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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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The Integral Calculator lets you calculate integrals and antiderivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step integration).
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.
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.
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The antiderivative calculator allows to find antiderivative function, antiderivative integral or indefinite integral of a function using integration properties and different calculation mechanisms online.
26 Απρ 2016 · Factoring the quadratic, we can write $\ln(x^2+7)=\ln(x+i\sqrt{7})+\ln(x-i\sqrt{7})$. But $\int\ln x\,dx=x\ln x-\int x\cdot \frac1x dx=x\ln x-x$, and from this formula we can deduce the antiderivatives of both terms.