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 (sin x)(x)dx (C) (int )_(-1)^1dfrac (dx)({x)^2} D) (int )_(-3)^0dfrac (dx)(1+x)

(B)| (x/(1+2)^2 (1+x^2)^2 dx=0.-|||-(C) (int )_(-1)^1dfrac (1)(sin x)dx=0. (D) (

证明反常积分(int )_(1)^+infty dfrac (sin {x)^3}(sqrt {{x)^3}}dx绝对收敛.证明反常积分绝对收敛.

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

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}

定积分(int )_(0)^1dfrac (2)({e)^-x+5}dx=_____.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

(4) (int )_(0)^+infty dfrac (dx)((1+x)(1+{x)^2)}

计算定积分(int )_(0)^1dfrac (x)(x+1)sqrt (1-{x)^2}dx.计算定积分.

计算下列定积分。-|||-(int )_(0)^1dfrac ({x)^4}(1+{x)^2}dx

1.判定下列各反常积分的收敛性,如果收敛,计算反常积分的值:-|||-(1) (int )_(1)^+infty dfrac (dx)({x)^4}-|||-(