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The definite integral of any function identically equal to zero between any two points is zero.
Integral is the area under the graph of the given function. Sometimes the terms "integral" or "indefinite integral" are used to refer to the general antiderivative of a function, especially in many textbooks. In this case, the indefinite integral is equal to an arbitrary constant, and it is important to distinguish between these two cases.
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What is the integral of cosx divided by sinx plus cosx from 0 to 2pi?
The Integral diverges. It has singularities whenever sin(x)+cos(x)=0. Singularities do not necessarily imply that the integral goes to infinity, but that is the case here, since the indefinite integral is x/2 + 1/2 Log[-Cos[x] - Sin[x]]. Obviously this diverges when evaluated at zero and 2pi.
How do you evaluate definite integrals?
In order to evaluate a definite integral first find the indefinite integral. Then subtract the integral evaluated at the bottom number (usually the left endpoint) from the integral evaluated at the top number (usually the right endpoint). For example, if I wanted the integral of x from 1 to 2 (written with 1 on the bottom and 2 on the top) I would first evaluate the integral: the integral of x is (x^2)/2 Then I would subtract the integral evaluated at 1 from the integral evaluated at 2: (2^2)/2-(1^2)/2 = 2-1/2 =3/2.
Integral formula of a raised to x?
integral (a^x) dx = (a^x) / ln(a)
Integral of 1 divided by sinx cosx?
Integral of [1/(sin x cos x) dx] (substitute sin2 x + cos2 x for 1)= Integral of [(sin2 x + cos2 x)/(sin x cos x) dx]= Integral of [sin2 x/(sin x cos x) dx] + Integral of [cos2 x/(sin x cos x) dx]= Integral of (sin x/cos x dx) + Integral of (cos x/sin x dx)= Integral of tan x dx + Integral of cot x dx= ln |sec x| + ln |sin x| + C
Integral of e to the power of x?
The antiderivative, or indefinite integral, of ex, is ex + C.
How cyclic integral of a point function is zero?
the cyclic integral of this is zero
What is an integral number?
An integral number is an integer. A whole number positive, negative or zero.
How do you integrate periodic functions?
Same as any other function - but in the case of a definite integral, you can take advantage of the periodicity. For example, assuming that a certain function has a period of pi, and the value of the definite integral from zero to pi is 2, then the integral from zero to 2 x pi is 4.
What are integral zeros?
The integral zeros of a function are integers for which the value of the function is zero, or where the graph of the function crosses the horizontal axis.
When electric flux is zero then electric field is also zero why?
The electric flux depends on charge, when the charge is zero the flux is zero. The electric field depends also on the charge. Thus when the electric flux is zero , the electric field is also zero for the same reason, zero charge. Phi= integral E.dA= integral zcDdA = zcQ Phi is zcQ and depends on charge Q, as does E.
What is non integral numbers?
non integral is type of numbers behaviour: i can say that set of numbers without any "holes inside" are integral and set of numbers with "holes inside are non integral. example : integral group "1..100" non integral group "1,4,8,67"
What are integres?
The integral zeros of a function are integers for which the value of the function is zero, or where the graph of the function crosses the horizontal axis.
Which can have integral values between c and -c including zero?
It depends on the maximum value of c. In signed values, the maximum value we can store in an integral is 2 to the power of the number of bits in the integral, minus 1. Thus a 32-bit signed integral can accommodate all positive values in the range 2^31, which is 2,147,483,648.
What is the integral of cosx divided by sinx plus cosx from 0 to 2pi?
The Integral diverges. It has singularities whenever sin(x)+cos(x)=0. Singularities do not necessarily imply that the integral goes to infinity, but that is the case here, since the indefinite integral is x/2 + 1/2 Log[-Cos[x] - Sin[x]]. Obviously this diverges when evaluated at zero and 2pi.
How do you find the momentum with no velocity?
It is unclear what you mean. If you mean that you want to find momentum but do not have a value for velocity then it depends on what physical system you are using. If you want to find the momentum of an object with a velocity equal to zero then the momentum is zero. Answer2. You can find the momentum from its the integral of its force impulse fdt = d(mv). The momentum is mv= integral of fdt.
Can integral heat of solutions be zero?
Yes! But check your work... Perhaps half your curve is above the (say) x-axis and half is below. They could be canceling each other out. I had an integral heat solution problem last year. I got the answer '0' and thought I must've done something wrong, so I didn't hand my assignment in. Turns out it was zero all along!
What is an integral that equals 2012 and for all the smart people out there can you give it as a formula?
For the integral to equal 2012, we need the derivative of 2012. Because this is zero, we could assume that there are no values that would give you 2012. However, if you integrate 0, you get a constant, and therefore, because we can choose this constant to be whatever we require, the integral of 0 could possibly equal 2012. However, if you are (more likely) required to find the integral of 2012, its 2012x, or the derivative of 2012 is as mentioned earlier, 0
