Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

The area in the first quadrant bounded by y = 4x2, x = 0 y = 1 and y = 4 is : 

Options:

2

5/2

7/3

3

Correct Answer:

7/3

Explanation:

Area = \(\int_{1}^{4}d\) y x 

        = \(\int_{1}^{4}dy \frac{\sqrt{y}}{2}\)

        = \(\frac{1}{2} |\frac{2}{3} \sqrt{y^3}|_1^4\)

        = \(\frac{7}{3}\)