f(x)=e2−3x2+sinx Question: Find the antiderivative of the function: f(x)=e2−3x2+sinx Antiderivative: Generally, the antiderivative of the integrated value of a function will provide the original function. Where integration and differentiation are opposed to each othe...
Find the particular antiderivative of the following derivative that satisfies the given condition. \displaystyle \frac{dy}{dx}=4x^{-3}+3x^{-1}-1;\quad y(1) = 0 Find the particular antiderivative of the following derivative that satisfies the given cond...
Find the Antiderivative of f(x) = \frac{8 - 5x^4 + 3x^7}{x^7}. Find the antiderivative of f(x) = \frac{2x}{x^2+1}. Find the antiderivative. f(x) = x 1/3/x 2/3 Find the antiderivative of: 1) \int {\sin x}{(\cos x- \cos x \sin^2x)} \, dx 2...
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? Antiderivative of \frac {(1+\cos^2(2w))}{\cos...
What is the antiderivative of x * sqrt(3x^2 +1)? Find the most general antiderivative of the function. (Use C for the constant of the antiderivative.) f(x) = 4root( x^3 ) + 3root (x^ 4) What is the antiderivative of 2\sec^2(x) + 3 ...
For checking the given condition check whether F′(x)=f(x) Answer and Explanation: f(x)=3x2 To verify that F( x ) is an anti-derivative of the integrand f ( x ) we need to verify{eq}\int f(x) = F(x)\ \int f(x) dx......
Set up, but do not evaluate the integral to find the area of the region bounded by the given curves. y = x^2 + 2 x, y = x + 2. a) Find the area of the region bounded by the curves y = x^{3...
integral x + square root x + 2 cos x dx Find the most general antiderivative of the function f(x) = 4x^5 - 3x^2 + 2x + 5f(x) = \sqrt x + sec \ x \ tan \ x Find a general antiderivative of f(x) = 5{x^{1/3 - {1 \over {\sqrt {2x} + 2\cos...
∫ePdP 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...
f(x) = secx 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. ...