Let . What is…

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

Problem

Let H(x)=∫1cos⁡xet2 dt+∫x4et2 dtH(x)=\displaystyle\int_{1}^{\cos x} e^{t^{2}}\,dt+\int_{x}^{4} e^{t^{2}}\,dt. What is H′(x)H'(x)? (a) sin⁡x e(cos⁡x)2−ex2\sin x\,e^{(\cos x)^{2}}-e^{x^{2}} (b) −sin⁡x e(cos⁡x)2+ex2-\sin x\,e^{(\cos x)^{2}}+e^{x^{2}} (c) −sin⁡x e(cos⁡x)2−ex2-\sin x\,e^{(\cos x)^{2}}-e^{x^{2}} (d) −sin⁡x ex2−ex2-\sin x\,e^{x^{2}}-e^{x^{2}}

Related theory

Browse the problem library