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What is the integral to negative e to the power x?
The integral of (-e^x) with respect to (x) is (-e^x + C), where (C) is the constant of integration. This represents the family of functions whose derivative is (-e^x).
What you the integral of 1?
if you are integrating with respect to x, the indefinite integral of 1 is just x
What is the integral of a constant to the power of x with respect to x?
∫ ax dx = ax/ln(a) + C C is the constant of integration.
What is the derivative with respect to x of the integral of a function of x with respect to x?
d/dx ∫ f(x) dx = f(x)
What is the indefinite integral of 3sinx 5cosx?
With respect to x, this integral is (-15/2) cos2x + C.
What is the integral of a function of x raised to the power of n multiplied by the derivative with respect to x of that same function of x with respect to x?
∫ f(x)nf'(x) dx = f(x)n + 1/(n + 1) + C n ≠-1 C is the constant of integration.
What is the integral of the derivative with respect to x of the function f multiplied by the quantity a times f plus b raised to the power of n with respect to x?
∫ f'(x)(af(x) + b)n dx = (af(x) + b)n + 1/[a(n + 1)] + C C is the constant of integration.
What is the integral of e to the power of x with respect to x?
∫ ex dx = ex + CC is the constant of integration.
What is the integral to negative e to the power x?
The integral of (-e^x) with respect to (x) is (-e^x + C), where (C) is the constant of integration. This represents the family of functions whose derivative is (-e^x).
What is the integral of X 4Y X 8Y 2 With respect to X?
The integral of X 4Y X 8Y 2 With respect to X is 2ln(10/9).
What you the integral of 1?
if you are integrating with respect to x, the indefinite integral of 1 is just x
What is the integral of f divided by the quantity f plus g raised to the power of n with respect to x where f and g are functions of x?
∫ f(x)/[f(x) + g(x)]n dx = ∫ 1/[f(x) + g(x)]n - 1 dx - ∫ g(x)/[f(x) + g(x)]n dx
Integral of e to the power of -x?
integral of e to the power -x is -e to the power -x
What is the integral of the function 1 sinc(x) with respect to x?
The integral of the function 1 sinc(x) with respect to x is x - cos(x) C, where C is the constant of integration.
What is the integral of x to the power n?
For n not equal to -1, it is 1/(n+1)*xn+1 while for n = -1, it is ln(|x|), the logarithm to base e.
What is the integral of a constant to the power of x with respect to x?
∫ ax dx = ax/ln(a) + C C is the constant of integration.
What is the derivative with respect to x of the integral of a function of x with respect to x?
d/dx ∫ f(x) dx = f(x)
