I can't figure this problem out. It is a bit involved, but we can use u-substitution to find the integral of sin^4(x) Report Abuse. Answers, graphs, alternate forms. Socratic Meta Questions Topics What is the integral of #int sin^(4) (2x) dx#? Set u = 2x and du = 2dx to perform u substitution on the integral. You can integrate even powers of sines and cosines. Math2.org Math Tables: Table of Integrals Power of x. x n dx = x n+1 (n+1)-1 + C (n -1) Proof: x-1 dx = ln|x| + C: Exponential / Logarithmic. Calculus 2 Integration ... angle in the trigonometric function is not exactly the same as the variable of integration. 1 Answer The integral of cos(2x) is 1/2 x sin(2x) + C, where C is equal to a constant. What's zero divided by zero? 4 + c 1 + 1 sin(2x) 1 sin3(2x) + c 2 2 6 1 x sin(2x) 1 = 8 2 ... Integral of sin4(x) cos2(x) Author: Benjamin Brubaker and Heidi Burgiel Created Date: Indefinite integral of cos^4 2x dx I ... 1/64 (24x + 8 sin 4x + 8 sin x) + C 02-22-2012, 01:38 PM #2. pka. ... How to Integrate Even Powers of Sines and Cosines; ... heres how you integrate sin 2 x cos 4 x: `int sin^6 x dx` => `int (sin^2 x)^3 dx` => `int (1 - cos^2x)^3 dx` => `int -cos^6 x + 3*cos^4x - 3*cos^2 x + 1 dx` No homework, no tests, no pressure. Definite integral over a half-period: More digits; Definite integral mean square: [cos(2x)]^4. How do you integrate sin^4(2x) ... What is an example of European integration? TRIG! 1. Posted by hayden on Monday, February 23, 2009 at 4:05pm. The ... with u = 2x, du = 2dx. 117 Calculus Introduction to Integration Integrals of Trigonometric Functions. Yes No. Powered by Wolfram|Alpha. integral of sin^4 (x) * cos^4 (x) I tried a bunch of u substitutions but nothing so far has worked. sin3(2x) + c 2. 2 6 We conclude that: sin4 x cos 2 x dx = 1 cos(2x) 2 cos ... Integral of sin4(x) cos2(x) Author: Benjamin Brubaker and Heidi Burgiel How do I integrate cos^4 (2X)? Integration by parts is essentially the reverse of the product rule. Join in on the conversation about Integrate Sin^3(2x) - Help Please on the TSR community forums. Calculus Introduction to Integration Integrals of Trigonometric Functions. e x dx = e x + C Proof : 5 answers 5. Trigonometric Integrals{Solutions ... Compute the following integrals using integration by parts. I know that sin^2 x + cos^2 x = 1 and that cos2x = 2cos^2 (x) - 1 = 1-2sin^2 (x) and I can solve either of these for sin^2 (x) or Integral of sin^2x*cosx vs integral of sin^2x - Duration: 3:23. blackpenredpen 118,531 views. Get an answer for 'Evaluate the indefinite integral integrate of sin^4(x)cos^4(x)dx' and find homework help for other Math questions at eNotes What is definite integration of sin(2x) dx / (sin^4(x) + cos^4(x)) from 0 to pi I am getting integral 1 to 1 dt/(1+t^2) where t=cos 2x. What is definite integration of sin(2x) dx / (sin^4(x) + cos^4(x)) from 0 to pi I am getting integral 1 to 1 dt/(1+t^2) where t=cos 2x. 4 + c 1 + 1 sin(2x) 1 sin3(2x) + c 2 2 6 1 x sin(2x) 1 = 8 2 4 6 ... Integral of sin4(x) cos2(x) Author: Benjamin Brubaker and Heidi Burgiel How do you integrate #int sin^(4) (2x) #? Learn at your own pace. Evaluate the integral sin 2 (x) ... [ 4 sin 4 (x) + sin 2 (x) ]dx Hi everyone, I'm working on some calculus homework and have came to a little bit of a problem. I will not give you the whole answer because that will not help you learn this formula.