5.应用积分号下的积分法,求下列积分:-|||-(1) (int )_(0)^1sin (ln dfrac (1)(x))dfrac ({x)^b-(x)^a}(ln x)dx(bgt agt 0) ;-|||-(2) (int )_(0)^1cos (ln dfrac (1)(x))dfrac ({x)^b-(x)^a}(ln x)dx(bgt agt 0).

求不定积分int [ ln (ln x)+dfrac (1)(ln x)] dx-|||-__。求不定积分。

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

1.以下各积分不属于反常积分的是 () .-|||-(A) (int )_(0)^+infty ln (1+x)dx (B) (int )_(0)^1dfrac

5.计算下列不定积分:-|||-(1) int dfrac (ln x-1)({x)^2}dx ;

不定积分int dfrac (1)(x(1-3ln x))dx=__________不定积分__________

求不定积分int (x)^2(ln x-dfrac (1)(1+{x)^2})dx.求不定积分.

[题目]计算不定积分 int ln (1+sqrt (dfrac {1+x)(x)})dx(xgt 0).

求不定积分 int dfrac (1)({x)^3}ln xdx

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

5.求不定积分 int dfrac ({sin )^2x}(1+{sin )^2x}dx.