Question: The value of $\int _ { 0 } ^ { 1 }$\|sin 2 π x\| dx is equal to...

Question

The value of $\int _ { 0 } ^ { 1 }$ |sin 2 π x| dx is equal to

Answer 1

Since |sin 2 π x | is periodic with period $\frac { 1 } { 2 }$ ,

I = $\int _ { 0 } ^ { 1 / 2 } \sin$ 2πx dx

= 2 = $\frac { 2 } { \pi }$ .

Question: The value of \(\int _ { 0 } ^ { 1 }\)\|sin 2 π x\| dx is equal to...