UrbanPro
Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review Help Center
Post your Learning Need Signup as a Tutor
✕

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

✕
Loading Spinner
true
Worksheet Homepage
Worksheet Icon

Free CBSE Worksheets

Get a custom worksheet to practice!

Board

subject

Select a Class

Please select another category

Select Chapter(s)

Chapters & Subtopics

Advanced»

Select type of questions

Select the length of worksheet

Questions (5 to 100)

No of questions have to be between 5 to 100

CBSE - Class 12 > Mathematics > Application of Integrals Worksheets

Free CBSE - Class 12 Mathematics - Application of Integrals worksheets

Sample Worksheets

Here is a Sample Worksheet for you to Practice. Download this worksheet to see the answers.

1.
Area bounded by the curve $y = x^3$, the $x$-axis and the ordinates $x = – 2$ and $x = 1$ is
1. – 9 2. $\frac{-15}{4}$ 3. $\frac{15}{4}$ 4. $\frac{17}{4}$
2.
The area bounded by the curve $y = x | x |$, $x$-axis and the ordinates $x = – 1$ and $x = 1$ is given by
[Hint : $y = x^2$ if $x > 0$ and $y = – x^2$ if $x < 0$].
1. 0 2. $\frac{1}{3}$ 3. $\frac{2}{3}$ 4. $\frac{4}{3}$
3.
Find the area of the region bounded by the ellipse $\frac{x^2}{16} + \frac{y^2}{9} = 1$.
4.
Find the area of the region bounded by the ellipse $\frac{x^2}{4} + \frac{y^2}{9} = 1$.
5.
Area lying in the first quadrant and bounded by the circle $x^2 + y^2 = 4$ and the lines $x = 0$ and $x = 2$ is
1. $\pi$ 2. $\frac{\pi}{2}$ 3. $\frac{\pi}{3}$ 4. $\frac{\pi}{4}$
6.
Area of the region bounded by the curve $y^2 = 4x$, $y$-axis and the line $y = 3$ is
1. 2 2. $\frac{9}{4}$ 3. $\frac{9}{3}$ 4. $\frac{9}{2}$
7.
Find the area under the given curves and given lines:
(i) $y = x^2$, $x = 1$, $x = 2$ and $x$-axis
8.
Find the area under the given curves and given lines:
(ii) $y = x^4$, $x = 1$, $x = 5$ and $x$-axis
9.
Sketch the graph of $y = |x + 3|$ and evaluate $\int_{-6}^{0} |x + 3| dx$.
10.
Find the area bounded by the curve $y = \sin x$ between $x = 0$ and $x = 2\pi$.
Download Download this Worksheet
- OR -

Build a Custom CBSE - Class 12 Mathematics - Application of Integrals worksheets

Download free printable Application of Integrals Worksheets to practice. With thousands of questions available, you can generate as many Application of Integrals Worksheets as you want.

Chapters in CBSE - Class 12 Mathematics

Application of Derivatives Worksheet Continuity and Differentiability Worksheet Determinants Worksheet Differential Equations Worksheet Integrals Worksheet Inverse Trigonometric Functions Worksheet Linear Programming Worksheet Matrices Worksheet Probability Worksheet Relations and Functions Worksheet Three Dimensional Geometry Worksheet Vector Algebra Worksheet

Free Application of Integrals Worksheets

Our worksheets are designed to help students explore various topics, practice skills and enrich their subject knowledge, to improve their academic performance. Designed by experts who have extensive experience and expertise in teaching a subject, these worksheets will improve your child's problem-solving skills and subject knowledge in a fun and interactive manner.

Check out our free customized worksheets across school boards, grades, subjects, and levels of subject knowledge. You can download, print, and share these worksheets with anyone, anywhere, anytime!

Top Tutors who teach CBSE - Class 12 Mathematics Application of Integrals

Kalpana G.
(26)
Top Tutor
locationImg R - Block, Kovaipudur
20 yrs of Exp students 16 students
296 hrs of classes completed
rsIcon 500 per hour
Chemistry tutor with 25 years of experience in teaching
Online Classes Online Classes
Arkadeep Jana

Very good explanation provided and problems solved by the teacher. Any chapter is smoothly explained by the teacher and her pace of teaching is good too.

Skills: Mathematics , Chemistry
Book a FREE Demo
Prabhjee Bhatia
(52)
Top Tutor
locationImg Karampura, Delhi
10 yrs of Exp students 1 student
rsIcon 2500 per hour
Tutor
Online Classes Online Classes
homeTutions Student's Home
Eyana Punhani

A tutor explains lessons clearly helps with the doubt and gives extra practice where needed. They are supportive and patient

Skills: Mathematics , Physics
Book a FREE Demo
Ravi Y.
(37)
Top Tutor
locationImg Faridabad, Faridabad
5 yrs of Exp students 14 students
rsIcon 900 per hour
Tutor
Online Classes Online Classes
homeTutions Student's Home
regularClasses Tutor's home
Pranay Balsana

I hope you read this review, sir just for fun I'm writing this comment as you have said in the class to search for your review. I am one of your students from aakash apart from this. Sir, I'll be thanking you for my future selection. At last sir love the way you teach.

Skills: Mathematics , Physics
Book a FREE Demo
Nitish Verma
(12)
Top Tutor
locationImg Uttam Nagar, Delhi
10 yrs of Exp students 2 students
132 hrs of classes completed
rsIcon 1000 per hour
Professional teacher with 9 years of experience
Online Classes Online Classes
homeTutions Student's Home
Shambhavi Chaturvedi

I will always be grateful for the time and effort you put into teaching me. Your passion for education is truly infectious!

Skills: Mathematics , Economics and more
Book a FREE Demo

Top Concept Videos in Mathematics Application of Integrals

The Painted Region of Mathematical Shapes video thumbnail

The Painted Region of Mathematical Shapes

CBSE - Class 12>Mathematics>Application of Integrals

Provider Image
Saurav
(25)
Super TutorSuper Tutor
Explore all Application of Integrals concept videos
Worksheet
Worksheet Icon

Free CBSE Worksheets

Get a custom worksheet to practice!

Board

subject

Select a Class

Please select another category

Select Chapter(s)

Chapters & Subtopics

Advanced»

Select type of questions

Select the length of worksheet

Questions (5 to 100)

No of questions have to be between 5 to 100

Browse CBSE - Class 12 Worksheets by Subject

Accountancy Worksheet Arts / Humanities Worksheet Biology Worksheet Business Studies Worksheet Chemistry Worksheet Economics Worksheet Mathematics Worksheet Physics Worksheet

Class-wise Worksheets

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All
    UrbanPro UrbanPro Logo
  • Instagram
    Made in India. Made for you. India

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more

ThinkVidya Learning Pvt Ltd © 2010-2026 All Rights Reserved