Download the app

Questions  

 Evaluate 016π/3|sinx|dx

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
212
b
0
c
192
d
172

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is A

∫016π/3 |sin⁡x|dx=∫05π |sin⁡x|dx+∫5π5π+π/3 |sin⁡x|dx =5∫0π |sin⁡x|dx+∫0π/3 |sin⁡x|dx[∵|sin⁡x| is periodic with period π=5∫0π sin⁡xdx+∫0π/3 sin⁡xdx =5[−cos⁡x]0π+[−cos⁡x]0π3 =5×2+−12+1=212


Similar Questions

The value of 01r=1n(x+r)k=1n1x+kdx is


whats app icon
phone icon