Then we can say that {eq}g\left( x \right) {/eq} is the Antiderivative of the function {eq}f\left( x \right) {/eq} Hence we can say that: {eq}g\left( x \right) = \int {f\left( x \right)dx} + c {/eq}, where c is the integrating constant. ...
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+7xis ∫x+7xdx {eq}\Rightarrow \int \frac {\sqrt x}{x}... ...
Antiderivative Let f(x) be a continuous and differentiable function defined in a domain D then the derivative of f(x) is denoted byf′(x)and the opposite of the derivative is called the antiderivative i.e. If F(x) is the antiderivative of the function f(x) then it will hold the cond...
What is the antiderivative of the integral of (5x + 3)/(x^3 - 2x^2 - 3x) dx? What is the integral from 7 to 8 of \frac{(x)}{(x^2 + 6x + 13)}dx What is the integral of {\sin(x)\tan(x)}dx? What is the integral of 3cos(x^2)?
Question: What is the most general antiderivative of the function shown below?g(x)=1+x+x2x2G(x)=2x12+23x32+25x52G(x)=x12+x32+x52+cG(x)=2x12+23x32+25x52+c: g(x)=1+x+x2x2 G(x)=2x12+23x32+25x52 G(x)=x12+x32+x52+c...
The antiderivative rules in calculus are basic rules that are used to find the antiderivatives of different combinations of functions.
In summary, an indefinite integral is the antiderivative of a given function and is represented as ∫f(x) dx. The indefinite integral of cos x is sin x + C, while the indefinite integral of sin x is -cos x + C. To integrate a fraction with trigonometric function...
The table of 186 is given here in an easily understandable format so that students can learn and memorise the 186 times table quickly. Click here to download the PDF of the table of 186.
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 value of log e is equal to 0.4342944819. Log e is a constant term that gives the value of the logarithmic function log x, when the value of x is equal to e.