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¡¾Abstract¡¿The purpose of this text research is to aim at several the property and sketch, operation is in the application in the integral calculus and make use of symmetry to simplify problem-solving process. Give strange function and even function of definition, discussed to make use of function of strange accidentally sex solve definite integral, heavy integral calculus¡¯s, such as integral calculus, line integral calculus and area cent...etc..While making use of symmetry to solve an integral calculus problem, generally is divided into two kinds of following circumstances: on being an integral calculus district to have a certain and symmetry, can directly make use of symmetry to carry on solving to the problem; Another circumstance is an integral calculus district don't have a certain and symmetry, or the symmetry had isn't obvious, to this method that applies a conversion, construct symmetry according to the problem characteristics. In the process of solving a problem, if can well consider the symmetry of problem and make use of it, usually attain the effect of half effort and double results.
¡¾Key words¡¿strange function and even function£»symmetry£»Integration
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