integral of sin 4 x cos 2 x Free integral calculator solve indefinite definite and multiple integrals with all the steps Type in any integral to get the solution steps and graph
Integrals of the product of the powers of sine and cosine come in 4 permutations 1 The powers m and n are both even 2 The powers m and n are even and odd respectively 3 The powers m and n 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
integral of sin 4 x cos 2 x
integral of sin 4 x cos 2 x
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Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history What is the integral of sin2 x cos4 x Calculus Introduction to Integration Integrals of Trigonometric Functions 1 Answer Ratnaker Mehta Sep 4 2016 1 192 12x 3sin2x
The integral calculator allows you to enter your problem and complete the integration to see the result You can also get a better visual and understanding of the function and area under the Solution steps cos4 x sin2 x dx Rewrite using trig identities cos4 x 1 cos2 x dx Expand cos4 x 1 cos2 x cos4 x cos6 x cos4 x cos6 x dx Apply the Sum Rule f
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1 cos 2 sin2 2 Because we have to do a lot of writing before we actually integrate anything we ll start with some side work to convert the integrand into something we know To solve the integral of sin 4x cos 2x using integration by parts we can use the following formula u dv uv v du Let u sin 2x and dv cos 2x dx Then we have du
Free Integral Calculator helps you solve definite and indefinite integration problems Also double triple and improper integrals Answers graphs alternate forms I have solved this problem by first converting cos x to sin x using identity sin 2 x cos 2 x 1 and then used power reduction formula to integrate My answer is frac 1 48
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integral of sin 4 x cos 2 x - Integral calculator finds computes definite and indefinite integral of a given function with respect to a variable x