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}... ...
Again we know that: {eq}\int {{x^n}dx} = \frac{{{x^{n + 1}}}{{n + 1}} + c {/eq} Answer and Explanation:1 Here the given function is: {eq}f(x) = 7x^\frac{2}{5} + 8x^{-\frac{4}{5}} {/eq} Let us assume {eq}g(x) {/eq} is the Anti...
To find integration easily there is a table of integration containing all the standard formulas and one of them is the power rule of integration, which says: ∫xn dx=xn+1n+1; n≠−1 With the help of this standard integration formula we will solve the given problem....
The antiderivative rules in calculus are basic rules that are used to find the antiderivatives of different combinations of functions.
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...
Antiderivative of ln x Derivative of log x Logarithms Examples Using Log e Example 1: Calculate the value of 2 log e. Solution: We know that the value of log e is approximately equal to 0.4342944819. Therefore, to find the value of 2 log e, we will multiply 2 by log e and hence it...
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...
(mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative; The integral of x^2 is \frac{x^3}{3} plus a constant. Integral The fluent of a given fluxion in ...
can anyone tell me what is the meaning of number e,i mean how it is discovered ?why derivative and antiderivative of this function same?i know it is very practical property of it but where did we get this number? and another thing eulers formula, which is e^(i*pi)+1=0, i...
In geometry, Arc is the part of circumference of a circle. It is a smooth curve with two end points. The length of the arc that subtend an angle (θ) at the center of the circle is equal 2πr(θ/360°). Learn more about arc at BYJU’S.