题目
7.计算下列定积分:-|||-(1) (int )_(0)^1x(e)^-xdx ;-|||-(2)(int )_(1)^xxln xdx;-|||-(3) (int )_(0)^dfrac (2pi {w)}tsin wtdt (w为常数);-|||-(4)(int )_(dfrac {pi )(4)}^dfrac (pi {3)}dfrac (x)({sin )^2x}dx;-|||-(5) (int )_(1)^4dfrac (ln x)(sqrt {x)}dx :-|||-(6) (int )_(0)^1xarctan xdx;-|||-(7) (int )_(0)^dfrac (pi {2)}(e)^2xcos xdx =-|||-(8)|xlog2xdx;-|||-(9) (int )_(0)^pi ((xsin x))^2dx ;-|||-(10)|sin(ln x)dx;-|||-(11) (int )_(dfrac {1)(x)}^c|ln x|dx ,-|||-(12) (int )_(0)^1((1-{x)^2)}^dfrac (m{2)}dx(min (N)_(+)) ;-|||-(13) _(m)=(int )_(0)^pi x(sin )^mxdx(min (N)_(+)) .

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