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 \int Find the antiderivative ...
Find \int e^{2x} - 3sin(x) dx. Find the most general antiderivative of the function f(x) = 2e^x - 9 \cosh x Find the integral of, integral e^2x (1+sin 2x)/(1+cos2x) dx Find the antiderivative of (2x-3)^2 (3x+1)^{21}. Find the following indefinite integral. \int e...
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. g(x) = 12/x + 6/x^2 + 5/x^3 Find the antiderivative of the function: ...
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 ...
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 ...
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...
Find the antiderivative: dy/dx = x - e^x. Find the antiderivative. f(x) = 0 Find the antiderivative of F(x) = \dfrac{x^2 +3x^3 -x^4}{x^5}. Find the antiderivative of: 1) \int {\sin x}{(\cos x- \cos x \sin^2x)} \, dx 2) \int \cos^2x(1+\sin^2x) \, dx...
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...
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. ...
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...