Free physics question bank
Area Under the Curve questions with solutions
Practice Mathematical tools and vector for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.
Showing 1–10 of 20 questions
- MCQeasyMathematical tools and vector
Find the total area between y = |x| and the x-axis from x = -2 to x = 2.
Options
JEE MainsJEE Advanced
Open question & full solution → - MCQmediumMathematical tools and vector
Find the total area between y = x² - 1 and the x-axis from x = -2 to x = 2.
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JEE MainsJEE Advanced
Open question & full solution → - MCQmediumMathematical tools and vector
A particle has velocity v = 4 - 2t m s⁻¹ for 0 ≤ t ≤ 4 s. Find the total distance travelled from the area under the speed-time graph.
Options
JEE MainsJEE Advanced
Open question & full solution → - MatchmediumMathematical tools and vector
Match List I with List II and choose the correct option.
List 1
y=x and y=x² on [0,1]
y=x² and y=2x on [0,2]
y=x² and y=2-x²
y=x+2 and y=x²
List 2
9/2
8/3
1/6
4/3
Options
JEE MainsJEE Advanced
Open question & full solution → - MCQmediumMathematical tools and vector
Find the area enclosed between y = x² and y = 4 - x².
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JEE MainsJEE Advanced
Open question & full solution → - MCQmediumMathematical tools and vector
Find the area enclosed between y = x² and y = 2x.
Options
JEE MainsJEE Advanced
Open question & full solution → - MatchmediumMathematical tools and vector
Match List I with List II and choose the correct option.
List 1
Area under y=x from 0 to 2
Area under y=x² from 0 to 2
Area under y=sinx from 0 to π
Area under y=cosx from 0 to π/2
List 2
1 square unit for ∫₀→π/2 cos x dx
2 square units for area under y = x from 0 to 2
8/3 square units for area under y = x² from 0 to 2
2 square units for area under y = sin x from 0 to π
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JEE MainsJEE Advanced
Open question & full solution → - MCQeasyMathematical tools and vector
The velocity-time relation of a particle is v = 6 - 2t m s⁻¹ for 0 ≤ t ≤ 3 s. Find its displacement in this interval using area under the v-t curve.
Options
JEE MainsJEE Advanced
Open question & full solution → - MCQmediumMathematical tools and vector
Find the total area between y = x³ - x and the x-axis from x = -1 to x = 1.
Options
JEE MainsJEE Advanced
Open question & full solution → - MCQmediumMathematical tools and vector
Find the area enclosed between y = x² and y = 2 - x².
Options
JEE MainsJEE Advanced
Open question & full solution →