Find an antiderivative with a given function value: Say that f'(x) = 4 -(3/(1 + x^2)) and that f(1) = 0. Find the antiderivative f(x). Determine an antiderivative y , of the given derivative, y' .Then use the given condit...
There are additional rules for special functions like the reciprocal function, exponential function, and trigonometric functions. What is an antiderivative in math? The antiderivative is the function that you can take the derivative of to get the original function. That is, the function F(x) is ...
Answer to: Find the antiderivative of the given derivative. \frac {dp}{dx} = \frac {e^x + 4e^{-4x}}{(e^x - e^{-4x})^4} By signing up, you'll get...
In other words by integration, we are finding all the possible functions whose derivative is {eq}f(x). {/eq} Answer and Explanation:1 Given {eq}\displaystyle f(x) = \frac {1}{(2x+1)^3}. {/eq} We are going to use integration for finding the antiderivative. ...
The given function, C′(x), is a derivative. To find the original function, we need to find this derivative's antiderivative. We achieve...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question...
Find the particular antiderivative of the following derivative that satisfies the given condition. dxdt=5et−3;x(0)=2 Antiderivative: The antiderivative is a type of expression that corresponds to having the differentiation process reversed for a certain...
A derivative of a function and with the initial condition is delivered. The particular antiderivative of the provided derivative has to be found out. Particular antiderivative means the function without constant of integration. Now: We know that an antider...
Answer to: Find the particular antiderivative of the following derivative that satisfies the given condition. C'(x) = 3x^2 - 5x; C(0) = 1,000 By...
The antiderivative of a given function is the inverse operation of the derivative. We can find the antiderivative of a function by integrating the function indefinitely. This results to an expression with a constant of integration. We can find the actua...