(i) Area of the shaded portion in the figure is equal to (a) ∫ f(x) dx, x ∈ [d,c] (ii) ∫f(x) dx, x ∈ [c,d] (iii)∫ f(y) dy, x ∈ [d,c]

Question

(i) Area of the shaded portion in the figure is equal to

(ii) Consider the curves y = x², x = 0, y = 1, y = 4.

Draw a rough sketch and shade the region bounded by these curves, Find area of the shaded region.

Answer 1

(i) \(\int\limits_c^d f(y) dy\)