Skip to main content
Mathematica

Return to Question

Bumped by Community user
Bumped by Community user
deleted 3 characters in body; edited title
Source Link
Αλέξανδρος Ζεγγ
Αλέξανδρος Ζεγγ
  • 9.9k
  • 3
  • 20
  • 43

How to force an expression to be shown in termterms of a specific function?

I have an integral inte1 as below:-

f[x_] := PDF[NormalDistribution[0, 1], x];
F[x_] := CDF[NormalDistribution[0, 1], x];
inte1 = Integrate[f[x]*x^2, {x, -∞, k}] // FullSimplify

Whichwhich is:-

enter image description here

But I want to show it in terms of F[x]:-

enter image description here

How can I achieve this? Many thanks!

How to force an expression to be shown in term of a specific function?

I have an integral inte1 as below:-

f[x_] := PDF[NormalDistribution[0, 1], x];
F[x_] := CDF[NormalDistribution[0, 1], x];
inte1 = Integrate[f[x]*x^2, {x, -∞, k}] // FullSimplify

Which is:-

enter image description here

But I want to show it in terms of F[x]:-

enter image description here

How can I achieve this? Many thanks!

How to force an expression to be shown in terms of a specific function?

I have an integral inte1 as below:

f[x_] := PDF[NormalDistribution[0, 1], x];
F[x_] := CDF[NormalDistribution[0, 1], x];
inte1 = Integrate[f[x]*x^2, {x, -∞, k}] // FullSimplify

which is:

enter image description here

But I want to show it in terms of F[x]:

enter image description here

How can I achieve this? Many thanks!

deleted 10 characters in body
Source Link
kglr
kglr
  • 400.5k
  • 18
  • 488
  • 929

How to force an expression to be shown in term of a specific funtionfunction?

I have an integral inte1 as below:-

f[x_] := PDF[NormalDistribution[0, 1], x];
F[x_] := CDF[NormalDistribution[0, 1], x];
inte1 = Integrate[f[x]*x^2, {x, -\[Infinity]∞, k}] // FullSimplify

Which is:-

enter image description here

But I want to show it in terms of F[x]:-

enter image description here

How can I achieve this? Many thanks!

How to force an expression to be shown in term of a specific funtion?

I have an integral inte1 as below:-

f[x_] := PDF[NormalDistribution[0, 1], x];
F[x_] := CDF[NormalDistribution[0, 1], x];
inte1 = Integrate[f[x]*x^2, {x, -\[Infinity], k}] // FullSimplify

Which is:-

enter image description here

But I want to show it in terms of F[x]:-

enter image description here

How can I achieve this? Many thanks!

How to force an expression to be shown in term of a specific function?

I have an integral inte1 as below:-

f[x_] := PDF[NormalDistribution[0, 1], x];
F[x_] := CDF[NormalDistribution[0, 1], x];
inte1 = Integrate[f[x]*x^2, {x, -∞, k}] // FullSimplify

Which is:-

enter image description here

But I want to show it in terms of F[x]:-

enter image description here

How can I achieve this? Many thanks!

Source Link
H42
H42
  • 3.5k
  • 8
  • 19

How to force an expression to be shown in term of a specific funtion?

I have an integral inte1 as below:-

f[x_] := PDF[NormalDistribution[0, 1], x];
F[x_] := CDF[NormalDistribution[0, 1], x];
inte1 = Integrate[f[x]*x^2, {x, -\[Infinity], k}] // FullSimplify

Which is:-

enter image description here

But I want to show it in terms of F[x]:-

enter image description here

How can I achieve this? Many thanks!