Please HeLp with definite integral

AI Thread Summary
The discussion focuses on solving the definite integral of the function (1 + 3x) from -1 to 5. Participants clarify that the indefinite integral is X + (3/2)X^2, and the correct evaluation of the definite integral should yield 42. It is emphasized that proper substitution and calculation are crucial, particularly when squaring negative values. One participant notes the importance of ensuring calculators handle negative inputs correctly. The final answer for the definite integral is confirmed to be 42.
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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What do you get for the indefinite integral?
 
If it helps, remember that
\int^{b}_{a} x^n dx = { \left[ \frac{x^{n+1}}{n} \right] }^b_a.
And as mda said, it would be helpful to know how your calculations look.
 
the indefinite integral is " X + \frac{3}{2}X^{2} " 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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