what is the integral of cos 4 x Explanation Write cos4x cos3x cosx and integrate by parts cos4xdx cos3xcosxdx cos3xd sinx cos4xdx sinxcos3x sinxd cos3x cos4xdx sinxcos3x 3 sin2xcos2xdx Now use the identity sin2x 1 cos2x cos4xdx sinxcos3x 3 1 cos2x cos2xdx cos4xdx sinxcos3x 3 cos2xdx 3 cos4xdx
Integral of cos 4 x calculus 2 tutorial blackpenredpen 1 31M subscribers 133K views 7 years ago apcalculus calculus math more Integral of cos 4x integral of 1 2cos 4x Contact info MathbyLeo gmail integration of cos 4 x If you enjoyed this lesson and would like to support math learning community and content creator
what is the integral of cos 4 x
what is the integral of cos 4 x
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INTEGRAL OF Cos 4 x TRANSFORMATION YouTube
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The integral of cos 4x is an antiderivative of the cos 4x function which is equal to 3x 8 sin 2x 1 32 sin 4x c It is also known as the reverse derivative of the cos 4x function a trigonometric identity The cosine function is the ratio of the adjacent side to the hypotenuse of a triangle which is written as The integral of cos 4x is given by cos 4 x dx 1 32 sin4x 3x 8 1 4 sin2x C where C is the integration constant The integral of cos4x is equal to 1 4 sin4x C The integral of cos4x can be evaluated using the substitution method of integration
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 Free Integral Calculator helps you solve definite and indefinite integration problems Also double triple and improper integrals Answers graphs alternate forms
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Solution Step 1 Simplify the given function Given function cos 4 x We can write the given function as cos 4 x cos 2 x cos 2 x 1 We know the double angle cosine formula as cos 2 1 2 cos 2 2 cos 2 1 cos 2 cos 2 1 2 1 cos 2 So by applying the above formula in equation 1 we get Free Pre Algebra Algebra Trigonometry Calculus Geometry Statistics and Chemistry calculators step by step
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what is the integral of cos 4 x - 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