Answer to: Find the antiderivative of the function: f(x) = e^2 - 3x^2 + \sin x By signing up, you'll get thousands of step-by-step solutions to...
Expand the integral and then find an antiderivative: \int e^x(e^x+e^{3x})dx Find the antiderivative. int 2e^{3r}dr Find the antiderivative. \int \dfrac{1}{x}dx Find an antiderivative of the given function. 5 cos 7 x Find an antiderivative of the ...
Find the antiderivative of f(x) = e^x + 2x + cos (x). Find the indefinite integral \int e^{2x} \sec(e^{5x}) \tan(e^{5x}) \, dx Find the integral. Integral of e^(2x) sin(5x) dx. Find the indefinite integral. \int e^{-2x} \cos 3x dx Find the indefinite integral. ...
Find the area of the region enclosed by the curves y^2 - 3x = 9 and x - y = 3. Integrate with respect to y. 1) Evaluate Integral (sec x tan x + e^{-x} ) dx 2) Find the area of the region ...
If F′(x)=f(x), we say that F(x) is the anti-derivative of f(x) ∫ekx=ekxk+c. aman=am−n where a can be a variable or a constant. Answer and Explanation: {eq}\displaystyle I=\int \frac{e^x+e^{3x}}{e^x} dx \ \Rightarrow I=\int \...
Find the particular antiderivative of the following derivative that satisfies the given condition. {eq}\displaystyle \frac{dy}{dx}=4x^{-3}+3x^{-1}-1;\quad y(1) = 0 {/eq} y(x) = ___Integration:Let {eq}f\left( x \right...
Find the particular antiderivative of the following derivative that satisfies the given condition. {eq}C'(x) = 6x^2 - 3x; C(0) = 4,000 {/eq} C(x) = Indefinite Integrals as Anti-Derivatives: {eq}\\ {/eq} Suppose that we are given the ...
Answer to: Find the antiderivative. \int \dfrac{t^5-t^2}{t} dt By signing up, you'll get thousands of step-by-step solutions to your homework...
Answer to: Expand the integrand and then find an antiderivative. \int e^x(e^x+e^{3x}) dx By signing up, you'll get thousands of step-by-step...
Answer to: Find the antiderivative. \int e^PdP By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can...