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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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This online calculator will try to find the indefinite integral (antiderivative) of the given function, with steps shown.
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).
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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28 Μαΐ 2023 · One antiderivative of \(x\) is \( F(x)=\frac{1}{2}x^2 \), and \[ \begin{align*} \int\limits_1^3 x\, dx & = \left[\frac{1}{2}x^2\right]_1^3 \\ & = \left(\frac{1}{2}(3)^2\right) - \left(\frac{1}{2}(1)^2\right) \\ & = \frac{9}{2}-\frac{1}{2} \\ & = 4. \end{align*} \nonumber \] Note that this answer agrees with the answer we got geometrically.
4.10.1 Find the general antiderivative of a given function. 4.10.2 Explain the terms and notation used for an indefinite integral. 4.10.3 State the power rule for integrals. 4.10.4 Use antidifferentiation to solve simple initial-value problems.
