Noether Symmetry in f(T) Theory at the anisotropic universe

As it is well known, symmetry plays a crucial role in the theoretical physics. on other hand, the noether symmetry is a useful procedure to select models motivated at a fundamental level, and to discover the exact solution to the given lagrangian. in this work, noether symmetry in f(t) theory on a spatially homogeneous and anisotropic bianchi type i universe is considered. we discuss the lagrangian formalism of f(t ) theory in anisotropic universe. the point-like lagrangian is clearly constructed.the explicit form of f(t) theory and the corresponding exact solution are found by require- ment of noether symmetry and noether charge. a power-law f(t), the same as the frw universe, can satisfy the required noether symmetry in the anisotropic universe with power- law scale factor. it is regarded that positive expansion is satis ed by a constrain between parameters.