(d)/(dx) int_(1)^x x ln (x^2 + 1) , dx =

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

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

int_(1)^e^2 ((rm dx)/(xsqrt(1+ln x)) )$\int_{1}^{e^2} {\frac{\rm dx}{x\sqrt{1+\l

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

(d)/(dx)int_(1)^x^(2)sin tdt= （ ）A. 2xsin x²B. sint²C. sin x²D. 2tsint²

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

11.设int_(1)^+infty(a)/(x(2x+a))dx=ln2，则a=____.11.设$\int_{1}^{+\infty}\frac{a}{x(

设int_(-1)^13f(x)dx=18，int_(-1)^3f(x)dx=4，int_(-1)^3g(x)dx=3。则int_(-1)^3(1)/(5)[4

int ln (sqrt (1+{x)^2}-x)dx;

int dfrac (ln x-1)({x)^2}dx=______________________