Get Answers to all your Questions

header-bg qa

Q : 2         Find the area between the curves \small y=x and \small y=x^2.

Answers (1)

best_answer

the area between the curves \small y=x and \small y=x^2.
AOI graph
The curves intersect at A(1,1)
Draw a normal to AC to OC(x-axis)
therefore, the required area (OBAO)= area of (OCAO) - area of (OCABO)
                                                          \\=\int_{0}^{1}xdx-\int_{0}^{1}x^2dx\\ =[\frac{x^2}{2}]_0^1-[\frac{x^3}{3}]_0^1\\ =1/2-1/3\\ =\frac{1}{6}
Thus the area of shaded region is 1/6 units

Posted by

manish

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads