`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` 2. Type in any integral to get the solution, steps and graph Get the answer to Integral of sin(x)^2 with the Cymath math problem solver - a free math equation solver and math solving app for calculus and algebra. 6. 8 Answers. Chapter 5 Line and surface integrals: Solutions Example 5.1 Find the work done by the force F(x,y) = x2i xyj in moving a particle along the curve What is the integral of #sin(2x)cos^2(2x) ... Aug 5, 2016 Answer: #int sin(2x) ... Is it possible to delete questions on Socratic? Solving this integral requires the knowledge of trigonometry and the substitution method. Use the half angle formula, sin^2(x) = 1/2*(1 - cos(2x)) and substitute into the integral so it becomes 1/2 times the integral of (1 - cos(2x)) dx. Update Cancel. The attempt at a solution ... 5 minutes ago. Trigonometric Integrals{Solutions Friday, January 23 Review Compute the following integrals using integration by parts. ... sin(2x) = 1 4 sin2(2x) = 1 1 cos(4x) 4 2 sin2 x cos 2 x = 1 Free Mathematics Tutorials. Table of Integrals Basic Forms Z xndx = 1 n+ 1 xn+1 (1) Z 1 x dx= lnjxj (2) Z udv= uv Z vdu (3) Z 1 ax+ b dx= 1 a lnjax+ bj (4) Integrals of Rational Functions Z 1 We should now be able to calculate any integral of the form sinn x cosm xdx. Free Online Integral Calculator allows you to solve definite and indefinite ... since the derivative of `-cos(x) + "constant"` is `sin(x)`. First, cos^5 X=cos^4 X * cos X = (1-sin^2 X)^2 * cos X 1. Example 1: Evaluate the integral sin(a x + b) dx Solution to Example 1: Let u = a x + b which gives du/dx = a or dx = (1/a) du. Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. I know $\sin x$ integrates to $-\cos x$ but ive never seen $\sin^5(x)$ integrated. Free antiderivative calculator - solve integrals with all the steps. Socratic Meta Questions Topics What is the integral of #int sin^2(2x) dx#? Solving this integral requires the knowledge of trigonometry and the substitution method. Example 2: Evaluate the integral sin 5 (x) dx What is the Integral of sin^3(2x)? It might be helpful to make a substitution. Answered Dec 5, 2016. I know $\sin x$ integrates to $-\cos x$ but ive never seen $\sin^5(x)$ integrated. Benjamin Colson, HS Senior in Calc III. Didn't find what you were looking for? The integral `int sin^6 x dx` has to be determined. The problem statement, all variables and given/known data what is the integral of sin(x^2) dx? The anti derivative of sin(2x) means something that when you take the derivative of it will be sin(2x). Home; Math and Precalculus. Ask for it or check my other videos and playlists! how to calculate the integral of $\sin^2(x)/x^2$ [duplicate] up vote 6 down vote favorite. Type in any integral to get the solution, steps and graph Relevant equations 3. Indicated by the empty box here. The Integral Calculator lets you calculate integrals and antiderivatives of functions online for free! how to calculate the integral of $\sin^2(x) ... 5 Answers active oldest votes.