求定积分 int_(1)^e (ln x)/(x)dx ( )。A. 1B. $\frac{1}{2}$C. $-\frac{1}{2}$D. -1
(d)/(dx) int_(1)^x x ln (x^2 + 1) , dx = $\frac{d}{dx} \int_{1}^{x} x \ln (x^2 +
设p为常数,若反常积分 (int )_(0)^1dfrac (ln x)({x)^p((1-x))^1-p}dx 收敛,则p的取值范围是 () .-|||-(A
(4)int_(1)^4(ln x)/(sqrt(x))dx;(4)$\int_{1}^{4}\frac{\ln x}{\sqrt{x}}dx;$
17.计算int_(1)^2dyint_(sqrt(y-1))^1(sin x)/(x)dx.17.计算$\int_{1}^{2}dy\int_{\sqrt{y
求：int dfrac (1-ln x)({(x-ln x))^2}dx求：
求不定积分int dfrac (1)(2x)sqrt (ln x)dx=（）.int dfrac (1)(2x)sqrt (ln x)dx=int dfrac
设 M=int_(-(pi)/(2))^(pi)/(2) (sin x)/(1+x^2) cos^4 x dx，N=int_(-(pi)/(2))^(pi)/(
【例10】已知f(x)连续，int_(0)^xtf(x-t)dt=1-cos x，求int_(0)^(pi)/(2)f(x)dx的值.【例10】已知f(x)连续
int_(1)^e^2 ((rm dx)/(xsqrt(1+ln x)) )$\int_{1}^{e^2} {\frac{\rm dx}{x\sqrt{1+\l