int_(0)^pi/2(cos x+2)dx=( ).

设 M=int_(-(pi)/(2))^(pi)/(2) (sin x)/(1+x^2) cos^4 x dx，N=int_(-(pi)/(2))^(pi)/(

(d)/(dx)int_(sin x)^cos x cos(pi t^2) , dt = ( ). $\frac{d}{dx}\int_{\sin x}^{\c

(15)int_(-(pi)/(2))^(pi)/(2)sqrt(cos x-cos^3)xdx;(15)$\int_{-\frac{\pi}{2}}^{\fr

(int )_(0)^dfrac (pi {4)}dfrac (x)(1+cos 2x)dx=( ) .(int )_(0)^dfrac (pi {4)}dfr

【例10】已知f(x)连续，int_(0)^xtf(x-t)dt=1-cos x，求int_(0)^(pi)/(2)f(x)dx的值.【例10】已知f(x)连续

例: (int )_(0)^dfrac (pi {2)}(cos )^2dfrac (x)(2)dx= __ .

(15)(int )_(0)^pi xsqrt ({cos )^2x-(cos )^4x}dx= __

46.【2020河南】计算定积分int_(0)^(pi)/(4)(1)/(cos^2)x+3dx.46.【2020河南】计算定积分$\int_{0}^{\fra

int_(0)^asqrt(a^2)-x^(2)dx一、简答题（共10题，100.0分）6.（简答题，10.0分）$\int_{0}^{a}\sqrt{a^{2

(int )_(-dfrac {pi )(2)}^dfrac (pi {2)}((cos )^2x+dfrac (xcos x)(1+{cos )^2x})dx