how to find the anti derivative of a square root Free antiderivative calculator solve integrals with all the steps Type in any integral to get the solution steps and graph
You can write the square root as sqrt x x 1 2 Now integrate this using the fact that intx ndx x n 1 n 1 c Getting intx 1 2 dx x 1 2 1 1 2 1 c To find the antiderivative of a square root function you can rewrite the square root as a power and then use the power rule for integration Let s say you want to find the antiderivative of the
how to find the anti derivative of a square root
how to find the anti derivative of a square root
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Derivative Of Sec 1 X Sec Inverse X Teachoo with Video
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6 8 Finding Antiderivatives And Indefinite Integrals Part 5
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AP Calculus About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy Safety How YouTube works Test new features NFL Sunday Ticket To find the antiderivative of a square root function you can rewrite the square root as a power and then use the power rule for integration
Learn how to integrate the square root of x step by step We start by identifying the function to integrate and rewriting the square root as a power We then apply the power rule for integration and simplify the resulting expression Finally we Given a function f how can we find a function with derivative f If we can find a function F derivative f we call F an antiderivative of f Definition Antiderivative
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What Is The Derivative Of Square Root Of X 2 1 Epsilonify
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Find the Antiderivative square root of 2x 2x 2 x Write 2x 2 x as a function f x 2x f x 2 x The function F x F x can be found by finding the indefinite integral of the derivative f x The function F x F x can be found by finding the indefinite integral of the derivative f x f x F x f x dx F x f x d x Set up the integral to solve F x 2dx F x 2 d x Apply
So that means that in that set there exists an antiderivative and you found it correctly it is frac 2 3 sqrt x 3 C C in mathbb R If we plug in x 0 we find that an Learning Objectives 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
Derivative With Nested Square Roots F x Sqrt 4 Sqrt 6 Sqrt x
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