integral of sin 4 2x cos 5 2x dx

integral of sin 4 2x cos 5 2x dx 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

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integral of sin 4 2x cos 5 2x dx

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integral of sin 4 2x cos 5 2x dx
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What is the integral of sin4 2x dx Calculus Introduction to Integration Integrals of Trigonometric Functions 2 Answers Andrea S Apr 24 2018 sin4 2x dx 3x 8 sin 4x 8 The basic formula is f g x g x d x f u d u We commonly use this to integrate functions of the form sin m x cos n x d x The general rule of thumb

Intsin 4 x cos 2 x x 16 sin 4x 64 sin 3 2x 48 C This integral is pretty tricky It s going to require the use of a few trigonometric identities and rules for integration I ll Evaluate the integral int sin 4 2x cos 2x dx What I currently did is int left frac 1 cos 2x 2 right 2 cos2x dx Honestly I m not sure what to do I was absent from class

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Just looking at this beautifully set up equation we can see that we want to substitute sin 2x as u so as to have a cos 2x dx in the equation Thus Let sin 2x u Davneet Singh has done his B Tech from Indian Institute of Technology Kanpur He has been teaching from the past 14 years He provides courses for Maths Science and Computer Science at Teachoo Ex 7 3 10

1 Answer 1 vote answered Aug 5 2021 by Devakumari 50 0k points selected Aug 31 2021 by Ankush01 Best answer 1 4 sin2x 5 cos2x dx 1 4 s i n 2 x 5 c o s 2 x Vote answered Mar 14 2020 by RahulYadav 52 1k points selected Mar 14 2020 by Prerna01 Best answer Given as 1 4sin2x 5cos2x dx On dividing the numerator and denominator

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integral of sin 4 2x cos 5 2x dx - Solution steps sin2 2x cos4 2x dx Apply u substitution sin2 u cos4 u 21du sin2 u cos4 u 21du Take the constant out a f x dx a f x dx 21 sin2 u cos4 u du