Split up the interval [0, 2] into <em>n</em> equally spaced subintervals:
![\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac2n%5Cright%5D%2C%5Cleft%5B%5Cdfrac2n%2C%5Cdfrac4n%5Cright%5D%2C%5Cleft%5B%5Cdfrac4n%2C%5Cdfrac6n%5Cright%5D%2C%5Cldots%2C%5Cleft%5B%5Cdfrac%7B2%28n-1%29%7Dn%2C2%5Cright%5D)
Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,
where 
. Each interval has length 
.
At these sampling points, the function takes on values of
We approximate the integral with the Riemann sum:
Recall that
so that the sum reduces to
Take the limit as <em>n</em> approaches infinity, and the Riemann sum converges to the value of the integral:
Just to check:
Answer:
For this, first you must multiply the exponent, which in this case is 1.06^15,
and this gives you 2.39655819.
You then multiply 2.39655819 by 200000.
y = 479311.638
Answer:
(-2,-1)
Step-by-step explanation:
y=2x+3
y=3x+5
so y=y
then:
2x+3=3x+5
3-5= 3x-2x
-2= X
x=-2
Answer:
x= -2 or -3
Step-by-step explanation:
Let's solve your equation step-by-step.
x^2+5x+6=0
Step 1: Factor left side of equation.
(x+2)(x+3)=0
Step 2: Set factors equal to 0.
x+2=0 or x+3=0
x=−2 or x=−3
just a rough estimate!
