Definite Integration Question 89
Question: The area between the curve $ y=4+3x-x^{2} $ and x-axis is
[RPET 2001]
Options:
A) 125/6 sq. unit
B) 125/3 sq. unit
C) 125/2 sq. unit
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Solving $ y=0 $ and $ y=4+3x-x^{2}, $ we get $ x=-1,4 $ . Curve does not intersect x-axis between $ x=-1 $ and $ x=4 $ . Area $ =\int _{-1}^{4}{(4+3x-x^{2})dx=\frac{125}{6}} $ .
BETA
