設(shè)f(x)=dt,計(jì)算f(x)dx.
設(shè)f(x),g(x)在區(qū)間[-a,a](a>0)上連續(xù),g(x)為偶函數(shù),f(x)滿足f(x)+f(-x)=A(A為常數(shù)).試證.并用該等式計(jì)算積分:
設(shè)f(x),g(x)在區(qū)間[-a,a](a>0)上連續(xù),g(x)為偶函數(shù),f(x)滿足f(x)+f(-x)=A(A為常數(shù)).試證.并用該等式計(jì)算積分:|sinx|arctanexdx.