-

### Two blocks ' A ' and ' B ' each of mass ' m ' are placed on a smooth horizontal surface. Two horizontal force F and 2 F are applied on both the blocks ' A ' and ' B ' respectively as shown in figure. The block A does not slide on block B. Then the normal reaction acting between the two blocks is:

### Two blocks ' A ' and ' B ' each of mass ' m ' are placed on a smooth horizontal surface. Two horizontal force F and 2 F are applied on both the blocks ' A ' and ' B ' respectively as shown in figure. The block A does not slide on block B. Then the normal reaction acting between the two blocks is:

physics-General

physics-

### A light smooth inextensible string connected with two identical particles each of mass m, passes through a light ring R. If a force F pulls ring, the relative acceleration between the particles has magnitude :

### A light smooth inextensible string connected with two identical particles each of mass m, passes through a light ring R. If a force F pulls ring, the relative acceleration between the particles has magnitude :

physics-General

physics-

### Two light strings connect three particles of masses and . If moves with an acceleration a as shown in the figure, the ratio of tension in the strings 1 and 2 is

### Two light strings connect three particles of masses and . If moves with an acceleration a as shown in the figure, the ratio of tension in the strings 1 and 2 is

physics-General

physics-

### Two forces and act at the ends of a massless string opposite to each other. Then

### Two forces and act at the ends of a massless string opposite to each other. Then

physics-General

physics-

### What is the relation between velocities of points A and B in the given figure.

### What is the relation between velocities of points A and B in the given figure.

physics-General

physics-

### What is the relation between velocities of points A and B in the given figure.

### What is the relation between velocities of points A and B in the given figure.

physics-General

physics-

### In the figure acceleration of bodies A, B and C are shown with directions. Values b and c are w.r.t ground whereas a is acceleration of block A w.r.t wedge C. Acceleration of block A w.r.t ground is

### In the figure acceleration of bodies A, B and C are shown with directions. Values b and c are w.r.t ground whereas a is acceleration of block A w.r.t wedge C. Acceleration of block A w.r.t ground is

physics-General

physics-

### What is the relation between speeds of points A and B in the given figure.

### What is the relation between speeds of points A and B in the given figure.

physics-General

physics-

### What is the relation between velocities of points A and B in the given figure.

### What is the relation between velocities of points A and B in the given figure.

physics-General

physics-

### What is the relation between speeds of points A and B in the given figure.

### What is the relation between speeds of points A and B in the given figure.

physics-General