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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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Solve definite and indefinite integrals (antiderivatives) using this free online calculator. Step-by-step solution and graphs included!
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The antiderivative of ln x square is ∫ [ln x] 2 dx = x [ln x] 2 - 2x ln x + 2x + K, where K is the constant of integration. We can determine this antiderivative using the method of integration by parts ∫u dv = uv − ∫vdu.
This online calculator will try to find the indefinite integral (antiderivative) of the given function, with steps shown.
14 Ιουν 2018 · Using logarithm rules, we get: = ∫2lnx dx. = 2∫lnx dx. This is a common integral, where ∫lnx dx = xlnx − x + C. ∴ = 2xlnx − 2x + C.
28 Μαΐ 2023 · There is one surprise – the antiderivative of 1 x is actually not simply ln(x), it's ln | x |. This is a good thing – the antiderivative has a domain that matches the domain of 1 x, which is bigger than the domain of ln(x), so we don’t have to worry about whether our x 's are positive or negative.
