What is The Antiderivative Product Rule? The formula for the antiderivative product rule is ∫f(x).g(x) dx = f(x) ∫g(x) dx − ∫(f′(x) [ ∫g(x) dx)]dx + C where we need to find the antiderivative of the product of two or more functions.Explore...
Find an antiderivative for the function f(x) = \sqrt[8]{x} + \dfrac{1}{\sqrt[8]{x when C = 0. Find the antiderivative F(x) of the function f(x). f(x) = 3 sin(x) + cos(x) Find the antiderivative of the function f'(x) = 7e^x Find an antiderivative for ...
Verify that F(x)=xln(x)−x is an antiderivative of ln(x). Proof of Anti-Derivative and By Parts Method: To prove the value of the anti-derivative of an integrand, we can apply the by parts method using the ILATE (inverse, logarithmic, algebraic, trigonometric, exp...
What is the antiderivative of e^{e^{2 x? What is the antiderivative of the equation \int \left ( \frac{x}{ln}(x) \right ) ? What is the antiderivative of x/\sqrt{16+x^2}? What is the antiderivative of x * sqrt(3x^2 +1)?
1) Evaluate Integral (sec x tan x + e^{-x} ) dx 2) Find the area of the region bounded by the curves y = x^2 and y = x^3 - 2x. 1) Find the area of the region bounded by the given curves. ...
f(x)=x7 Antiderivative: We can find the derivative of a variety of functions. However, if we have a derivative, we may be interested in returning to our original function. This means that we need to find the antiderivative. To do this, we need to reverse our differentia...
Answer to: Find the antiderivative. \int \dfrac{x-3}{x^2-6x+5}dx By signing up, you'll get thousands of step-by-step solutions to your homework...
Answer to: Expand the integral and then find an antiderivative: \int (2+\sin(x)) \sin(x) dx By signing up, you'll get thousands of step-by-step...
Answer to: Find the most general antiderivative. integral {x square root x + square root x} / {x^2} dx By signing up, you'll get thousands of...
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...