Question 368 of 416EasyMCQ
∫010π∣sinx∣dx is: Solutions · 1
Official solution
\[I = \int\limits_0^{10\pi } {\left| {\sin x} \right|} dx\]
\[ = 10\int\limits_0^\pi {\left| {\sin x\,} \right|} \,dx\]
\[ = 10\int\limits_0^\pi {\sin \,x\,dx} \]
\[\left[ \, \right.\] as \[\left| {\sin x} \right|\] is periodic with period \[\pi \]
and sin x>0 if 0<x \[ < \pi \] \[\left. \, \right]\]
\[I = 20\int\limits_0^{\pi /2} {\sin x} \,dx\]
\[ = 20\left[ { - \cos \,x_0^{\pi /2}} \right] = 20\] Answer the question to unlock