几个高数题.积分..不用完全解答..做的差不多给个思路就可以.积分.X^(1/2) * e^(X^(1/2)) dx积分.X * _数学解答

几个高数题.积分..
不用完全解答..做的差不多给个思路就可以.
积分.X^(1/2) * e^(X^(1/2)) dx
积分.X * (sinx)^2 * cosx dx
积分.1/(X + X * X^(1/2))
积分.(1 + X^(1/2))^8
每个题后面都有个dx..后面俩题忘写了.

人气：107 ℃　时间：2020-09-26 00:30:54

解答

积分.X^(1/2) * e^(X^(1/2)) dxx^1/2 = t,x = t^2积分.t * e^t dt^2= 2积分.t^2 * e^t dt= 2积分.t^2 de^t= 2(t^2 e^t - 积分.e^t dt^2)= 2(t^2 e^t - 2积分.te^t dt)= 2(t^2 e^t - 2(te^t - 积分.e^t dt))= 2(t^2 e...