what is the antiderivative of cos The answer is the antiderivative of the function f x cos x f x cos x F x F x sin x C sin x C Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor
Thus the antiderivative of cos x is sin x c The more common name for the antiderivative is the indefinite integral This is the identical notion merely a different name for it If F is an antiderivative of f we say that F x C is the most general antiderivative of f and write int f x dx F x C The symbol int is called an integral sign and int f x dx is called the indefinite integral of f
what is the antiderivative of cos
what is the antiderivative of cos
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Antiderivatives And Indefinite Integration2009
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Integration Example Cos 2 X YouTube
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We can find the derivatives of sinx and cosx by using the definition of derivative and the limit formulas found earlier The results are d dx sinx cosx and d dx cosx sinx With these two formulas we can determine the derivatives of all six basic trigonometric functions The antiderivative looks like cosine but upside down and shifted up Since we know that the derivative of cos x is sin x the derivative of cos x is sin x so we would expect that the antiderivative of sine to look like cosine
Anti Derivatives of Sine and Cosine Functions Anti derivatives of trig functions can be found exactly as the reverse of derivatives of trig functions The anti derivative of sinx is cosx C and the anti derivative of cosx is sinx C 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
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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 antidifferentiation to solve simple initial value problems Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history
If F is an antiderivative of f we say that F x C is the most general antiderivative of f and write int f x dx F x C The symbol displaystyle int is called an integral sign and displaystyle int f x dx is called the indefinite integral of f The antiderivatives rules are used to find the antiderivatives of different combinations of algebraic trigonometric logarithmic exponential inverse trigonometric and hyperbolic functions Most of the rules of differentiation have corresponding antiderivative rules for antidifferentiation
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what is the antiderivative of cos - The answer is the antiderivative of the function f x sin x cos x f x sin x cos x F x F x 1 2sin2 x C 1 2 sin 2 x C Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor