化简分式[img=229x50]1803072e13a5b44.png[/img]可以使用 A: Together[1/(x+1)-((x+3)/(x^2-1))(x^2-2x+1)/(x^2+4x+3)] B: Simplify[1⁄(x+1)-((x+3)⁄(x^2-1))((x^2-2x+1)⁄(x^2+4x+3))] C: Reduce[1⁄(x+1)-((x+3)⁄(x^2-1))((x^2-2x+1)⁄(x^2+4x+3))] D: Apart[1⁄(x+1)-((x+3)⁄(x^2-1))((x^2-2x+1)⁄(x^2+4x+3))]
化简分式[img=229x50]1803072e13a5b44.png[/img]可以使用 A: Together[1/(x+1)-((x+3)/(x^2-1))(x^2-2x+1)/(x^2+4x+3)] B: Simplify[1⁄(x+1)-((x+3)⁄(x^2-1))((x^2-2x+1)⁄(x^2+4x+3))] C: Reduce[1⁄(x+1)-((x+3)⁄(x^2-1))((x^2-2x+1)⁄(x^2+4x+3))] D: Apart[1⁄(x+1)-((x+3)⁄(x^2-1))((x^2-2x+1)⁄(x^2+4x+3))]
求函数[img=148x49]17da6537a5eee98.png[/img]的导数; ( ) A: 1/(x^2*(2/x^2 + 1)) B: -1/(x^2*(2/x^2 + 1)) C: (x^2*(2/x^2 + 1)) D: -1/(x^2*(2/x^2 + 1))+2/x^2 + 1
求函数[img=148x49]17da6537a5eee98.png[/img]的导数; ( ) A: 1/(x^2*(2/x^2 + 1)) B: -1/(x^2*(2/x^2 + 1)) C: (x^2*(2/x^2 + 1)) D: -1/(x^2*(2/x^2 + 1))+2/x^2 + 1
在区间[-1,1]上满足罗尔定理条件的函数是 A: y=2x B: y=x C: y=1-x^2 D: y=x^2-2x+1
在区间[-1,1]上满足罗尔定理条件的函数是 A: y=2x B: y=x C: y=1-x^2 D: y=x^2-2x+1
【单选题】对任意实数x 1 , y 1 , x 2 , y 2 , x 1 < x 2 , y 1 < y 2 , 分布函数P{x 1 <X≤x 2 , y 1 <Y≤y 2 }=? A. F(x 2 , y 2 )+ F(x 1 , y 1 )+ F(x 1 , y 2 )+ F(x 2 , y 1 ) B. F(x 2 , y 2 )- F(x 1 , y 1 )+ F(x 1 , y 2 )- F(x 2 , y 1 ) C. F(x 2 , y 2 )+ F(x 1 , y 1 )- F(x 1 , y 2 )- F(x 2 , y 1 ) D. F(x 2 , y 2 )- F(x 1 , y 1 )- F(x 1 , y 2 )+ F(x 2 , y 1 )
【单选题】对任意实数x 1 , y 1 , x 2 , y 2 , x 1 < x 2 , y 1 < y 2 , 分布函数P{x 1 <X≤x 2 , y 1 <Y≤y 2 }=? A. F(x 2 , y 2 )+ F(x 1 , y 1 )+ F(x 1 , y 2 )+ F(x 2 , y 1 ) B. F(x 2 , y 2 )- F(x 1 , y 1 )+ F(x 1 , y 2 )- F(x 2 , y 1 ) C. F(x 2 , y 2 )+ F(x 1 , y 1 )- F(x 1 , y 2 )- F(x 2 , y 1 ) D. F(x 2 , y 2 )- F(x 1 , y 1 )- F(x 1 , y 2 )+ F(x 2 , y 1 )
(x^2-2x+1,x^2-3x+2)=
(x^2-2x+1,x^2-3x+2)=
若\( \int {f(x)dx = {x^2} + C} \),则\( \int {xf(1 - {x^2})dx = } \)( ) A: \( 2{(1 - {x^2})^2} + C \) B: \( - {1 \over 2}{(1 - {x^2})^2} + C \) C: \( {1 \over 2}{(1 - {x^2})^2} + C \) D: \( - 2{(1 - {x^2})^2} + C \)
若\( \int {f(x)dx = {x^2} + C} \),则\( \int {xf(1 - {x^2})dx = } \)( ) A: \( 2{(1 - {x^2})^2} + C \) B: \( - {1 \over 2}{(1 - {x^2})^2} + C \) C: \( {1 \over 2}{(1 - {x^2})^2} + C \) D: \( - 2{(1 - {x^2})^2} + C \)
积分[img=136x52]1803d6afd4e6f95.png[/img]的计算程序和结果是 A: clearsyms xy=1/x^2/sqrt(x^2-1)int(y,x,-2,-1)3^(1/2)/2 B: clearsyms xint(1/x^2/sqrt(x^2-1),x,-2,-1)3^(1/2)/2 C: clearsyms xint(1/x/sqrt(x^2-1),x,-2,-1)-pi/3 D: clearsyms xint(1/x/sqrt(x^2-1),x,-2,-1)3^(1/2)/2 E: clearsyms xint(1/x^2*sqrt(x^2-1),x,-2,-1)log(3^(1/2) + 2) - 3^(1/2)/2
积分[img=136x52]1803d6afd4e6f95.png[/img]的计算程序和结果是 A: clearsyms xy=1/x^2/sqrt(x^2-1)int(y,x,-2,-1)3^(1/2)/2 B: clearsyms xint(1/x^2/sqrt(x^2-1),x,-2,-1)3^(1/2)/2 C: clearsyms xint(1/x/sqrt(x^2-1),x,-2,-1)-pi/3 D: clearsyms xint(1/x/sqrt(x^2-1),x,-2,-1)3^(1/2)/2 E: clearsyms xint(1/x^2*sqrt(x^2-1),x,-2,-1)log(3^(1/2) + 2) - 3^(1/2)/2
(x^2-2x+1,x+1)
(x^2-2x+1,x+1)
∫xe^(x^2)dx=( ) A: 1/2(e^(x^2)) B: 1/2(e^(x^2))+C C: -1/2(e^(x^2)) D: -1/2(e^(x^2))十C
∫xe^(x^2)dx=( ) A: 1/2(e^(x^2)) B: 1/2(e^(x^2))+C C: -1/2(e^(x^2)) D: -1/2(e^(x^2))十C
函数\(y = {\left( {\arcsin x} \right)^2}\)的导数为( ). A: \(2\arcsin x{1 \over {\sqrt {1 - {x^2}} }}\) B: \( - 2\arcsin x{1 \over {\sqrt {1 - {x^2}} }}\) C: \(2\arcsin x{1 \over {\sqrt {1 + {x^2}} }}\) D: \( - 2\arcsin x{1 \over {\sqrt {1 + {x^2}} }}\)
函数\(y = {\left( {\arcsin x} \right)^2}\)的导数为( ). A: \(2\arcsin x{1 \over {\sqrt {1 - {x^2}} }}\) B: \( - 2\arcsin x{1 \over {\sqrt {1 - {x^2}} }}\) C: \(2\arcsin x{1 \over {\sqrt {1 + {x^2}} }}\) D: \( - 2\arcsin x{1 \over {\sqrt {1 + {x^2}} }}\)