Question

${\int }_0^{10\pi }|sinx|dxis$

• A. 20
• B. 8
• C. 10
• D. 18

Answer 1

The correct option is A 20

$\therefore {\int }_0^{10\pi }|sinx|dx=10{\int }_0^{\pi }|sinx|dx$
$\therefore |sinx|is$ positive in I & II quadrant and has period $\pi$
$=10{\int }_0^{\pi }sinxdx=10[-cosx{]}_0^x=20$