1.∫e的x方 / 3的x方 DX
问题描述:
1.∫e的x方 / 3的x方 DX
2.∫(1+x)的平方/根号x DX
3.∫(x方-4)/(x+2) DX
4.∫1/1-2x DX
5.∫ln(x+1)DX
答
1.被积分的函数=(e/3)^x则∫(e/3)^x dx=∫[ln(e/3)(e/3)^x ]dx /ln(e/3)=(e/3)^x /ln(e/3) +c2.被积分的函数=x^(3/2)+2x^(1/2)+x^(-1/2)三部分分别积分∫·x^(3/2)+2x^(1/2)+x^(-1/2)〔〕dx=2/5 x^(5/2)+2/3 x^(3/2)...