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Free antiderivative calculator - solve integrals with all the steps. Type in any integral to get the solution, steps and graph.
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10 Νοε 2020 · Given a function f, how can we find a function with derivative f? If we can find a function F derivative f, we call F an antiderivative of f. A function F is an antiderivative of the function f if. F′ (x) = f(x) for all x in the domain of f. Consider the function f(x) = 2x.
Given a function f, how can we find a function with derivative f? If we can find a function F with derivative f, we call F an antiderivative of f. A function F is an antiderivative of the function f if. for all x in the domain of f. Consider the function f(x) = 2x.
Solve definite and indefinite integrals (antiderivatives) using this free online calculator. Step-by-step solution and graphs included!
Find antiderivatives of each of the following functions: 12.1 \(x^3 - 3x^2 + 6\) 12.2 \(\cos (x)\) 12.3 \(\sin (2x)\) 12.4 \(\exp (2x)\) 12.5 \(x^{-\frac{1}{2}}\) (check your answer by differentiating it.)
Find the general antiderivative of a given function. Explain the terms and notation used for an indefinite integral. State the power rule for integrals. Use antidifferentiation to solve simple initial-value problems.
What function has sin x as its derivative? Student: − cos x Because the derivative of − cos x is sin x, this is an antiderivative of sin x. If: On the other hand, if we had instead chosen G(x) = − cos x + 7 we would still have had G (x) = sin x.
