Uniform probability distribution

Question

X is uniformly distributed random variable that takes values between 0 and 1.The value of E(X^3) will be

Answer 1

a=0 b=1

1/b-a=1

E(x^3)= integrate x3 from 0 to   1

Ans is 1/4

Answer 2

Answer

Comments

We know mean E(X) = (a+b)/2

From that we can find E(X^3)=

But why applying integral to that?

Answer 3

Here is the solution.

Answer 4

.