求
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求
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int dfrac (1+ln x)({(xln x))^2}dx..
求不定积分int (x)^2(ln x-dfrac (1)(1+{x)^2})dx.求不定积分.
[例3]求极限 lim _(narrow infty )(int )_(0)^1(x)^nsqrt (1+{x)^2}dx.
求int xsqrt (x-1)dx.求.
( 单选题 ) int dfrac ({e)^x}(1+{e)^2x}dx=_________int dfrac ({e)^x}(1+{e)^2x}dx=int
=(int )_(-1)^1(f(x)+f(-x)+x} cdot ln (sqrt (1+{x)^2}+x)dx..
求下列不定积分:int dfrac (sin xcos x)(1+{sin )^4x}dx.求下列不定积分:.
.int dfrac (sqrt {1+{x)^2}+sqrt (1-{x)^2}}(sqrt {1-{x)^4}}dx.
求定积分(int )_(-1)^1((x)^2+2x-3)dx.求定积分.
int dfrac (dx)(sqrt {1+{e)^x}}