Question
Question: The area bounded by the curve \(y = 2x - x^{2}\) and the straight line \(y = - x\) is given by...
The area bounded by the curve y=2x−x2 and the straight line y=−x is given by
A
9/2
B
43/6
C
35/6
D
16/3
Answer
9/2
Explanation
Solution
Required Area = ∫03(y1−y2)dx
=∫03(2x−x2)−(−x)dx=∫03(3x−x2)dx
= [23x2−3x3]03=227−9=29