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河南工业大学-会计-高等数学（一）(高起专...)
若f(x)={x,x≤1, 1/2*x^2,x>1,则∫2,0f(x)dx= A.-9/6, B.6/9 C.9/6 D.-6/9
设f(x)={1/x*sin^2*x,x≠0, 0,x=0,则f.(0)= A.-1 B.1 C.1/3 D.1/2
lim x→0 xsin1/x= A.0 B.1 C.∞ D.不存在
I=∫e^x(3+2^x)dx= A.3e^x -(2e)^x*1/ln2 +1 +C B.3e^x +(2e)^x*1/ln2 +1 +C C.e^x +(2e)^x*1/ln2 +1 +C D.e^x -(2e)^x*1/ln2 +1 +C
设函数f(x)=xe^x则f(6)(0)= A.6 B.0 C.e D.-e
I=∫xln xdx= A.x^2lnx +1/4x^2 +C B.1/2*x^2lnx -1/4x^2 +C C.1/2*x^2lnx +1/4x^2 +C D.1/2*x^2lnx -x^2 +C
设y=xarctanx,则y..(0)= A.-2 B.2 C.-1/2 D.1/2
抛物线y^2=2x与该曲线在点(1/2,1)处的法线所围成的图形D的 A.-16/3 B.-1/2 C.16/3 D.1/2
设limf(x)存在,且f(x)=x^2 +2xlimf(x),则limf(x)= A.2 B.-1 C.0 D.-2
设1/x为f(x)的原函数,则f(x)= A.-2/x^2 B.1/x^2 C.-1/x D.-1/x^2
如果点(1,3)是y=-3/2*x^3+bx^2的拐点,则常数b=() A.9/2 B.-2 C.2 D.-9/2
设则f(x)=ln4,limf(x+△x)-f(x)/△x= A.4 B.1/4 C.∞ D.0
(单选题) （ ）∫2,-1 |x^2 -x|dx=(本题2.5分)A.1*1/6 B.6/9 C.xe^x +C D.-6/9
(单选题) （ ）.I∫1,1 x^2(1+sin^3x)dx==(本题2.5分) A.-1 B.1 C.1/3 D.2/3
(单选题) ( )I=limx→0 tanx-sinx /x^2sinx(本题2.5分)A.-1/2 B.1/2 C.1/3 D.-1/3
设f(x)={1/x*sin^2*x,x≠0, 0,x=0,则f.(0)= A.-1 B.1 C.1/3 D.1/2
lim x→0 xsin1/x= A.0 B.1 C.∞ D.不存在
I=∫e^x(3+2^x)dx= A.3e^x -(2e)^x*1/ln2 +1 +C B.3e^x +(2e)^x*1/ln2 +1 +C C.e^x +(2e)^x*1/ln2 +1 +C D.e^x -(2e)^x*1/ln2 +1 +C
设函数f(x)=xe^x则f(6)(0)= A.6 B.0 C.e D.-e
I=∫xln xdx= A.x^2lnx +1/4x^2 +C B.1/2*x^2lnx -1/4x^2 +C C.1/2*x^2lnx +1/4x^2 +C D.1/2*x^2lnx -x^2 +C
设y=xarctanx,则y..(0)= A.-2 B.2 C.-1/2 D.1/2
抛物线y^2=2x与该曲线在点(1/2,1)处的法线所围成的图形D的 A.-16/3 B.-1/2 C.16/3 D.1/2
设limf(x)存在,且f(x)=x^2 +2xlimf(x),则limf(x)= A.2 B.-1 C.0 D.-2
设1/x为f(x)的原函数,则f(x)= A.-2/x^2 B.1/x^2 C.-1/x D.-1/x^2
如果点(1,3)是y=-3/2*x^3+bx^2的拐点,则常数b=() A.9/2 B.-2 C.2 D.-9/2
设则f(x)=ln4,limf(x+△x)-f(x)/△x= A.4 B.1/4 C.∞ D.0
(单选题) （ ）∫2,-1 |x^2 -x|dx=(本题2.5分)A.1*1/6 B.6/9 C.xe^x +C D.-6/9
(单选题) （ ）.I∫1,1 x^2(1+sin^3x)dx==(本题2.5分) A.-1 B.1 C.1/3 D.2/3
(单选题) ( )I=limx→0 tanx-sinx /x^2sinx(本题2.5分)A.-1/2 B.1/2 C.1/3 D.-1/3