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NTA Abhyas JEE Main2020MathematicsArea Under CurvesPractice

The area (in sq. units) bounded by the curve y = m a x. x 3 , x 4 and the x -axis from x = 0 to x = 1 is

Correct answer

0.25

Step-by-step solution

max ⁡ x 3 , x 4 = x 3 ∀ x ∈ 0,1 ∴ Required area = ∫ 0 1 x 3 d x = x 4 4 0 1 = 1 4 = 0.25 sq. units

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