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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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Antiderivative calculator finds the antiderivative of a function step by step with respect to a variable i.e., x, y, or z. This online integration calculator also supports upper bound and lower bound in case you are working with minimum or maximum value of intervals.
21 Σεπ 2016 · What is the antiderivative of x ln x? ∫xlnxdx = x2 4 (2lnx − 1) +C, or, x2 4 ln(x2 e) +C, or ln(x2 e)x2 4 +C. Let I = ∫xlnxdx. We use the following Rule of Integration by Parts (IBP) : ∫uvdx = u∫vdx − ∫[du dx ∫vdx]dx. We take, u = lnx ⇒ du dx = 1 x, and,v = x ⇒ ∫vdx = ∫xdx = x2 2. Hence, I = x2 2 lnx −∫[1 x ⋅ x2 2]dx. = x2 2 lnx − 1 2∫xdx.
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17 Αυγ 2024 · 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.
28 Μαΐ 2023 · Let's start by finding the antiderivative: ∫exdx = ex + C. So we know that F(x) = ex + (some constant), now we just need to find which one. To do that, we'll use the other piece of information (the initial condition): F(x) = ex + C F(0) = e0 + C = 1 + C = 10 C = 9.
The reverse process, called antidifferentiation, is equally important: Given a function. In this section, we revisit derivative formulas developed in previous chapters to discover corresponding antiderivative formulas.
