0
∫ xⁿ dx = xn + 1/(n + 1) + c where n is any constant except 0 and -1.
Apply that rule to get:
∫ 5x dx
= 5 ∫ x dx [Factor out the constant]
= 5 ∫ x1 dx [Make note of the exponent for x]
= 5x1 + 1/(1 + 1) + c
= (5/2)x2 + c
Wiki User
∙ 11y ago
Wiki User
∙ 11y ago5x2/2 + C
That is (2.5x2 plus any number).
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What is the antiderivative of zero?
The antiderivative of a function which is equal to 0 everywhere is a function equal to 0 everywhere.
What is the fundamental theory of calculus?
The fundamental theorum of calculus states that a definite integral from a to b is equivalent to the antiderivative's expression of b minus the antiderivative expression of a.
What is the antiderivative of e to the -x?
-e-x + C.
What is the anti derivative of the square root of 1-x2?
-1
How can you calculate the arbitrary constant in the solution to an antiderivative?
You can't, unless it's an initial value problem. If f(x) is an antiderivative to g(x), then so is f(x) + c, for any c at all.
What is the antiderivative of 2x?
The antiderivative of 2x is x2.
What is the antiderivative of zero?
The antiderivative of a function which is equal to 0 everywhere is a function equal to 0 everywhere.
What is the antiderivative of 70x?
35x2
Which is the antiderivative of sinxcosx?
Using u-substitution (where u = sinx), you'll find the antiderivative to be 0.5*sin2x + C.
What is the antiderivative of -10x4?
I assume you mean -10x^4? In that case, antiderivative would be to add one to the exponent, then divide by the exponent. So -10x^5, then divide by 5. So the antiderivative is -2x^5.
What is the antiderivative of x to the -1?
Antiderivative of x/-1 = -1(x^2)/2 + C = (-1/2)(x^2) + C Wolfram says antiderivative of x^-1 is log(x) + C
What is the antiderivative of x to the 1?
By antiderivative do you mean integral? If yes, integral x^1 dx= (x^2)/2
What is the fundamental theory of calculus?
The fundamental theorum of calculus states that a definite integral from a to b is equivalent to the antiderivative's expression of b minus the antiderivative expression of a.
What is the antiderivative of x to the negative 6 5ths?
(that weird integral or antiderivative sign) x^(-6/5) dx =-5*x^(-1/5)
What is the antiderivative of exp -x?
It is -exp (-x) + C.
What is the antiderivative of e to the -x?
-e-x + C.
What is the antiderivative of logx?
X(logX-1) + C
