(14)int(e^x)/(1+e^x)dx;(14)$\int\frac{e^{x}}{1+e^{x}}dx;$
4.求下列不定积分(其中a,b为常数):-|||-(1) int dfrac (dx)({e)^x-(e)^-x} ;-|||-(3) int dfrac ({
4.求不定积分int(x+1)/((x-1)(x^2)+1)^(2)dx.4.求不定积分$\int\frac{x+1}{(x-1)(x^{2}+1)^{2}}d
例2 求 int dfrac (dx)(1+{x)^2} =
140.(2023·安徽)计算定积分int_(-1)^1((1-e^x)/(1+e^x)+xe^x)dx.140.(2023·安徽)计算定积分$\int_{-1
求-|||-(1) (int )_(-1)^1f(x)dx;-|||-(2)f(x)dx;-|||-(3) (int )_(3)^-1g(x)dx;-|||-(
求定积分 int_(1)^e (ln x)/(x)dx ( )。A. 1B. $\frac{1}{2}$C. $-\frac{1}{2}$D. -1
[例3] (int )_(0)^+infty dfrac (x{e)^-x}({(1+{e)^-x)}^2}dx
求(int )_(-1)^1xln (1+(e)^x)dx.求.
4.求定积分int_(-2)^2(x+|x|)/(2+x^2)dx.4.求定积分$\int_{-2}^{2}\frac{x+|x|}{2+x^{2}}dx$.