1.Let F(x)=∫sinxcosx(1+arcsint)2 dtF(x)=\int_{\sin x}^{\cos x}(1+\arcsin t)^{2}\,dtF(x)=∫sinxcosx(1+arcsint)2dt on [0,π2][0,\frac{\pi}{2}][0,2π], thena.F′′(c)=0F''(c)=0F′′(c)=0 for all c∈(0,π2)c\in(0,\frac{\pi}{2})c∈(0,2π)b.F′′(c)=0F''(c)=0F′′(c)=0 for some c∈(0,π2)c\in(0,\frac{\pi}{2})c∈(0,2π)c.F′(c)≠0F'(c)\neq 0F′(c)=0 for all c∈(0,π2)c\in(0,\frac{\pi}{2})c∈(0,2π)d.F(c)=0F(c)=0F(c)=0 for some c∈(0,π2)c\in(0,\frac{\pi}{2})c∈(0,2π)Login to continueOnly logged in users canattempt or see the solution.
