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 ...
Find the particular antiderivative of the following derivative that satisfies the given condition. \displaystyle \frac{dy}{dx}=4x^{-3}+3x^{-1}-1;\quad y(1) = 0 Find the particular antiderivative of the following derivative that satisfies ...
Answer to: Find the particular antiderivative of the derivative f'(x) = 3x^{-1} - x^{-2} where f(1) = 5. By signing up, you'll get thousands of...
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Find an antiderivative {eq}F(x){/eq} with {eq}F' (x)= f(x){/eq} and {eq}F(0)=5{/eq}. {eq}f(x) = 24e^{6x}{/eq}. Antiderivative: The process of finding derivative and antiderivative functions are reversible. By integrating a derivative function, we will...
Derivative and integral cancel out each other. It can be used to find areas and volumes of irregular figures. Let f(x) be a function. Then its integral is denoted by ∫f(x)dx.Answer and Explanation: Given Evaluate ∫e2lnx+e2xdx Use the formula nlnx=lnxn and elnx...
73K Understand what an antiderivative is and what antiderivative rules are. Use various antiderivative formulas and learn how to do antiderivatives. See the antiderivative chart for common functions and practice solving basic antiderivatives examples. ...
Antiderivative means the reverse derivative of the function. As the value of the antiderivative is not fixed in indefinite integrals, an arbitrary constant is added to represent the "family of antiderivatives". Typically, this arbitrary constant is represented byC. ...
Answer to: Consider f(x) = |x| . We know that this function does not have a derivative, but it is continuous, so it should have an...
The process of finding a function f(x), given its derivative f'(x), is called anti-differentiation (or integration). If F'(x) = f(x), we say F(x) is an anti-derivative of f(x). For checking the given condition check whether F′(x)=f(x) Ans...