Definite Integrals — Practice Quiz
Telangana Open School (TOSS) · Class 12 · Mathematics
Try a 4-question quiz on Definite Integrals for Telangana Open School (TOSS) Class 12 Mathematics: tap an answer to check it and see why.
Interactive on Super Tutor
Studying Definite Integrals? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for practice quiz and more.
Free trial, no card needed.
Quick Quiz: Definite Integrals
0/4Tap an answer to check it instantly. No sign-up needed for these 4.
What is the value of \( \int_0^1 x \, dx \)?
Which of the following represents the definite integral \( \int_a^b f(x) \, dx \) geometrically?
If \( \int_0^2 f(x) \, dx = 5 \), then what is \( \int_2^0 f(x) \, dx \)?
What is \( \int_0^{\pi/2} \cos x \, dx \)?
Sample Questions
The value of \( \int_0^1 1 \, dx \) is:
Show answer
1
The integral of 1 from 0 to 1 is simply the length of the interval, which is 1.
Which property states that \( \int_a^b f(x) \, dx = \int_a^c f(x) \, dx + \int_c^b f(x) \, dx \)?
Show answer
Additivity of limits
This is the additivity property of definite integrals, allowing splitting the interval at any point c.
What is \( \int_0^\pi \sin x \, dx \)?
Show answer
2
The antiderivative of \( \sin x \) is \( -\cos x \). So, \( [-\cos x]_0^\pi = -\cos\pi + \cos0 = -(-1) + 1 = 2 \).
If \( f(x) \) is an odd function, then \( \int_{-a}^a f(x) \, dx \) equals:
+41 more questions on Definite Integrals (Telangana Open School (TOSS) Class 12 Mathematics)
Practise AllFrequently Asked Questions
What are the important topics in Definite Integrals for Telangana Open School (TOSS) Class 12 Mathematics?
How many practice questions are there for Definite Integrals?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Definite Integrals
Important Questions
Exam-style questions with answers
Revision Notes
Key points for last-minute revision
Formula Sheet
The chapter's formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Study Plan
Step-by-step plan for this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
For serious students
Get the full Definite Integrals chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Telangana Open School (TOSS) Class 12 Mathematics. Free to start, no card needed.