Answer:
5 1/3
Step-by-step explanation:
You want the value of the definite integral of (x² +5) on the interval [0, 1].
Integral
The power rule applies:
∫(x^n)dx = (x^(n+1))/(n+1)
This means the integral is ...
[tex]\displaystyle \int_0^1{(x^2+5)}\,dx=\left(\dfrac{x^3}{3}+5x\right)_0^1=\dfrac{1}{3}+5[/tex]
The value of y is 5 1/3.
