Find the area lying above x-axis and inc

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

Find the area lying above x-axis and included between the circle x² + y² = 8x and inside of the parabola y² = 4x.

Options:

2/3(4 + 3$\pi $)

4/3(8 + 3$\pi $)

2/3(4 - 3$\pi $)

4/3(8 - 3$\pi $)

Correct Answer:

4/3(8 + 3$\pi $)

Explanation:

Area = $\int_{0}^{4}d$x y + $\int_{4}^{8}d$x y = 4/3(8 + 3$\pi $)