Please HeLp with definite integral

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Homework Help Overview

The discussion revolves around evaluating a definite integral of the function (1 + 3x) over the interval from -1 to 5. Participants are exploring their calculations and interpretations of the integral.

Discussion Character

  • Mathematical reasoning, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants are sharing their attempts at calculating the definite integral and expressing confusion over their results. There are questions about the correctness of properties used and calculations performed, particularly regarding the evaluation of the integral at the specified limits.

Discussion Status

Some participants have provided guidance on recalling the formula for definite integrals and have requested more detailed workings to assist in troubleshooting the calculations. There is an ongoing exploration of different interpretations of the integral's evaluation.

Contextual Notes

There is mention of potential issues with calculator settings affecting the results, as well as a participant expressing uncertainty about the properties being applied in their calculations.

keltix
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Homework Statement


definite integrals (1 + 3x) dx from (-1,5)





The Attempt at a Solution


i keep getting 6+54 but it should be 6+36

i think i might be using the wrong property

or multiplying wrong: 3[(6/n)i](6/n)
 
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If you show more of your working it will make it easier for us to help you...
What do you get for the indefinite integral?
 
If it helps, remember that
[tex]\int^{b}_{a} x^n dx = { \left[ \frac{x^{n+1}}{n} \right] }^b_a[/tex].
And as mda said, it would be helpful to know how your calculations look.
 
the indefinite integral is " X + [tex]\frac{3}{2}[/tex]X[tex]^{2}[/tex] " and if you calculate it for 5 to -1 the answer must be 42
 
If you integrate the function (3x+1) then it becomes (1.5x^2+x) where 5 is the upper limit and -1 is the lower. Sub in x=5 first, then minus the answer for x=-1 and you should end up with 42. When x=5 you should get 42.5, and when x=-1 you should get 0.5. Make sure that when you square -1 the calculator makes it 1, and does not leave it as -1 as some do.
 

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