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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 Practice quiz for 11th grade students. Find other quizzes for Mathematics and more on Quizizz for free!
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The antiderivative of ln x is the integral of the natural logarithmic function and is given by x ln x - x + C, where C is the constant of integration. To find the antiderivative of ln x, we need to determine the value of ∫ln x dx, where the integration is with respect to the variable x.
14 Ιουν 2018 · What is the antiderivative of ln(x)2? Here, I = ∫ln(x)2dx. Using Power-coefficient Rule : lnxn = n ⋅ lnx , we get. I = ∫lnx2dx = ∫2 ⋅ lnx... → (A) Using , Integration by parts: ∫(u ⋅ v)dx = u∫vdx − ∫(u'∫vdx)dx. u = lnx and v = 2 ⇒ u' = 1 x and ∫vdx = 2x. I = lnx ⋅ 2x − ∫ 1 x ⋅ 2xdx +c. ⇒ I = 2x ⋅ lnx − ∫2dx +c. ⇒ I = 2xlnx −2x + c.
21 Δεκ 2020 · In exercises 1 - 20, find the antiderivative \(F(x)\) of each function \(f(x).\) 1) \(f(x)=\dfrac{1}{x^2}+x\) 2) \(f(x)=e^x−3x^2+\sin x\) Answer \(F(x)=e^x−x^3−\cos x+C\) 3) \(f(x)=e^x+3x−x^2\) 4) \(f(x)=x−1+4\sin(2x)\) Answer \(F(x)=\dfrac{x^2}{2}−x−2\cos(2x)+C\) 5) \(f(x)=5x^4+4x^5\) 6) \(f(x)=x+12x^2\) Answer \(F(x)=\frac{1}{2 ...
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).
