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
Messages
42
Reaction score
0

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)
 
Physics news on Phys.org
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
\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.
 
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Thread 'Correct statement about a reservoir with an outlet pipe'
The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
Back
Top