Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:
The area of the region bounded by the graphs of the curves \(f(x)=x^{2}\) and \(g(x)=x^{3}\) is
Options:
\(\frac{1}{2}\)
\(\frac{1}{3}\)
\(\frac{1}{6}\)
\(\frac{1}{12}\)
Correct Answer:
\(\frac{1}{12}\)
Explanation:
\(\begin{aligned}\text{Area}&=\int_{0}^{1}(x^{2}-x^{3})dx\\ &=\frac{1}{12}\end{aligned}\)