Question
Mathematics Question on Exponential and Logarithmic Functions
The area (in sq. units) bounded by the parabola y = 2 – x2 and the line x + y = 0 is
A
(A) 1/2
B
(B) 1/3
C
(C) 2/9
D
(D) 9/2
Answer
(D) 9/2
Explanation
Solution
Explanation:
Required area =∫−12(2−x2+x)dx=(2x−x33+x22)−12=4−83+2+2−13−12=92 sq.units