# Math Help - Range of f(x)

1. ## Range of f(x)

$The function f:[-1,1]\to\mathbb{R} is defined by f(x)=\int\limit_{-1}^{x}|sin(pt)-cos(pt)|dt.\\\\Then Range of f(x) is$

2. Originally Posted by jacks
$The function f:[-1,1]\to\mathbb{R} is defined by f(x)=\int\limit_{-1}^{x}|sin(pt)-cos(pt)|dt.\\\\Then Range of f(x) is$
One way is to first get an expression for sin(pt) - cos(pt) in the form Acos(pt + alpha).