Question
Question: Area bounded by the curve y=x sinx and x-axis between x=0 and x=2\(\pi\) is...
Area bounded by the curve y=x sinx and x-axis between x=0 and x=2π is
A
2π
B
3π
C
4π
D
None of these
Answer
4π
Explanation
Solution
y = x sin x is positive for 0<x<π and negative for π x<2π.
∴ Required area
=π+3π=4π