Question
Mathematics Question on integral
What is the value of ∫491xdx ?
A
(A) 1
B
(B) −2
C
(C) 2
D
(D) −1
Answer
(C) 2
Explanation
Solution
Explanation:
∫1xdx=∫x−12dx=x−12+1−12+1+C=2x+C∴∫491xdx=[2x]49=2[9−4]=2(3−2)=2Hence, the correct option is (C).