根號1又16分之九等於?
根號1又16分之九=√(25/16)=5/4
根號下264×根號下16/9等於多少
=2√66×4/3
=8√66/3
根號下264×根號下9/16等於多少
√264*√(9/16)
=2√66*(3/4)
=√66/3
根號下1+16分之9等於?
1+16/9=25/16開根號等於5/4
根號內1-9/16等於多少
四分之根號七
根號下(1+sinx)不定積分
1+sinx=(sin(x/2)+cos(x/2))^2
即原式=∫(sin(x/2)+cos(x/2))dx
=2∫sin(x/2)d(x/2)+2∫cos(x/2)d(x/2)
=2sin(x/2)-2cos(x/2)
對根號sinx求不定積分
設sin x為u
囙此∫√(sin x)dx=-1/(2√-cos x)d(sin x)+C=-cos x/(2√-cos x)+C
∫根號x*(x^2-5)dx求不定積分
原式=∫x^(1/2)*(x^2-5)dx
=∫[x^(5/2)-5x^(1/2)]dx
=2/7*x^(7/2)-10/3*x^(3/2)+C
計算定積分∫2(上)1(下)(根號X-1)dx
2/3
(x-1)^(1/2)的原函數是2/3(x-1)^(3/2)分別代入x=2,1相减就行了
計算定積分:§0-4 dx/(1+根號x)
§0-4 dx/(1+根號x)u =根號x,u^2 = x,dx = 2udu,x = 0,u = 0,x = 4,u = 2§0-4 dx/(1+根號x)=§0-2 1/(1+u)*2udu =§0-2(2 - 2/(1+u))du = [2u - 2ln(1+u)] _0-2 = 4 - 2ln3