UrbanPro
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

Free CBSE - Class 12 Mathematics - Integrals worksheets

Sample Worksheets

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

1.
Prove the following (Exercises 32 to 37)
33. $\int_{0}^{1} x e^x dx = 1$
2.
Prove the following (Exercises 32 to 37)
34. $\int_{-1}^{1} x^{17} \cos^4 x dx = 0$
3.
Prove the following (Exercises 32 to 37)
35. $\int_{0}^{\frac{\pi}{2}} \sin^3 x dx = \frac{2}{3}$
4.
Prove the following (Exercises 32 to 37)
36. $\int_{0}^{\frac{\pi}{4}} 2\tan^3 x dx = 1 - \log 2$
5.
Prove the following (Exercises 32 to 37)
37. $\int_{0}^{1} \sin^{-1} x dx = \frac{\pi}{2} - 1$
6.
Choose the correct answers in Exercises 38 to 40
38. $\int \frac{dx}{e^x + e^{-x}}$ is equal to
1. $\tan^{-1}(e^x) + C$ 2. $\tan^{-1}(e^{-x}) + C$ 3. $\log(e^x - e^{-x}) + C$ 4. $\log(e^x + e^{-x}) + C$
7.
Choose the correct answers in Exercises 38 to 40
39. $\int \frac{\cos 2x}{(\sin x + \cos x)^2} dx$ is equal to
1. $\frac{-1}{\sin x + \cos x} + C$ 2. $\log |\sin x + \cos x| + C$ 3. $\log |\sin x - \cos x| + C$ 4. $\frac{1}{(\sin x + \cos x)^2}$
8.
Choose the correct answers in Exercises 38 to 40
40. If $f(a+b-x) = f(x)$, then $\int_{a}^{b} x f(x) dx$ is equal to
1. $\frac{a+b}{2} \int_{a}^{b} f(b-x) dx$ 2. $\frac{a+b}{2} \int_{a}^{b} f(b+x) dx$ 3. $\frac{b-a}{2} \int_{a}^{b} f(x) dx$ 4. $\frac{a+b}{2} \int_{a}^{b} f(x) dx$
9.
Evaluate the definite integrals in Exercises 24 to 31.
31. $\int_{1}^{4} [|x-1|+|x-2|+|x-3|] dx$
10.
Prove the following (Exercises 32 to 37)
32. $\int_{1}^{3} \frac{dx}{x^2(x+1)} = \frac{2}{3} + \log \frac{2}{3}$
- OR -

Build a Custom CBSE - Class 12 Mathematics - Integrals worksheets

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

Free 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 Integrals

(11)
Top Tutor
locationImg Sector 55 Phase 1, Sahibzada Ajit Singh Nagar
16 yrs of Exp students 2 students
62 hrs of classes completed
rsIcon 500 per hour
Concept Carity is my Priority.
Online Classes Online Classes
regularClasses Tutor's home
Aashka

“I craft this review as an offering of gratitude for the trans-formative influence she has on me. Please note that my review is completely transparent and true to my personal experience. I approached her with the request of covering Calculus from Class 12 RD Sharma (which extends to over 500 pages!). It's a challenge to find educators who truly prioritise depth and detail in their instruction and are willing to navigate the complexity that CBSE demands. However, under her guidance, we covered each exercise comprehensively, thoroughly and meticulously. Her teaching skills are truly top-notch and her sessions are sharply structured. Complex problems were masterfully explained. She is reservoir of knowledge, and always has all the answers to my doubts. Additionally, she keeps me engaged throughout the class, giving me questions to work through and think about independently. But it's not just her teaching that mesmerises – it's her respect for punctuality that sets the tone for disciplined learning. Each class, every session, begins on time and makes it clear that she is a seasoned professional with kernels of experience to her name. All in all, if you're looking for an exceptional teacher, in fact the best on this platform, Deepa ma'am should be your only choice.”

Skills: Mathematics , Applied Mathematics

(34)
Top Tutor
locationImg Vimanapura Krishna Nagar, Bangalore
7 yrs of Exp students 6 students
717 hrs of classes completed
rsIcon 700 per hour
Guru
Online Classes Online Classes
homeTutions Student's Home
Harshali Jain

Great me 7gydducuvuxuxuu100ffufhhhufgxydufifufufufudufufivjchcjxuduxjcuxhfjcufjfucivifujcufyucufjgivufyufuficuxyhxhcjchcjcjc

Skills: Mathematics , Physics and more

(72)
Top Tutor
locationImg Mathura Road, Delhi
20 yrs of Exp students 13 students
1740 hrs of classes completed
rsIcon 1200 per hour
Experienced and certified teacher from university
Online Classes Online Classes
regularClasses Tutor's home
Rithwik Rubesh

Its been a really nice teaching experience with Mr.Amit so far. He is very knowledgeable and a patient teacher. He always clarifies the concepts clearly and ensures good understanding.

Skills: Mathematics , Physics and more

(6)
Top Tutor
locationImg Bajaj Nagar, Nagpur
3 yrs of Exp
Tutor
Online Classes Online Classes
homeTutions Student's Home
Neha

I want to thank you sir, because i learned a lot from you and you always encouraged me to do better.

Skills: English , Mathematics and more

Top Concept Videos in Mathematics Integrals

The Language of Summation and Area video thumbnail

The Language of Summation and Area

CBSE - Class 12>Mathematics>Integrals

Provider Image
Saurav
(25)
Super TutorSuper Tutor


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

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.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