Question

The area of the region bounded by the curves \[ y=x^2+1,\qquad x=y^2+1, \] \(X\)-axis, \(Y\)-axis and \(x=2\) (in sq. units) is

• A. \(\dfrac{13}{3}\)
• B. \(4\)
• C. \(6\)
• D. \(\dfrac{15}{2}\)

Hint:

When the region is bounded by both \[ x=f(y) \] and \[ y=g(x), \] draw the figure first and split the region into convenient parts before integrating.

Answer 1

The Correct Option is B