int_(1)^e^2 ((rm dx)/(xsqrt(1+ln x)) )

1.计算下列定积分:-|||-(16)(int )_(1)^(e^2)dfrac (dx)(xsqrt {1+ln x)};

(d)/(dx) int_(1)^x x ln (x^2 + 1) , dx = $\frac{d}{dx} \int_{1}^{x} x \ln (x^2 +

(int )_(1)^edfrac (dx)(xsqrt {1-{(ln x))^2}}..

int dfrac (1+ln x)({(xln x))^2}dx..

(6) int dfrac (1+ln x)({(xln x))^2}dx

求定积分 int_(1)^e (ln x)/(x)dx ( )。A. 1B. $\frac{1}{2}$C. $-\frac{1}{2}$D. -1

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

(4)int_(1)^4(ln x)/(sqrt(x))dx;(4)$\int_{1}^{4}\frac{\ln x}{\sqrt{x}}dx;$

积分 (int )_(-1)^edfrac (1)(x)dx=ln e-ln |-1|=1 (int )_(-1)^edfrac (1)(x)dx=ln e-l

(2) int xsqrt (x-1)dx;