Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Problem
Problem Let F ( x ) = ∫ sin x cos x e t + sin − 1 ( t ) 2 d t F(x) = \int_{\sin x}^{\cos x} e^{t + \sin^{-1}(t)^2} dt F ( x ) = ∫ s i n x c o s x e t + s i n − 1 ( t ) 2 d t [ 0 , π 2 ] \left[0, \frac{\pi}{2}\right] [ 0 , 2 π ] F ′ ′ ( c ) = 0 F''(c) = 0 F ′′ ( c ) = 0 c ∈ ( 0 , π 2 ) c \in \left(0, \frac{\pi}{2}\right) c ∈ ( 0 , 2 π ) F ′ ′ ( c ) = 0 F''(c) = 0 F ′′ ( c ) = 0 c ∈ ( 0 , π 2 ) c \in \left(0, \frac{\pi}{2}\right) c ∈ ( 0 , 2 π ) F ′ ( c ) = 0 F'(c) = 0 F ′ ( c ) = 0 c ∈ ( 0 , π 2 ) c \in \left(0, \frac{\pi}{2}\right) c ∈ ( 0 , 2 π ) F ( c ) ≠ 0 F(c) \neq 0 F ( c ) = 0 c ∈ ( 0 , π 2 ) c \in \left(0, \frac{\pi}{2}\right) c ∈ ( 0 , 2 π ) Browse the problem library