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Application of Integrals

CBSE · Class 12 · Mathematics

Practice quiz for Application of Integrals — CBSE Class 12 Mathematics. MCQs and questions with answers to test your preparation.

98 questions60 flashcards5 concepts

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An illustration showing a curve y=f(x) bounded by the x-axis and vertical lines x=a and x=b. The area is approximated by numerous thin vertical rectangular strips, with one representative strip highli
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Quick Quiz: Application of Integrals

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1

Find the area bounded by the curve y = x², the x-axis, and the lines x = 1 and x = 3.

2

The area bounded by y = 4 - x² and the x-axis is:

3

Which method is most appropriate for finding the area bounded by x = y² - 1 and x = 3?

4

The area bounded by y = |x|, x-axis, from x = -2 to x = 3 is:

98 Questions·
multiple choicetext answertrue falsematchingorderingmultiple correctlong answernumerical

Sample Questions

1text answer

Calculate the area bounded by y = √x, x-axis, and the line x = 4.

2true false

True or False: The area bounded by y = x³, x-axis, from x = -1 to x = 1 is zero.

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True

∫₋₁¹ x³ dx = [x⁴/4]₋₁¹ = 1/4 - 1/4 = 0. This is because x³ is an odd function, so the areas above and below the x-axis cancel out over symmetric intervals.

3text answer

The area of the region bounded by x = y² and x = 4 is:

4matching

Match the following curves with their areas from x = 0 to x = 2:

Show answer

y = x → Area = 2

∫₀² x dx = [x²/2]₀² = 2; ∫₀² x² dx = [x³/3]₀² = 8/3; ∫₀² 2x dx = [x²]₀² = 4; ∫₀² 1 dx = [x]₀² = 2

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Frequently Asked Questions

What are the important topics in Application of Integrals for CBSE Class 12 Mathematics?
Application of Integrals covers several key topics that are frequently asked in CBSE Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Application of Integrals — CBSE Class 12 Mathematics?
Understand the core concepts first, then work through the 98 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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