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Application of Integrals — Practice Quiz

Madhya Pradesh Board · Class 12 · Mathematics

Try a 4-question quiz on Application of Integrals for Madhya Pradesh Board Class 12 Mathematics: tap an answer to check it and see why.

98 questions60 flashcards16 formulas & key relations5 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.

Show answer

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

+94 more questions on Application of Integrals (Madhya Pradesh Board Class 12 Mathematics)

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Frequently Asked Questions

What are the important topics in Application of Integrals for Madhya Pradesh Board Class 12 Mathematics?
Key topics in Application of Integrals include Core Idea of Area by Integration, Negative Area and Mixed Area, Standard Results for Circle and Ellipse, Worked Examples to Remember. Study these first, then practise questions on each for the Madhya Pradesh Board Class 12 board exam.
How many practice questions are there for Application of Integrals?
There are 98 questions on Application of Integrals. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

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

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