数学季刊 ›› 2014, Vol. 29 ›› Issue (4): 523-528.doi: 10.13371/j.cnki.chin.q.j.m.2014.04.007
摘要: Relation of definite integral and indefinite integral was discussed and an important result was gotten. If f(x) is bounded and has primary function, the formal definite integral \int^x_s \tilde{f}(t)dt is the indefinite integral of f(x), where x is a self-variable, s is a parameter,\tilde{f}(x) is a function defined in(-∞, +∞), which comes from f(x) by restriction and extension. In other words, the indefinite integral is a special form of definite integral, its lower integral limit and upper integral limit are all indefinite.
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