积分 int_(0)^1 xe^2x , dx = ____.

14、计算定积分int_(1)^e(ln^2x)/(x)dx.14、计算定积分$\int_{1}^{e}\frac{\ln^{2}x}{x}dx$.

【例4】已知函数f(x)在[-1,2]上连续，且int_(-1)^0f(x)dx=2，int_(0)^1f(2x)dx=1，则int_(-1)^2f(x)dx=

int f(x), dx = xe^x + C，则 int f(2x), dx = ( )A. $2xe^{2x} + C$B. $2xe^x + C$C. $

2.(2020山东高数Ⅲ)已知函数f(x)在[-1,2]上连续，且int_(-1)^0f(x)dx=2,int_(0)^1f(2x)dx=1,则int_(-1)

广义积分int_(1)^+infty(1)/(x^2)dx=（）A. 0B. 1C. -1D. 3

定积分 int_(0)^1 (1)/(1 + sqrt(x)) dx = ( )A. $1 - 2\ln 2$B. $2 - \ln 2$C. $2 - 2\l

求不定积分int dfrac (1)(2x)sqrt (ln x)dx=（）.int dfrac (1)(2x)sqrt (ln x)dx=int dfrac

在下列积分中改变累次积分的顺序:-|||-(1) (int )_(0)^2dx(int )_({x)^2x}f(x,y)dy;-|||-(2) (int )_(

140.(2023·安徽)计算定积分int_(-1)^1((1-e^x)/(1+e^x)+xe^x)dx.140.(2023·安徽)计算定积分$\int_{-1

不定积分 int xe^x dx = ( )A. $xe^x + x + C$B. $xe^x - x + C$C. $xe^x + e^x + C$D. $x