Cubic Function

[CoMPLeX]

PART 1:
Your task in Part 1 is to write a program that takes in:
1. the 4 coefficients of a third degree polynomial ial (ax3 + bx2 + cx + d ),
2. the range of the integral (starting and ending x values),
3. number of bins to be used
and calculates the Riemann sum approximation to the integral.


PART 2:
The Riemann sum only gives an approximation to the integral. We could in fact calculate
the actual value using the definition of the integral. For polynomials, the actual value of
the integral is found by:
1. For each term raise the power by one, and divide the term with the raised power
2. Plug in (1) the value of the bounding x value on the right
3. Plug in (1) the value of the bounding x value on the left
4. Find the difference between (2) and (3)


please help me I couldn't write the program

[svlsr2000]

PART 1:
Your task in Part 1 is to write a program that takes in:
1. the 4 coefficients of a third degree polynomial ial (ax3 + bx2 + cx + d ),
2. the range of the integral (starting and ending x values),
3. number of bins to be used
and calculates the Riemann sum approximation to the integral.


PART 2:
The Riemann sum only gives an approximation to the integral. We could in fact calculate
the actual value using the definition of the integral. For polynomials, the actual value of
the integral is found by:
1. For each term raise the power by one, and divide the term with the raised power
2. Plug in (1) the value of the bounding x value on the right
3. Plug in (1) the value of the bounding x value on the left
4. Find the difference between (2) and (3)


please help me I couldn't write the program

Can you post part of code where you are struck.

[r035198x]

PART 1:
Your task in Part 1 is to write a program that takes in:
1. the 4 coefficients of a third degree polynomial ial (ax3 + bx2 + cx + d ),
2. the range of the integral (starting and ending x values),
3. number of bins to be used
and calculates the Riemann sum approximation to the integral.


PART 2:
The Riemann sum only gives an approximation to the integral. We could in fact calculate
the actual value using the definition of the integral. For polynomials, the actual value of
the integral is found by:
1. For each term raise the power by one, and divide the term with the raised power
2. Plug in (1) the value of the bounding x value on the right
3. Plug in (1) the value of the bounding x value on the left
4. Find the difference between (2) and (3)


please help me I couldn't write the program

Please read the guidelines.

[Ganon11]

The thread title has been changed.

[JosAH]

please help me I couldn't write the program

Well, your keyboard and internet connection seem fine. What's the trouble then?
For those Riemann sums you just add the (signed) areas of little blocks; each
block has a width (lo-hi)/b where lo and high are the lower and upperbounds of
your x interval and b equals the number of bins.

The height differs per block; for an x in [lo hi] the height of the block is f(x)
where f() is your cubic function.

Basically it's just a for loop and a bit of bookkeeping.

Analytical integration is even easier; check your text book for that.

kind regards,

Jos