CUET Preparation Today
CUET
-- Mathematics - Section B1
Application of Integrals
The area in the first quadrant bounded by y = 4x2, x = 0 y = 1 and y = 4 is :
2
5/2
7/3
3
Area = \(\int_{1}^{4}d\) y x
= \(\int_{1}^{4}dy \frac{\sqrt{y}}{2}\)
= \(\frac{1}{2} |\frac{2}{3} \sqrt{y^3}|_1^4\)
= \(\frac{7}{3}\)