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MCQ Worksheet for Application of Integrals Class 12

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Sample questions

1. Question 1 [1 mark]
CBSE Board Exam 2026
The area of the shaded region of the circle given below is equal to :
Question image
(A)
\(\int_{1}^{3} \sqrt{9-y^{2}} d y\)\\
(B)
\(2 \int_{1}^{3} \sqrt{9-y^{2}} d y\)\\
(C)
\(\int_{0}^{3} \sqrt{9-\mathrm{x}^{2}} \mathrm{dx}\)
(D)
\(2 \int_{0}^{3} \sqrt{9-\mathrm{x}^{2}} \mathrm{dx}\)
2. Question 2 [1 mark]
CBSE Board Exam 2025
The area of the shaded region (figure) represented by the curves \(\mathrm{y}=x^2, 0 \leq x \leq 2\) and y -axis is given by
Question image
(A)
\(\int_0^2 x^2 \mathrm{~d} x\)
(B)
\(\int_0^2 \sqrt{\mathrm{y}} \mathrm{dy}\)
(C)
\(\int_0^4 x^2 \mathrm{~d} x\)
(D)
\(\int_0^4 \sqrt{\mathrm{y}} \mathrm{dy}\)
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About this MCQ Worksheet

This mcq worksheet is designed for Class 12 Maths practice from Application of Integrals Class 12. It uses the question types selected for this worksheet and keeps the preview representative of the complete set.

Solve the questions first, then use the separate answer key to check the method and identify concepts that need revision. For more practice, continue with the chapter quiz or another worksheet below.

Frequently asked questions

How many questions are in this mcq worksheet?

The complete worksheet contains 7 questions. This page shows a fixed preview of 2 questions.

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Attempt the questions without the answer key, check each solution afterwards, and revise the linked chapter concepts before trying another worksheet or quiz.

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