Area Under the Curve questions with solutions

Showing 1–10 of 20 questions

• MCQeasyMathematical tools and vectorArea Under the Curve

  Find the total area between y = |x| and the x-axis from x = -2 to x = 2.

  Options

  • Option A

    16/3 square units

  • Option B

    4 square units

  • Option C

    2 square units

  • Option D

    8 square units

  Check answerShow answer

  JEE MainsJEE Advanced

  Open question & full solution →
• MCQmediumMathematical tools and vectorArea Under the Curve

  Find the area enclosed between y = x² and y = 2x.

  Options

  • Option A

    2/3 square units

  • Option B

    8/3 square units

  • Option C

    2 square units

  • Option D

    4/3 square units

  Check answerShow answer

  JEE MainsJEE Advanced

  Open question & full solution →
• MatchmediumMathematical tools and vectorArea Under the Curve

  Match List I with List II and choose the correct option.

  List 1

  1. Area under v-t graph

  2. Area under speed-t graph

  3. Area under a-t graph

  4. Area between two curves

  List 2

  1. Change in velocity

  2. Distance travelled

  3. Displacement

  4. ∫(upper-lower)dx

  Options

  • Option A

    P-3, Q-1, R-4, S-2

  • Option B

    P-3, Q-2, R-1, S-4

  • Option C

    P-1, Q-2, R-3, S-4

  • Option D

    P-2, Q-4, R-1, S-3

  Check answerShow answer

  JEE MainsJEE Advanced

  Open question & full solution →
• MCQmediumMathematical tools and vectorArea Under the Curve

  Find the total geometric area between y = x³ and the x-axis from x = -1 to x = 1.

  Options

  • Option A

    1/4 square unit

  • Option B

    1 square unit

  • Option C

    1/2 square unit

  • Option D

    0

  Check answerShow answer

  JEE MainsJEE Advanced

  Open question & full solution →
• MatchmediumMathematical tools and vectorArea Under the Curve

  Match List I with List II and choose the correct option.

  List 1

  1. ∫₋₁¹x³dx

  2. Geometric area for y=x³ on [-1,1]

  3. ∫₀→π cosx dx

  4. Geometric area for y=cosx on [0,π]

  List 2

  1. 2 square units: geometric area for y = cos x on [0, π]

  2. 0: signed integral of x³ on [-1,1]

  3. 1/2 square unit: geometric area for y = x³ on [-1,1]

  4. 0: signed integral of cos x on [0,π]

  Options

  • Option A

    P-2, Q-4, R-1, S-3

  • Option B

    P-3, Q-1, R-4, S-2

  • Option C

    P-2, Q-3, R-4, S-1

  • Option D

    P-1, Q-2, R-3, S-4

  Check answerShow answer

  JEE MainsJEE Advanced

  Open question & full solution →
• MCQeasyMathematical tools and vectorArea Under the Curve

  Find the area bounded by y = 4 - x² and the x-axis.

  Options

  • Option A

    32/3 square units

  • Option B

    16/3 square units

  • Option C

    8 square units

  • Option D

    64/3 square units

  Check answerShow answer

  JEE MainsJEE Advanced

  Open question & full solution →
• MCQmediumMathematical tools and vectorArea Under the Curve

  Find the area enclosed between y = x² and y = 2 - x².

  Options

  • Option A

    4/3 square units

  • Option B

    16/3 square units

  • Option C

    2 square units

  • Option D

    8/3 square units

  Check answerShow answer

  JEE MainsJEE Advanced

  Open question & full solution →
• MCQmediumMathematical tools and vectorArea Under the Curve

  Find the area enclosed between y = x + 2 and y = x².

  Options

  • Option A

    32/3 square units

  • Option B

    9/2 square units

  • Option C

    7/2 square units

  • Option D

    5 square units

  Check answerShow answer

  JEE MainsJEE Advanced

  Open question & full solution →
• MCQmediumMathematical tools and vectorArea Under the Curve

  Find the total geometric area between y = cos x and the x-axis from x = 0 to x = π.

  Options

  • Option A

    1 square unit

  • Option B

    4 square units

  • Option C

    2 square units

  • Option D

    0

  Check answerShow answer

  JEE MainsJEE Advanced

  Open question & full solution →
• MCQeasyMathematical tools and vectorArea Under the Curve

  Find the area enclosed between y = x and y = x² in the interval 0 ≤ x ≤ 1.

  Options

  • Option A

    1/2 square unit

  • Option B

    2/3 square unit

  • Option C

    1/6 square units

  • Option D

    1/3 square units

  Check answerShow answer

  JEE MainsJEE Advanced

  Open question & full solution →