The area bounded by the curve $y=x^2|x|$

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

The area bounded by the curve $y=x^2|x|$, x-axis and the ordinates x = -1 and x = 0 is given by:

Options:

$\frac{1}{3}$ square units

$\frac{3}{4}$ square units

$\frac{1}{6}$ square units

$\frac{1}{4}$ square units

Correct Answer:

$\frac{1}{4}$ square units

Explanation:

The correct answer is Option (4) → $\frac{1}{4}$ square units