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定积分运算是求导的逆运算,如果对求导运算不熟练,搞不清被积函数中的字母哪个是自变量即积分变量,哪个是参数,那么在计算时就容易出错.下面作简要归纳,以便同学们走出定积分运算的误区.一、由f(x)求原函数F(x)时不注意验证例1,求定积分integral from n=0 to 1n 2(e~x)(1+e~(2x))dx.错解:integral from n=0 to 1n 2(e~(2x))dx=
The definite integral operation is the inverse operation of the derivation, if it is unskilled to the derivation operator, can not figure out which letter in the integrand function is the independent variable, which is the integral variable and which is the parameter, then the calculation is easy to make mistakes. Induction, so that students go out the error of the definite integral operation.First, by the original function f (x) F (x) does not pay attention to the verification of Example 1, the integral is determined from n = 0 to 1n 2 (e ~ x) ( 1 + e ~ (2x)) dx. Decomposition: integral from n = 0 to 1n 2 (e ~ (2x)) dx =