Let Which statement about is true for all real ?

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let H(x)=∫2xcos⁡t dt.H(x)=\displaystyle \int_{2}^{x} \cos t\,dt. Which statement about HH is true for all real xx? (a) H(x)=cos⁡x−cos⁡2H(x)=\cos x-\cos 2 (b) H′(x)=sin⁡xH'(x)=\sin x (c) H(x)=sin⁡x−sin⁡2H(x)=\sin x-\sin 2 (d) H(x)=sin⁡x+sin⁡2H(x)=\sin x+\sin 2

Related theory

Browse the problem library