sin 4x cos 4x Sin 4x cos 4x sin 4x cos 4x b ng g l t i li u do GiaiToan bi n so n d nh cho c c em h c sinh gi p c c em n t p v c ng c ki n th c v d ng b i t p to n l ng
Definite integral mean square Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history geography engineering mathematics linguistics sports finance music Taking sin2x a and cos2x b we have sin4x cos4x sin2x 2 cos2x 2 a2 b2 Applying the above property we have sin2x 2 cos2x 2 sin2x cos2x sin2x cos2x Applying the same property on sin2x cos2x thus Knowing the Pythagorean identity sin2x cos2x 1 we simplify the expression so cos 2x
sin 4x cos 4x
sin 4x cos 4x
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How To Show That Cos 4x Sin 4x 1 2cos 2x YouTube
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The Function F x sin 4x cos 4x Increasing Find The Intervals In
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Free Pre Algebra Algebra Trigonometry Calculus Geometry Statistics and Chemistry calculators step by step Derive the identity cos4x sin4x 1 4cos 4x 3 4 I know ei4x cos 4x isin 4x cosx isinx 4 Then I use the binomial theorem to expand this fourth power and comparing real and imaginary parts I conclude that cos4x sin4x cos 4x 6cos2 x sin2 x
A little simplification of the given expression would ease of the differentiation sin 4x cos 4x sin 2x cos 2x sin 2x cos 2x cos 2x So frac d sin 4x cos 4x dx frac d cos 2x dx 2 sin2x Simplify the denominator in the following way sin 4x cos 4x sin 2x cos 2x 2 2 sin 2x cos 2x 1 frac sin 2 2x 2 frac 1 cos 2 2x 2 frac 2 tan 2 2x 2 sec 2 2x Hence the integral you are dealing with is int frac 2 sec 2 2x 2 tan 2 2x dx I guess the next step is pretty obvious now
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Given Value Of Cos 4x Sin 4x Find Sinx And Cos2x YouTube
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Integrate sinx Cosx sin 4x cos 4x Math Integrals 6990098
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Example 34 Evaluate Integral Sin4 X Sin4 X Cos4 X Dx
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Sin 4x cos 4x sin 4 x cos 4 x Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor Indefinite integral Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals
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Example 32 Evaluate Integral Sin4 X Sin4 X Cos4 X Dx
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sin 4x cos 4x C ng Th c L ng Gi c Giaitoan
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sin 4x cos 4x - Simplify the denominator in the following way sin 4x cos 4x sin 2x cos 2x 2 2 sin 2x cos 2x 1 frac sin 2 2x 2 frac 1 cos 2 2x 2 frac 2 tan 2 2x 2 sec 2 2x Hence the integral you are dealing with is int frac 2 sec 2 2x 2 tan 2 2x dx I guess the next step is pretty obvious now