高等数学(工专)
VIP题库
计算下列不定积分: (1)∫xcosxdx; (2)∫lnxdx; (3)∫arccosxdx; (4)∫xe-xdx; (5)∫fxln(x2+1)dx; (6)∫xsin2xdx; (7)∫xtan2xdx; (8)∫xe-(x/2)dx; (9)∫fxarcsinxdx; (10)∫ln2xdx; (11)∫x2sin2xdx; (12)∫(ln3x/x2)dx; (13)∫e-2xcosxdx; (14)∫ln(x+√x2+1)dx; (15)∫e√xdx; (16)∫(arccosx/√1-x)dx; (17)∫xsinxcosxdx; (18)∫(xcosx/sin3x)dx; (19)∫x2/(1+x2)≥arctanxdx; (20)∫sin(lnx)dx.
∫tan4xdx
求抛物线y=-x2+4x-3及在点(3,0)处的切线与直线x=2所围平面图形的面积.
求由曲线y=1/x与直线y′=x及x=2所围图形的面积.
∫1/√1+exdx
设f(x)在[-α,α]上连续,则∫-ααsinx[f(x)+f(-x)]dx
微分方程y′+y/x=1/x(x2+1)的通解是_____.
计算∫01x2√1-x2dx.
物体作直线运动,其速度V是时间t的函数,已知V(t)=4+(1/4)t,则物体从时刻t=10到时刻t=12所运动的距离S=____.
计算∫01[1/(1+ex)]dx.
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