Antiderivative of a function is obtained by integrating that function. 1. Simplify the function . 2. Integrate the function. 3. Use "C" as constant of integration. Answer and Explanation:1 Anti derivative ofx+7x
The derivative of a function defines the change in the function corresponding to the change in other variables. A function's antiderivative is evaluated using the integral calculus. Suppose a function is f(x), then we define the function's antiderivative as follows. ...
Find the general antiderivative. (Use C for the constant of integration.) g(x) = 4/x^3 What is the antiderivative of \frac{2(sin(2x))}{sin(x)}? What is the general antiderivative of the function f(x) = x - 3? What is the general antiderivative...
These antiderivative rules help us to find the antiderivative of sum or difference of functions, product and quotient of functions, scalar multiple of a function and constant function, and composition of functions. How Do You Use Antiderivative Chain Rule? The antiderivative chain rule is used if ...
antiderivativeThe majority of calculus texts present the material on using the first and second derivatives to graph functions in a manner that leaves the student with a misleading impression of what can happen when the second derivative of a function vanishes. This article describes a classroom ...
The correct Answer is:A To solve the integral ∫π20cosxdx, we can follow these steps: Step 1: Identify the integralWe need to evaluate the definite integral of cosx from 0 to π2. Step 2: Find the antiderivativeThe antiderivative of cosx is sinx. Therefore, we can write:∫cosxdx=sinx...
Integral coefficients show up in mathematical expressions and equations and their applications. Defining integral coefficients is simply a matter of being familiar with the definition of an integer and the definition of a coefficient. Answer and Explanation: ...
If you negate that,−cos(x)−cos(x)is the antiderivative ofsin(x)sin(x). To gut check yourself on that, look at this graph of−cos(x)−cos(x). At00, the slope is00, then it increases to some maximum slope atπ/2π/2, then it goes back down to00atππ,...
When we need to find an antiderivative of a function g(x) it means we have to find another function G(x) in such a way that when we calculate the derivative of the function G(x) we obtain the function g(x) that is G′(x)=g(x)...
Math Calculus Antiderivative What is the total change of f(x), if f′(x)=cos(2.5x), over the interval [0,π]? Question: What is the total change of f(x), if f′(x)=cos(2.5x), over the interval [0,π]? Total Change: Recall that the...