[题目]求 int dfrac (arctan {e)^x}({e)^2x}dx

( 单选题 ) int dfrac ({e)^x}(1+{e)^2x}dx=_________int dfrac ({e)^x}(1+{e)^2x}dx=int

(int )_(e)^+infty dfrac (dx)(x{ln )^2x}= __

求不定积分 int (e^arctan x + 2x ln (1 + x^2))/(1 + x^2) dx.求不定积分 $\int \frac{e^{\arct

(9) int dfrac (x{e)^arctan x}({(1+{x)^2)}^dfrac (3{2)}}dx ;

[题目]计算 (int )_(1)^+infty dfrac (arctan x)({x)^2}dx

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

(int )_(0)^1arctan dfrac (x)(2)dx=()(int )_(0)^1arctan dfrac (x)(2)dx=()(int )_(

计算不定积分int (e)^x((3)^x+dfrac ({e)^-x}({sin )^2x})dx-|||-__.计算不定积分.

int dfrac ({e)^x}({2)^x}dx;

求：int dfrac (arctan sqrt {x)}(sqrt {x)(1+x)}dx求：