若∫f(x)dx=x+C，则∫xf(1-x2)dx=______
A: 2(1-x2)+C
B: -2(1-x2)+C
C: -1/2(1-x 2 ) 2 +C
D: 1/2(1-x 2 ) 2 +C
A: 2(1-x2)+C
B: -2(1-x2)+C
C: -1/2(1-x 2 ) 2 +C
D: 1/2(1-x 2 ) 2 +C
举一反三
- 若∫f(x)dx=x2+c，则∫xf(1-x2)dx=( )． A: 2(1-x2)2+c B: -2(1-x2)2+c C: -1/2(1-x 2 ) 2 +C D: 1/2(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: \( - 2{(1 - {x^2})^2} + C \)
- 若不定积分∫f(x)dx=x2＋c，则不定积分∫xf(1－x2)dx=()．(A)－2(1－x2)2＋c(B)2(1－x2)2＋c(C)(D)若不定积分∫f(x)dx=x2+c，则不定积分∫xf(1-x2)dx=( )．
- 17e0b849b7d64bd.jpg,计算[img=19x34]17e0ab14a855463.jpg[/img]实验命令为(). A: syms x;f=diff(asinsqrt(x))f=1/2/x^(1/2)/(1-x)^(1/2) B: f=diff(asin(sqrt(x)))f=1/2/x^(1/2)/(1-x)^(1/2) C: syms x;diff(asin(sqrt(x)))f=1/2/x^(1/2)/(1-x)^(1/2)
- 17da42840675a6d.jpg,计算[img=19x34]17da4275482315f.jpg[/img]实验命令为(). A: syms x;f=diff(asinsqrt(x))f=1/2/x^(1/2)/(1-x)^(1/2) B: f=diff(asin(sqrt(x)))f=1/2/x^(1/2)/(1-x)^(1/2) C: syms x;diff(asin(sqrt(x)))f=1/2/x^(1/2)/(1-x)^(1/2)