Find the area of The Definite Integral and The Fundamental Theorem of Calculus

Question

Image- https://imgur.com/Hksu2LA

Find the area  of the shaded region under the curve, y=2x-x² .

Find the area under the curve y = 4 which is bounded from x = -1 to x = 2. 

Find the area of the region formed by the curves y = 2(x+1) bounded from x = -1 to x = 0 and y = -2(x-1) bounded from x = 0 to x = 1. 

Find the area under the curve y = 2x − x² from x = 1 to x = 2  using the Fundamental Theorem of Calculus. 

Answer 1