answersLogoWhite

0


Best Answer

∫ f'(x)(af(x) + b)n dx = (af(x) + b)n + 1/[a(n + 1)] + C

C is the constant of integration.

User Avatar

Wiki User

โˆ™ 2010-11-05 07:47:28
This answer is:
User Avatar
Study guides

Algebra

20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

โžก๏ธ
See all cards
3.81
โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…
1751 Reviews

Add your answer:

Earn +20 pts
Q: 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?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Equation for marginal cost and average cost?

Marginal cost - the derivative of the cost function with respect to quantity. Average cost - the cost function divided by quantity (q).


What is the integral of 1 divided by the quantity of a function of x multiplied by the quantity of that same function plus or minus another function of x with respect to x?

∫ [1/[f(x)(f(x) ± g(x))]] dx = ±∫1/[f(x)g(x)] dx ± (-1)∫ [1/[g(x)(f(x) ± g(x))]] dx


What are derivates?

The spacial derivative is the measure of a quantity as and how it is being changed in space. This is different from a temporal derivative and partial derivative.


A scalar quantity multiplied by a unit vector is a scalar quantity?

Scalars are quantities that are described by a magnitude alone. A scalar quantity multiplied by a unit vector is not a scalar quantity but a vector quantity.


What is the integral of the derivative with respect to x of the function f divided by the square root of the quantity a times f plus b with respect to x?

∫ f'(x)/√(af(x) + b) dx = 2√(af(x) + b)/a + C C is the constant of integration.


What are spacial derivatives?

The spacial derivative is the measure of a quantity as and how it is being changed in space. This is different from a temporal derivative and partial derivative.


How do you calculate unit cost as you increase production?

Increase in cost: take the first derivative with respect to the unit produced of a cost function. Total cost: sub-in the new quantity into the cost function.


What is the integral of the derivative with respect to x of the function f divided by the square root of the quantity f squared plus a constant with respect to x?

∫ f'(x)/√[f(x)2 + a] dx = ln[f(x) + √(f(x)2 + a)] + C C is the constant of integration.


Can vector quantity be divided and multiplied?

69


Marginal cost can be defined as the?

The cost of increasing the production by one unit. Mathematically, this can be derived as the derivative of the total costs with respect to quantity i.e. dc(q)/dq, where c(q) is the cost function and q is quantity.


What is the integral of the derivative with respect to x of f divided by the quantity p squared plus q squared f squared with respect to x where f is a function of x and p and q are constants?

∫ f'(x)/(p2 + q2f(x)2) dx = [1/(pq)]arctan(qf(x)/p)


What is the integral of the quantity of the derivative with respect to x of the function f times another function of x defined as g subtracted by g prime times f divided by g squared with respect to x?

∫ [f'(x)g(x) - g'(x)f(x)]/g(x)2 dx = f(x)/g(x) + C C is the constant of integration.

People also asked