Write ( -5(sin)(3x)+C) as a function. ( f(x)=-5(sin)(3x)+C) The function( F(x)) can be found by finding the indefinite integral of the derivative( f(x)). ( F(x)=∫ f(x)dx) Set up the integral to solve. ( F(x)=∫ -5(sin)(3x)+Cdx) Split the single integ...
Find the function C(x) that satisfies the following conditions: C'(x) = 5x^2 - 3x; C(0) = 4000. C(x) = Hint: Since C(x) is an antiderivative of 5x^2 - 3x, find the general antiderivative \intFind the particular antiderivative for the given ...
Question: Find the antiderivative. ∫ePdP Integration of Exponential Function: According to the common integral ofex,it will produce the function itself. That is, ∫exdx=ex It has proven that when we integrate the expansion ofex(i.e.,1+x1!+x22!+x33!+x44!+⋯),we will get the same ...
Find the antiderivative of the function: f(x) = e^x + 3x - x^2 Find an antiderivative of the function x^{-5} + 1/4 sqrt{x}. Find the antiderivative of the function f(x) = \frac{x^5 - x^3 + 6x}{x^4} Find the antiderivative of the function. f(x) = 1/2...
Integrate: \int \frac {x^2}{x^6+5}dx What is the antiderivative of x/\sqrt{16+x^2}? Find the Antiderivative integral fraction {x^2 + 2x}{ (x + 5) (x - 7)} dx what is the intergral of f(x)' \ when \ f(x)'= \frac {1}{6x^4}-3x^3+\frac {4}{5x}-2? Antideri...
Find the antiderivative of \int \tan^3 x \sec^2 x \, dx Find the antiderivative of \int \frac{1}{3x^2} dx. Find the antiderivative for: \int \frac {x^2+2x }{(x+5)(x-7)} \ dx Find the derivative and antiderivative of the function. f(x) = fourth root...
Antiderivative: The antiderivative of a function is defined using a constant. This constant is the constant of integration resulting from the indefinite integral. We can only determine the constant when we know the behavior of the antiderivative at a point. ...
Set up the definite integral that gives the area of the region bounded by the curves y = 5(x^3-x) and y =0 Find the area of the region bounded by y = 12 - 3x, y = x + 12, and y = 0. Integr...
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...
Find the antiderivative F(x) of f(x) = \frac{x}{3(12x^2 - 6),} given F(1) = 5. Find the antiderivative: int dfrac{1}{10+x^2+2x} dx. Find the antiderivative of F(x) = \dfrac{x^2 +3x^3 -x^4}{x^5}. Find the antiderivative of f ( x ) = x 3 ? 10 . ...